Launois, S.; Oppong, I. Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras. (English) Zbl 07787758 J. Geom. Phys. 196, Article ID 105077, 33 p. (2024). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 53D17 16E40 81S10 53D55 PDFBibTeX XMLCite \textit{S. Launois} and \textit{I. Oppong}, J. Geom. Phys. 196, Article ID 105077, 33 p. (2024; Zbl 07787758) Full Text: DOI arXiv
Crooks, Peter; Röser, Markus Hessenberg varieties and Poisson slices. (English) Zbl 1522.53071 Crooks, Peter (ed.) et al., Compactifications, configurations, and cohomology. Conference, Northeastern University, Boston, Massachusetts, USA, October 22–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 790, 25-57 (2023). MSC: 53D17 14M15 14M17 05E05 14L30 81T45 PDFBibTeX XMLCite \textit{P. Crooks} and \textit{M. Röser}, Contemp. Math. 790, 25--57 (2023; Zbl 1522.53071) Full Text: DOI arXiv
Jia, Weizhen; Klinger, Marc S.; Leigh, Robert G. BRST cohomology is Lie algebroid cohomology. (English) Zbl 07735276 Nucl. Phys., B 994, Article ID 116317, 27 p. (2023). MSC: 81P55 15A75 53D17 47L30 22F30 81S05 37C05 17B10 81T50 PDFBibTeX XMLCite \textit{W. Jia} et al., Nucl. Phys., B 994, Article ID 116317, 27 p. (2023; Zbl 07735276) Full Text: DOI arXiv
Behrend, Kai; Peddie, Matt; Xu, Ping Quantization of \((-1)\)-shifted derived Poisson manifolds. (English) Zbl 07732068 Commun. Math. Phys. 402, No. 3, 2301-2338 (2023). MSC: 53D17 53D50 81S10 PDFBibTeX XMLCite \textit{K. Behrend} et al., Commun. Math. Phys. 402, No. 3, 2301--2338 (2023; Zbl 07732068) Full Text: DOI arXiv
Pei, Yufeng; Sheng, Yunhe; Tang, Rong; Zhao, Kaiming Actions of monoidal categories and representations of Cartan type Lie algebras. (English) Zbl 1521.17014 J. Inst. Math. Jussieu 22, No. 5, 2367-2402 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B40 17B56 17B66 53D17 81R10 PDFBibTeX XMLCite \textit{Y. Pei} et al., J. Inst. Math. Jussieu 22, No. 5, 2367--2402 (2023; Zbl 1521.17014) Full Text: DOI arXiv
Muthiah, Dinakar; Weekes, Alex Symplectic leaves for generalized affine Grassmannian slices. (English) Zbl 1518.14072 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 287-298 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 14B05 20G15 53D17 81T13 PDFBibTeX XMLCite \textit{D. Muthiah} and \textit{A. Weekes}, Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 287--298 (2023; Zbl 1518.14072) Full Text: DOI arXiv
Felder, Matteo; Naef, Florian; Willwacher, Thomas Stable cohomology of graph complexes. (English) Zbl 1518.81051 Sel. Math., New Ser. 29, No. 2, Paper No. 23, 72 p. (2023). MSC: 81Q30 18G35 18G85 53D17 PDFBibTeX XMLCite \textit{M. Felder} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 23, 72 p. (2023; Zbl 1518.81051) Full Text: DOI arXiv
Buring, Ricardo; Kiselev, Arthemy V. Associativity certificates for Kontsevich’s star-product \(\star\) mod \(\bar{o}(\hbar^k)\): \(k\leqslant 6\) unlike \(k\geqslant7\). arXiv:2309.16664 Preprint, arXiv:2309.16664 [math.QA] (2023). MSC: 05C22 53D55 68R10 16Z05 53D17 81R60 81Q30 BibTeX Cite \textit{R. Buring} and \textit{A. V. Kiselev}, ``Associativity certificates for Kontsevich's star-product $\star$ mod $\bar{o}(\hbar^k)$: $k\leqslant 6$ unlike $k\geqslant7$'', Preprint, arXiv:2309.16664 [math.QA] (2023) Full Text: DOI arXiv OA License
Karzhemanov, I. V. Projective-geometric aspects of quantization. (English) Zbl 1505.53097 Lobachevskii J. Math. 43, No. 7, 1651-1654 (2022). MSC: 53D50 53D17 53A20 81T99 PDFBibTeX XMLCite \textit{I. V. Karzhemanov}, Lobachevskii J. Math. 43, No. 7, 1651--1654 (2022; Zbl 1505.53097) Full Text: DOI
Kupriyanov, Vladislav G.; Szabo, Richard J. Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry. (English) Zbl 1499.81072 J. Phys. A, Math. Theor. 55, No. 3, Article ID 035201, 60 p. (2022). MSC: 81T13 81T75 81S10 53D55 53D17 PDFBibTeX XMLCite \textit{V. G. Kupriyanov} and \textit{R. J. Szabo}, J. Phys. A, Math. Theor. 55, No. 3, Article ID 035201, 60 p. (2022; Zbl 1499.81072) Full Text: DOI arXiv
Cabrera, Alejandro; Cueca, Miquel Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids. (English) Zbl 1512.81067 Lett. Math. Phys. 112, No. 5, Paper No. 104, 48 p. (2022). MSC: 81T45 57R56 53D17 20L05 81T40 81S10 PDFBibTeX XMLCite \textit{A. Cabrera} and \textit{M. Cueca}, Lett. Math. Phys. 112, No. 5, Paper No. 104, 48 p. (2022; Zbl 1512.81067) Full Text: DOI arXiv
Haouam, Ilyas; Hassanabadi, Hassan Exact solution of \((2+1)\)-dimensional noncommutative Pauli equation in a time-dependent background. (English) Zbl 1502.81046 Int. J. Theor. Phys. 61, No. 8, Paper No. 215, 13 p. (2022). MSC: 81R25 78A35 81Q05 81S30 53D17 58H15 35Q41 81U15 78A30 PDFBibTeX XMLCite \textit{I. Haouam} and \textit{H. Hassanabadi}, Int. J. Theor. Phys. 61, No. 8, Paper No. 215, 13 p. (2022; Zbl 1502.81046) Full Text: DOI
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola Poisson commuting energies for a system of infinitely many bosons. (English) Zbl 1504.35493 Adv. Math. 406, Article ID 108525, 148 p. (2022). MSC: 35Q55 37K10 37K15 81Q05 81V70 53D17 PDFBibTeX XMLCite \textit{D. Mendelson} et al., Adv. Math. 406, Article ID 108525, 148 p. (2022; Zbl 1504.35493) Full Text: DOI arXiv
Bernardes, Vinícius; Mikhailov, Andrei; Viana, Eggon Derived brackets in bosonic string sigma-model. (English) Zbl 1500.81093 Nucl. Phys., B 982, Article ID 115874, 21 p. (2022). MSC: 81V73 55P50 81R15 17B63 53D17 53D12 14K20 13A05 PDFBibTeX XMLCite \textit{V. Bernardes} et al., Nucl. Phys., B 982, Article ID 115874, 21 p. (2022; Zbl 1500.81093) Full Text: DOI
Moshayedi, Nima On globalized traces for the Poisson sigma model. (English) Zbl 1498.81106 Commun. Math. Phys. 393, No. 1, 583-629 (2022). MSC: 81T20 11F72 53D17 18G65 PDFBibTeX XMLCite \textit{N. Moshayedi}, Commun. Math. Phys. 393, No. 1, 583--629 (2022; Zbl 1498.81106) Full Text: DOI arXiv
Moshayedi, Nima Kontsevich’s deformation quantization and quantum field theory. (English) Zbl 1504.53003 Lecture Notes in Mathematics 2311. Cham: Springer (ISBN 978-3-031-05121-0/pbk; 978-3-031-05122-7/ebook). xiii, 334 p. (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53-02 53D17 53D42 53D55 81T75 46L87 81Q30 18N70 PDFBibTeX XMLCite \textit{N. Moshayedi}, Kontsevich's deformation quantization and quantum field theory. Cham: Springer (2022; Zbl 1504.53003) Full Text: DOI
Weekes, Alex Quiver gauge theories and symplectic singularities. (English) Zbl 1484.81075 Adv. Math. 396, Article ID 108185, 21 p. (2022). MSC: 81T13 16G20 53D17 14E15 14M15 81V10 05C70 PDFBibTeX XMLCite \textit{A. Weekes}, Adv. Math. 396, Article ID 108185, 21 p. (2022; Zbl 1484.81075) Full Text: DOI arXiv
Cavalcanti, Gil R.; Witte, Aldo Non-principal T-duality, generalized complex geometry and blow-ups. arXiv:2211.17173 Preprint, arXiv:2211.17173 [math.DG] (2022). MSC: 53D18 53D17 53Z05 53D05 81T30 81T35 BibTeX Cite \textit{G. R. Cavalcanti} and \textit{A. Witte}, ``Non-principal T-duality, generalized complex geometry and blow-ups'', Preprint, arXiv:2211.17173 [math.DG] (2022) Full Text: arXiv OA License
Fischer, Simon-Raphael Integrating curved Yang-Mills gauge theories. arXiv:2210.02924 Preprint, arXiv:2210.02924 [math-ph] (2022). MSC: 53D17 81T13 17B99 BibTeX Cite \textit{S.-R. Fischer}, ``Integrating curved Yang-Mills gauge theories'', Preprint, arXiv:2210.02924 [math-ph] (2022) Full Text: arXiv OA License
Buring, Ricardo; Kiselev, Arthemy V. Kontsevich’s star-product up to order 7 for affine Poisson brackets: where are the Riemann zeta values? arXiv:2209.14438 Preprint, arXiv:2209.14438 [math.QA] (2022). MSC: 05C22 53D55 68R10 16Z05 53D17 81R60 81Q30 BibTeX Cite \textit{R. Buring} and \textit{A. V. Kiselev}, ``Kontsevich's star-product up to order 7 for affine Poisson brackets: where are the Riemann zeta values?'', Preprint, arXiv:2209.14438 [math.QA] (2022) Full Text: arXiv OA License
Yoshida, Zensho Nambu mechanics viewed as a Clebsch parameterized Poisson algebra – toward canonicalization and quantization. arXiv:2206.12519 Preprint, arXiv:2206.12519 [math-ph] (2022). MSC: 37K06 37J11 81S08 81S10 53D17 76Y05 BibTeX Cite \textit{Z. Yoshida}, ``Nambu mechanics viewed as a Clebsch parameterized Poisson algebra -- toward canonicalization and quantization'', Preprint, arXiv:2206.12519 [math-ph] (2022) Full Text: arXiv OA License
Boffo, Eugenia; Schupp, Peter A gravitational action with stringy \(Q\) and \(R\) fluxes via deformed differential graded Poisson algebras. (English) Zbl 1521.81102 J. High Energy Phys. 2021, No. 12, Paper No. 143, 35 p. (2021). MSC: 81R05 81R10 81T30 17B63 17B70 53D17 83E30 83D05 83E50 PDFBibTeX XMLCite \textit{E. Boffo} and \textit{P. Schupp}, J. High Energy Phys. 2021, No. 12, Paper No. 143, 35 p. (2021; Zbl 1521.81102) Full Text: DOI arXiv
Arvanitakis, Alex S. Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”. (English) Zbl 1521.81208 J. High Energy Phys. 2021, No. 11, Paper No. 114, 40 p. (2021). MSC: 81T30 83E30 83E50 53D17 58A50 PDFBibTeX XMLCite \textit{A. S. Arvanitakis}, J. High Energy Phys. 2021, No. 11, Paper No. 114, 40 p. (2021; Zbl 1521.81208) Full Text: DOI arXiv
Contreras, Ivan; Martínez Alba, Nicolás Poly-symplectic geometry and the AKSZ formalism. (English) Zbl 1491.53085 Rev. Math. Phys. 33, No. 9, Article ID 2150030, 14 p. (2021). Reviewer: Luen-Chau Li (University Park) MSC: 53D17 53D05 58A50 81T40 81T99 PDFBibTeX XMLCite \textit{I. Contreras} and \textit{N. Martínez Alba}, Rev. Math. Phys. 33, No. 9, Article ID 2150030, 14 p. (2021; Zbl 1491.53085) Full Text: DOI arXiv
Pulmann, Ján; Ševera, Pavol; Valach, Fridrich A non-abelian duality for (higher) gauge theories. (English) Zbl 1480.81095 Adv. Theor. Math. Phys. 25, No. 1, 241-274 (2021). MSC: 81T13 81T45 53D17 PDFBibTeX XMLCite \textit{J. Pulmann} et al., Adv. Theor. Math. Phys. 25, No. 1, 241--274 (2021; Zbl 1480.81095) Full Text: DOI arXiv
Marshall, I. The semi-direct product of Poisson \(G\)-spaces. (English) Zbl 1479.53084 J. Geom. Phys. 170, Article ID 104391, 25 p. (2021). MSC: 53D17 17B63 81Q99 PDFBibTeX XMLCite \textit{I. Marshall}, J. Geom. Phys. 170, Article ID 104391, 25 p. (2021; Zbl 1479.53084) Full Text: DOI arXiv
Grützmann, Melchior; Michel, Jean-Philippe; Xu, Ping Weyl quantization of degree 2 symplectic graded manifolds. (English. French summary) Zbl 1481.53105 J. Math. Pures Appl. (9) 154, 67-107 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 53D17 53D18 53D55 81S10 16W70 15A66 17B63 53B05 PDFBibTeX XMLCite \textit{M. Grützmann} et al., J. Math. Pures Appl. (9) 154, 67--107 (2021; Zbl 1481.53105) Full Text: DOI arXiv
Kocherova, A. S.; Zhdanovskiy, I. Yu. Some algebraic and geometric aspects of quantum measurements. (English. Russian original) Zbl 1469.81025 Proc. Steklov Inst. Math. 313, 99-112 (2021); translation from Tr. Mat. Inst. Steklova 313, 109-123 (2021). MSC: 81Q70 53D17 46G10 PDFBibTeX XMLCite \textit{A. S. Kocherova} and \textit{I. Yu. Zhdanovskiy}, Proc. Steklov Inst. Math. 313, 99--112 (2021; Zbl 1469.81025); translation from Tr. Mat. Inst. Steklova 313, 109--123 (2021) Full Text: DOI
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan On geometric quantization of \(b^m\)-symplectic manifolds. (English) Zbl 1465.81057 Math. Z. 298, No. 1-2, 281-288 (2021). MSC: 81S10 53D50 53D17 70H05 14M25 11F11 PDFBibTeX XMLCite \textit{V. W. Guillemin} et al., Math. Z. 298, No. 1--2, 281--288 (2021; Zbl 1465.81057) Full Text: DOI arXiv
Grewcoe, Clay James; Jonke, Larisa Double field theory algebroid and curved \(L_\infty \)-algebras. (English) Zbl 1465.81063 J. Math. Phys. 62, No. 5, Article ID 052302, 17 p. (2021). MSC: 81T30 81T10 53D17 58C50 PDFBibTeX XMLCite \textit{C. J. Grewcoe} and \textit{L. Jonke}, J. Math. Phys. 62, No. 5, Article ID 052302, 17 p. (2021; Zbl 1465.81063) Full Text: DOI arXiv
Kiselev, Arthemy V.; Buring, Ricardo The Kontsevich graph orientation morphism revisited. (English) Zbl 1479.05137 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 123-139 (2021). MSC: 05C22 16E45 53D17 68R10 81R60 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{R. Buring}, Banach Cent. Publ. 123, 123--139 (2021; Zbl 1479.05137) Full Text: DOI arXiv
Ikeda, Noriaki; Sasaki, Shin Global aspects of doubled geometry and pre-rackoid. (English) Zbl 1461.81097 J. Math. Phys. 62, No. 3, Article ID 032306, 20 p. (2021). MSC: 81T30 83E15 53D17 81T20 81T45 81T10 53Z05 PDFBibTeX XMLCite \textit{N. Ikeda} and \textit{S. Sasaki}, J. Math. Phys. 62, No. 3, Article ID 032306, 20 p. (2021; Zbl 1461.81097) Full Text: DOI arXiv
Dereli, Tekin; Doğan, Keremcan Metric-connection geometries on pre-Leibniz algebroids: a search for geometrical structure in string models. (English) Zbl 1464.83014 J. Math. Phys. 62, No. 3, Article ID 032301, 22 p. (2021). Reviewer: Alex B. Gaina (Chişinău) MSC: 83C05 83E05 83E30 81T30 81R10 53D17 PDFBibTeX XMLCite \textit{T. Dereli} and \textit{K. Doğan}, J. Math. Phys. 62, No. 3, Article ID 032301, 22 p. (2021; Zbl 1464.83014) Full Text: DOI arXiv
Spies, Alexander Poisson-geometric analogues of Kitaev models. (English) Zbl 1464.81050 Commun. Math. Phys. 383, No. 1, 345-400 (2021). Reviewer: Farhang Loran (Isfahan) MSC: 81T40 53D50 81S10 53D17 58D27 14D21 16T05 17B63 PDFBibTeX XMLCite \textit{A. Spies}, Commun. Math. Phys. 383, No. 1, 345--400 (2021; Zbl 1464.81050) Full Text: DOI arXiv
Fischer, Simon-Raphael Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons. (English) Zbl 1462.81139 J. Geom. Phys. 162, Article ID 104104, 23 p. (2021). MSC: 81T13 81V22 53D17 17B81 14D21 53C07 PDFBibTeX XMLCite \textit{S.-R. Fischer}, J. Geom. Phys. 162, Article ID 104104, 23 p. (2021; Zbl 1462.81139) Full Text: DOI arXiv
Ikeda, Noriaki; Strobl, Thomas Correction to: “BV and BFV for the H-twisted Poisson sigma model”. (English) Zbl 1466.81051 Ann. Henri Poincaré 22, No. 4, 1317-1318 (2021). MSC: 81T10 81R25 53D17 53Z05 81T13 81R05 PDFBibTeX XMLCite \textit{N. Ikeda} and \textit{T. Strobl}, Ann. Henri Poincaré 22, No. 4, 1317--1318 (2021; Zbl 1466.81051) Full Text: DOI
Ikeda, Noriaki; Strobl, Thomas BV and BFV for the H-twisted Poisson sigma model. (English) Zbl 1460.81051 Ann. Henri Poincaré 22, No. 4, 1267-1316 (2021); correction ibid. 22, No. 4, 1317-1318 (2021). MSC: 81T10 81R25 53D17 53Z05 81T13 81R05 PDFBibTeX XMLCite \textit{N. Ikeda} and \textit{T. Strobl}, Ann. Henri Poincaré 22, No. 4, 1267--1316 (2021; Zbl 1460.81051) Full Text: DOI arXiv
Bressler, Paul; Rengifo, Camilo Odd transgression for Courant algebroids. (English) Zbl 1460.53070 J. Geom. Phys. 159, Article ID 103960, 21 p. (2021). MSC: 53D17 81T99 17B99 PDFBibTeX XMLCite \textit{P. Bressler} and \textit{C. Rengifo}, J. Geom. Phys. 159, Article ID 103960, 21 p. (2021; Zbl 1460.53070) Full Text: DOI arXiv
Bambozzi, Federico; Murro, Simone On the uniqueness of invariant states. (English) Zbl 1453.81035 Adv. Math. 376, Article ID 107445, 38 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 81R05 46L30 53D17 22E70 81R25 58J28 37A05 PDFBibTeX XMLCite \textit{F. Bambozzi} and \textit{S. Murro}, Adv. Math. 376, Article ID 107445, 38 p. (2021; Zbl 1453.81035) Full Text: DOI arXiv
Huebschmann, Johannes Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces. arXiv:2108.01016 Preprint, arXiv:2108.01016 [math.DG] (2021). MSC: 53D30 14D21 14L24 14H60 32S60 53D17 53D20 53D50 58D27 81T13 BibTeX Cite \textit{J. Huebschmann}, ``Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces'', Preprint, arXiv:2108.01016 [math.DG] (2021) Full Text: arXiv OA License
Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe Information geometry on groupoids: the case of singular metrics. (English) Zbl 1480.81018 Open Syst. Inf. Dyn. 27, No. 3, Article ID 2050015, 19 p. (2020). MSC: 81P45 53Z05 53B05 53D17 17B81 PDFBibTeX XMLCite \textit{K. Grabowska} et al., Open Syst. Inf. Dyn. 27, No. 3, Article ID 2050015, 19 p. (2020; Zbl 1480.81018) Full Text: DOI arXiv
Gambini, Rodolfo; Rastgoo, Saeed; Pullin, Jorge Gravitation in terms of observables. II: The algebra of fundamental observables. (English) Zbl 1478.83091 Classical Quantum Gravity 37, No. 14, Article ID 145013, 20 p. (2020). MSC: 83C45 83C60 81Q10 70S15 53Z05 17B63 53D17 81S10 PDFBibTeX XMLCite \textit{R. Gambini} et al., Classical Quantum Gravity 37, No. 14, Article ID 145013, 20 p. (2020; Zbl 1478.83091) Full Text: DOI arXiv
Gohara, Jumpei; Hirota, Yuji; Sako, Akifumi A generalization of the quantization of Poisson manifolds. (English) Zbl 1471.81052 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 138-148 (2020). MSC: 81R60 81S10 17B63 53D17 53D50 53D55 PDFBibTeX XMLCite \textit{J. Gohara} et al., Geom. Integrability Quantization 21, 138--148 (2020; Zbl 1471.81052) Full Text: DOI
Bruce, Andrew James Almost commutative \(Q\)-algebras and derived brackets. (English) Zbl 1479.81036 J. Noncommut. Geom. 14, No. 2, 681-707 (2020). Reviewer: Vida Milani (North Logan) MSC: 81R60 46L87 17B75 53D17 58A50 PDFBibTeX XMLCite \textit{A. J. Bruce}, J. Noncommut. Geom. 14, No. 2, 681--707 (2020; Zbl 1479.81036) Full Text: DOI arXiv
Mori, Haruka; Sasaki, Shin More on doubled aspects of algebroids in double field theory. (English) Zbl 1455.81038 J. Math. Phys. 61, No. 12, 123504, 15 p. (2020). MSC: 81T30 81T35 53D17 PDFBibTeX XMLCite \textit{H. Mori} and \textit{S. Sasaki}, J. Math. Phys. 61, No. 12, 123504, 15 p. (2020; Zbl 1455.81038) Full Text: DOI arXiv
Odzijewicz, A.; Wawreniuk, E. An integrable (classical and quantum) four-wave mixing Hamiltonian system. (English) Zbl 1454.81085 J. Math. Phys. 61, No. 7, 073503, 18 p. (2020). MSC: 81Q10 70H05 81S08 53D17 78A60 81Q05 81V80 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, J. Math. Phys. 61, No. 7, 073503, 18 p. (2020; Zbl 1454.81085) Full Text: DOI arXiv
Appel, A.; Gautam, S. An explicit isomorphism between quantum and classical \(\mathfrak{sl}_n \). (English) Zbl 1467.53082 Transform. Groups 25, No. 4, 945-980 (2020). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 53D17 53D20 17B37 81R12 PDFBibTeX XMLCite \textit{A. Appel} and \textit{S. Gautam}, Transform. Groups 25, No. 4, 945--980 (2020; Zbl 1467.53082) Full Text: DOI arXiv
Hadad, Merav; Rosenblum, Levy Derivation of Hamilton-like equations on a non-Cauchy hypersurface and their expected connection to quantum gravity theories. (English) Zbl 1440.81043 Phys. Lett., B 801, Article ID 135144, 6 p. (2020). MSC: 81Q35 70H40 53D17 83C45 PDFBibTeX XMLCite \textit{M. Hadad} and \textit{L. Rosenblum}, Phys. Lett., B 801, Article ID 135144, 6 p. (2020; Zbl 1440.81043) Full Text: DOI arXiv
Ševera, Pavol; Valach, Fridrich Courant algebroids, Poisson-Lie T-duality, and Type II supergravities. (English) Zbl 1440.53092 Commun. Math. Phys. 375, No. 1, 307-344 (2020). MSC: 53D17 81T35 83E50 PDFBibTeX XMLCite \textit{P. Ševera} and \textit{F. Valach}, Commun. Math. Phys. 375, No. 1, 307--344 (2020; Zbl 1440.53092) Full Text: DOI arXiv
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation. (English) Zbl 1436.81031 Adv. Math. 365, Article ID 107054, 115 p. (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 81Q05 35Q55 81V70 82C10 53D17 PDFBibTeX XMLCite \textit{D. Mendelson} et al., Adv. Math. 365, Article ID 107054, 115 p. (2020; Zbl 1436.81031) Full Text: DOI arXiv
Mori, Haruka; Sasaki, Shin; Shiozawa, Kenta Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory. (English) Zbl 1431.81098 J. Math. Phys. 61, No. 1, 013505, 29 p. (2020). MSC: 81T13 18N10 53D17 15A75 53D12 PDFBibTeX XMLCite \textit{H. Mori} et al., J. Math. Phys. 61, No. 1, 013505, 29 p. (2020; Zbl 1431.81098) Full Text: DOI arXiv
Moshayedi, Nima Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory. arXiv:2012.14662 Preprint, arXiv:2012.14662 [math-ph] (2020). MSC: 81T20 81T45 81T70 81T18 57R56 53D55 53D05 53D17 53D20 53Z05 81Q30 81Q60 BibTeX Cite \textit{N. Moshayedi}, ``Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory'', Preprint, arXiv:2012.14662 [math-ph] (2020) Full Text: arXiv OA License
Arvanitakis, Alex S. Brane Wess-Zumino terms from AKSZ and exceptional generalised geometry as an \(L_\infty \)-algebroid. (English) Zbl 1480.81105 Adv. Theor. Math. Phys. 23, No. 5, 1159-1213 (2019). MSC: 81T32 53E50 58A50 53D17 83E15 58J28 58J32 81T30 PDFBibTeX XMLCite \textit{A. S. Arvanitakis}, Adv. Theor. Math. Phys. 23, No. 5, 1159--1213 (2019; Zbl 1480.81105) Full Text: DOI arXiv
Sharygin, Georgiy I. Deformation quantization of commutative families and vector fields. (English) Zbl 1442.81039 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 100-120 (2019). MSC: 81S10 53D55 53D17 17B81 53D40 58H15 PDFBibTeX XMLCite \textit{G. I. Sharygin}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 100--120 (2019; Zbl 1442.81039) Full Text: DOI
Braverman, Alexander; Finkelberg, Michael Coulomb branches of 3-dimensional gauge theories and related structures. (English) Zbl 1439.81074 Bruzzo, Ugo (ed.) et al., Geometric representation theory and gauge theory. Cetraro, Italy, June 25–29, 2018. Lecture notes given at the CIME school. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2248, 1-52 (2019). MSC: 81T13 53D17 57P10 58J47 14D21 PDFBibTeX XMLCite \textit{A. Braverman} and \textit{M. Finkelberg}, Lect. Notes Math. 2248, 1--52 (2019; Zbl 1439.81074) Full Text: DOI arXiv
Freidel, Laurent; Rudolph, Felix J.; Svoboda, David A unique connection for Born geometry. (English) Zbl 1434.53088 Commun. Math. Phys. 372, No. 1, 119-150 (2019). MSC: 53D17 53C15 81T30 PDFBibTeX XMLCite \textit{L. Freidel} et al., Commun. Math. Phys. 372, No. 1, 119--150 (2019; Zbl 1434.53088) Full Text: DOI arXiv
Ševera, Pavol; Strobl, Thomas Transverse generalized metrics and 2d sigma models. (English) Zbl 1428.81125 J. Geom. Phys. 146, Article ID 103509, 4 p. (2019). MSC: 81T30 81S30 53D17 PDFBibTeX XMLCite \textit{P. Ševera} and \textit{T. Strobl}, J. Geom. Phys. 146, Article ID 103509, 4 p. (2019; Zbl 1428.81125) Full Text: DOI arXiv
Klimčík, Ctirad Affine Poisson and affine quasi-Poisson T-duality. (English) Zbl 1409.81085 Nucl. Phys., B 939, 191-232 (2019). MSC: 81T17 17B63 53D17 22D35 PDFBibTeX XMLCite \textit{C. Klimčík}, Nucl. Phys., B 939, 191--232 (2019; Zbl 1409.81085) Full Text: DOI arXiv
Zalamea, Federico The twofold role of observables in classical and quantum kinematics. (English) Zbl 1447.81013 Found. Phys. 48, No. 9, 1061-1091 (2018). MSC: 81P05 70B05 17A15 17B63 32Q15 53D17 81S08 81S10 PDFBibTeX XMLCite \textit{F. Zalamea}, Found. Phys. 48, No. 9, 1061--1091 (2018; Zbl 1447.81013) Full Text: DOI arXiv Link
Svoboda, David Algebroid structures on para-Hermitian manifolds. (English) Zbl 1404.81144 J. Math. Phys. 59, No. 12, 122302, 24 p. (2018). MSC: 81R60 83C65 53D17 53C55 14D21 PDFBibTeX XMLCite \textit{D. Svoboda}, J. Math. Phys. 59, No. 12, 122302, 24 p. (2018; Zbl 1404.81144) Full Text: DOI arXiv
Han, Fei; Mathai, Varghese T-duality in an H-flux: exchange of momentum and winding. (English) Zbl 1403.58001 Commun. Math. Phys. 363, No. 1, 333-350 (2018). MSC: 58A10 81T30 53D17 PDFBibTeX XMLCite \textit{F. Han} and \textit{V. Mathai}, Commun. Math. Phys. 363, No. 1, 333--350 (2018; Zbl 1403.58001) Full Text: DOI arXiv Link
Contreras, Ivan; Martinez Alba, Nicolas Poly-Poisson sigma models and their relational poly-symplectic groupoids. (English) Zbl 1430.53088 J. Math. Phys. 59, No. 7, 072901, 20 p. (2018). MSC: 53D17 58H05 81T45 PDFBibTeX XMLCite \textit{I. Contreras} and \textit{N. Martinez Alba}, J. Math. Phys. 59, No. 7, 072901, 20 p. (2018; Zbl 1430.53088) Full Text: DOI arXiv
Jurčo, Branislav; Vysoký, Jan Poisson-Lie T-duality of string effective actions: a new approach to the dilaton puzzle. (English) Zbl 1390.81445 J. Geom. Phys. 130, 1-26 (2018). MSC: 81T30 81T10 81T20 53D17 53C07 PDFBibTeX XMLCite \textit{B. Jurčo} and \textit{J. Vysoký}, J. Geom. Phys. 130, 1--26 (2018; Zbl 1390.81445) Full Text: DOI arXiv
Linshaw, Andrew; Mathai, Varghese T-duality of singular spacetime compactifications in an H-flux. (English) Zbl 1388.81575 J. Geom. Phys. 129, 269-278 (2018). MSC: 81T30 53D17 58J52 83E15 53D45 PDFBibTeX XMLCite \textit{A. Linshaw} and \textit{V. Mathai}, J. Geom. Phys. 129, 269--278 (2018; Zbl 1388.81575) Full Text: DOI arXiv Link
Rutten, Nina J.; Kiselev, Arthemy V. The defining properties of the Kontsevich unoriented graph complex. arXiv:1811.10638 Preprint, arXiv:1811.10638 [math.CO] (2018). MSC: 05E18 53D55 13D10 53D17 81S10 BibTeX Cite \textit{N. J. Rutten} and \textit{A. V. Kiselev}, ``The defining properties of the Kontsevich unoriented graph complex'', Preprint, arXiv:1811.10638 [math.CO] (2018) Full Text: DOI arXiv OA License
Buring, Ricardo; Kiselev, Arthemy The orientation morphism: from graph cocycles to deformations of Poisson structures. arXiv:1811.07878 Preprint, arXiv:1811.07878 [math.CO] (2018). MSC: 05C22 68R10 16E45 53D17 81R60 BibTeX Cite \textit{R. Buring} and \textit{A. Kiselev}, ``The orientation morphism: from graph cocycles to deformations of Poisson structures'', Preprint, arXiv:1811.07878 [math.CO] (2018) Full Text: DOI arXiv OA License
Contreras, Ivan; Duman, Ali Nabi Geometric quantization and epistemically restricted theories: the continuous case. (English) Zbl 1486.81139 Duncan, Ross (ed.) et al., Proceedings of the 13th international conference on quantum physics and logic, QPL’16, Glasgow, Scotland, June 6–10, 2016. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 236, 40-50 (2017). MSC: 81S10 46L65 53D17 22A22 53D50 58A05 PDFBibTeX XMLCite \textit{I. Contreras} and \textit{A. N. Duman}, Electron. Proc. Theor. Comput. Sci. (EPTCS) 236, 40--50 (2017; Zbl 1486.81139) Full Text: arXiv Link
Buring, Ricardo; Kiselev, Arthemy V.; Rutten, Nina J. The heptagon-wheel cocycle in the Kontsevich graph complex. (English) Zbl 1420.53084 J. Nonlinear Math. Phys. 24, Suppl. 1, 157-173 (2017). MSC: 53D17 13D10 32G81 81S10 53D55 58J10 90C35 PDFBibTeX XMLCite \textit{R. Buring} et al., J. Nonlinear Math. Phys. 24, 157--173 (2017; Zbl 1420.53084) Full Text: DOI arXiv
Kiselev, Arthemy V. The deformation quantisation mapping of Poisson to associative structures in field theory. (English) Zbl 1393.53091 Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-37-9/pbk). Banach Center Publications 113, 219-242 (2017). Reviewer: Béchir Dali (Zarzouna Bizerte) MSC: 53D55 58E30 81S10 53D17 58Z05 70S20 PDFBibTeX XMLCite \textit{A. V. Kiselev}, Banach Cent. Publ. 113, 219--242 (2017; Zbl 1393.53091) Full Text: DOI arXiv
Ngakeu, Ferdinand Graded Lie agebroids of Poisson almost commutative algebras. (English) Zbl 1385.53075 Afr. Diaspora J. Math. 20, No. 2, 95-107 (2017). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B75 81R30 PDFBibTeX XMLCite \textit{F. Ngakeu}, Afr. Diaspora J. Math. 20, No. 2, 95--107 (2017; Zbl 1385.53075) Full Text: Euclid
Weinstein, Alan Categories of (co)isotropic linear relations. (English) Zbl 1388.18002 J. Symplectic Geom. 15, No. 2, 603-620 (2017). Reviewer: Ioan Pop (Iaşi) MSC: 18B10 53D17 81S10 15A99 PDFBibTeX XMLCite \textit{A. Weinstein}, J. Symplectic Geom. 15, No. 2, 603--620 (2017; Zbl 1388.18002) Full Text: DOI arXiv
Cattaneo, Alberto S.; Moshayedi, Nima; Wernli, Konstantin Relational symplectic groupoid quantization for constant Poisson structures. (English) Zbl 1385.53081 Lett. Math. Phys. 107, No. 9, 1649-1688 (2017). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D17 57R56 81T10 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Lett. Math. Phys. 107, No. 9, 1649--1688 (2017; Zbl 1385.53081) Full Text: DOI arXiv Link
Asorey, M.; Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. Covariant Jacobi brackets for test particles. (English) Zbl 1400.81134 Mod. Phys. Lett. A 32, No. 23, Article ID 1750122, 15 p. (2017). MSC: 81T05 81R20 17B63 53D17 53C80 PDFBibTeX XMLCite \textit{M. Asorey} et al., Mod. Phys. Lett. A 32, No. 23, Article ID 1750122, 15 p. (2017; Zbl 1400.81134) Full Text: DOI arXiv
Bouarroudj, Sofiane; Meng, Guowu The classical dynamic symmetry for the \(\mathrm{Sp}(1)\)-Kepler problems. (English) Zbl 1390.53090 J. Math. Phys. 58, No. 9, 091702, 11 p. (2017). MSC: 53D17 70F10 17B81 81R10 PDFBibTeX XMLCite \textit{S. Bouarroudj} and \textit{G. Meng}, J. Math. Phys. 58, No. 9, 091702, 11 p. (2017; Zbl 1390.53090) Full Text: DOI arXiv
Heller, Marc Andre; Ikeda, Noriaki; Watamura, Satoshi Courant algebroids from double field theory in supergeometry. (English) Zbl 1375.81200 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Hackensack, NJ: World Scientific (ISBN 978-981-3144-60-6/hbk; 978-981-3144-62-0/ebook). 315-335 (2017). MSC: 81T30 53D17 58A50 81-02 53D05 PDFBibTeX XMLCite \textit{M. A. Heller} et al., in: Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 ``Fundamental problems in quantum physics: strings, black holes and quantum information'', and related events in the period 2014--2016. Hackensack, NJ: World Scientific. 315--335 (2017; Zbl 1375.81200) Full Text: arXiv
Jurčo, B.; Visoký, J. Courant algebroid connections and string effective actions. (English) Zbl 1380.81276 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Hackensack, NJ: World Scientific (ISBN 978-981-3144-60-6/hbk; 978-981-3144-62-0/ebook). 211-265 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 81T30 53D17 53C05 01A70 PDFBibTeX XMLCite \textit{B. Jurčo} and \textit{J. Visoký}, in: Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 ``Fundamental problems in quantum physics: strings, black holes and quantum information'', and related events in the period 2014--2016. Hackensack, NJ: World Scientific. 211--265 (2017; Zbl 1380.81276) Full Text: arXiv
Asorey, M.; Ciaglia, F. M.; Di Cosmo, F.; Ibort, A. Erratum: “Covariant brackets for particles and fields”. (English) Zbl 1371.81202 Mod. Phys. Lett. A 32, No. 22, Article ID 1792002, 1 p. (2017). MSC: 81T05 81R20 17B63 53D17 53C80 PDFBibTeX XMLCite \textit{M. Asorey} et al., Mod. Phys. Lett. A 32, No. 22, Article ID 1792002, 1 p. (2017; Zbl 1371.81202) Full Text: DOI
Stachura, Piotr On Poisson structures related to \(\kappa\)-Poincaré group. (English) Zbl 1375.53101 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750133, 14 p. (2017). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 81R50 PDFBibTeX XMLCite \textit{P. Stachura}, Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750133, 14 p. (2017; Zbl 1375.53101) Full Text: DOI arXiv
Khudaverdian, Hovhannes M.; Peddie, Matthew T. Odd Laplacians: geometrical meaning of potential and modular class. (English) Zbl 1373.53113 Lett. Math. Phys. 107, No. 7, 1195-1214 (2017). MSC: 53D17 58A50 81R99 PDFBibTeX XMLCite \textit{H. M. Khudaverdian} and \textit{M. T. Peddie}, Lett. Math. Phys. 107, No. 7, 1195--1214 (2017; Zbl 1373.53113) Full Text: DOI arXiv
Hirota, Yuji Erratum: “Geometric quantization of Dirac manifolds”. (English) Zbl 1370.81097 J. Math. Phys. 58, No. 7, 079901, 1 p. (2017). MSC: 81S10 53D17 53D05 53D50 70H45 PDFBibTeX XMLCite \textit{Y. Hirota}, J. Math. Phys. 58, No. 7, 079901, 1 p. (2017; Zbl 1370.81097) Full Text: DOI
Asorey, M.; Ciaglia, M.; Di Cosmo, F.; Ibort, A. Covariant brackets for particles and fields. (English) Zbl 1369.81055 Mod. Phys. Lett. A 32, No. 19, Article ID 1750100, 16 p. (2017). MSC: 81T05 81R20 17B63 53D17 53C80 PDFBibTeX XMLCite \textit{M. Asorey} et al., Mod. Phys. Lett. A 32, No. 19, Article ID 1750100, 16 p. (2017; Zbl 1369.81055) Full Text: DOI arXiv
Eliashberg, Yakov Book review of: L. Polterovich and D. Rosen, Function theory on symplectic manifolds. (English) Zbl 1352.00013 Bull. Am. Math. Soc., New Ser. 54, No. 1, 135-140 (2017). MSC: 00A17 53-02 53D05 53D17 53D40 57R17 81S10 81P15 53D42 PDFBibTeX XMLCite \textit{Y. Eliashberg}, Bull. Am. Math. Soc., New Ser. 54, No. 1, 135--140 (2017; Zbl 1352.00013) Full Text: DOI
Buring, Ricardo; Kiselev, Arthemy V.; Rutten, Nina J. Poisson brackets symmetry from the pentagon-wheel cocycle in the graph complex. arXiv:1712.05259 Preprint, arXiv:1712.05259 [math-ph] (2017). MSC: 13D10 32G81 53D17 90C35 53D55 58J10 58Z05 81S10 BibTeX Cite \textit{R. Buring} et al., ``Poisson brackets symmetry from the pentagon-wheel cocycle in the graph complex'', Preprint, arXiv:1712.05259 [math-ph] (2017) Full Text: DOI arXiv OA License
Buring, Ricardo; Kiselev, Arthemy V.; Rutten, Nina Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus. arXiv:1710.02405 Preprint, arXiv:1710.02405 [math.CO] (2017). MSC: 13D10 32G81 53D17 81S10 53D55 58J10 90C35 BibTeX Cite \textit{R. Buring} et al., ``Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus'', Preprint, arXiv:1710.02405 [math.CO] (2017) Full Text: DOI arXiv OA License
Chatzistavrakidis, Athanasios; Deser, Andreas; Jonke, Larisa; Strobl, Thomas Beyond the standard gauging: gauge symmetries of Dirac sigma models. (English) Zbl 1390.81313 J. High Energy Phys. 2016, No. 8, Paper No. 172, 28 p. (2016). MSC: 81T13 53D17 70S10 70S15 PDFBibTeX XMLCite \textit{A. Chatzistavrakidis} et al., J. High Energy Phys. 2016, No. 8, Paper No. 172, 28 p. (2016; Zbl 1390.81313) Full Text: DOI arXiv
Ševera, Pavol Poisson-Lie T-duality as a boundary phenomenon of Chern-Simons theory. (English) Zbl 1388.81366 J. High Energy Phys. 2016, No. 5, Paper No. 44, 18 p. (2016). MSC: 81T13 53D17 PDFBibTeX XMLCite \textit{P. Ševera}, J. High Energy Phys. 2016, No. 5, Paper No. 44, 18 p. (2016; Zbl 1388.81366) Full Text: DOI arXiv
Deser, Andreas Star products on graded manifolds and \(\alpha'\)-corrections to double field theory. (English) Zbl 1442.81057 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer. Trends Math., 311-320 (2016). MSC: 81T30 81R05 81R10 53D55 81T13 53D17 53D18 46L65 PDFBibTeX XMLCite \textit{A. Deser}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 311--320 (2016; Zbl 1442.81057) Full Text: DOI arXiv
Voronov, Theodore Th. On volumes of classical supermanifolds. (English. Russian original) Zbl 1368.58002 Sb. Math. 207, No. 11, 1512-1536 (2016); translation from Mat. Sb. 207, No. 11, 25-52 (2016). Reviewer: Luca Vitagliano (Fisciano) MSC: 58A50 58C50 53D17 81T60 PDFBibTeX XMLCite \textit{T. Th. Voronov}, Sb. Math. 207, No. 11, 1512--1536 (2016; Zbl 1368.58002); translation from Mat. Sb. 207, No. 11, 25--52 (2016) Full Text: DOI arXiv
Bonechi, Francesco; Qiu, Jian; Tarlini, Marco A bi-Hamiltonian system on the Grassmannian. (English. Russian original) Zbl 1355.81100 Theor. Math. Phys. 189, No. 1, 1401-1410 (2016); translation from Teor. Mat. Fiz. 189, No. 1, 3-14 (2016). MSC: 81S10 53D17 PDFBibTeX XMLCite \textit{F. Bonechi} et al., Theor. Math. Phys. 189, No. 1, 1401--1410 (2016; Zbl 1355.81100); translation from Teor. Mat. Fiz. 189, No. 1, 3--14 (2016) Full Text: DOI
Hirota, Yuji Geometric quantization of Dirac manifolds. (English) Zbl 1357.81128 J. Math. Phys. 57, No. 12, 123507, 28 p. (2016); erratum ibid. 58, No. 7, 079901, 1 p. (2017). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D17 53D05 53D50 70H45 PDFBibTeX XMLCite \textit{Y. Hirota}, J. Math. Phys. 57, No. 12, 123507, 28 p. (2016; Zbl 1357.81128) Full Text: DOI arXiv
Buring, Ricardo; Kiselev, Arthemy V. On the Kontsevich \(\star\)-product associativity mechanism. arXiv:1602.09036 Preprint, arXiv:1602.09036 [math.QA] (2016). MSC: 53D55 81S10 53D17 58Z05 70S20 BibTeX Cite \textit{R. Buring} and \textit{A. V. Kiselev}, ``On the Kontsevich $\star$-product associativity mechanism'', Preprint, arXiv:1602.09036 [math.QA] (2016) Full Text: DOI arXiv OA License
Arias, Cesar; Boulanger, Nicolas; Sundell, Per; Torres-Gomez, Alexander 2D sigma models and differential Poisson algebras. (English) Zbl 1388.81176 J. High Energy Phys. 2015, No. 8, Paper No. 95, 18 p. (2015). MSC: 81R10 53D17 PDFBibTeX XMLCite \textit{C. Arias} et al., J. High Energy Phys. 2015, No. 8, Paper No. 95, 18 p. (2015; Zbl 1388.81176) Full Text: DOI arXiv
Asakawa, Tsuguhiko; Muraki, Hisayoshi; Watamura, Satoshi Topological T-duality via Lie algebroids and \(Q\)-flux in Poisson-generalized geometry. (English) Zbl 1337.81100 Int. J. Mod. Phys. A 30, No. 30, Article ID 1550182, 32 p. (2015). MSC: 81T30 81T75 53D17 PDFBibTeX XMLCite \textit{T. Asakawa} et al., Int. J. Mod. Phys. A 30, No. 30, Article ID 1550182, 32 p. (2015; Zbl 1337.81100) Full Text: DOI arXiv
Baraglia, David; Hekmati, Pedram Transitive Courant algebroids, string structures and T-duality. (English) Zbl 1342.81395 Adv. Theor. Math. Phys. 19, No. 3, 613-672 (2015). Reviewer: Saeid Jafari (Slagelse) MSC: 81T30 81V17 83E30 53D17 PDFBibTeX XMLCite \textit{D. Baraglia} and \textit{P. Hekmati}, Adv. Theor. Math. Phys. 19, No. 3, 613--672 (2015; Zbl 1342.81395) Full Text: DOI arXiv
Klimčík, Ctirad On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories. (English) Zbl 1331.81224 J. Math. Phys. 56, No. 12, 122302, 22 p. (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81T20 81T13 81T60 81T75 46S60 53D17 81R50 PDFBibTeX XMLCite \textit{C. Klimčík}, J. Math. Phys. 56, No. 12, 122302, 22 p. (2015; Zbl 1331.81224) Full Text: DOI arXiv HAL
Valtancoli, P. Canonical transformations and minimal length. (English) Zbl 1388.81426 J. Math. Phys. 56, No. 12, 122107, 7 p. (2015). MSC: 81T20 53D17 PDFBibTeX XMLCite \textit{P. Valtancoli}, J. Math. Phys. 56, No. 12, 122107, 7 p. (2015; Zbl 1388.81426) Full Text: DOI arXiv
Forger, Michael; Salles, Mário O. On covariant Poisson brackets in classical field theory. (English) Zbl 1353.70060 J. Math. Phys. 56, No. 10, 102901, 26 p. (2015). MSC: 70S05 53D17 53D05 81T20 PDFBibTeX XMLCite \textit{M. Forger} and \textit{M. O. Salles}, J. Math. Phys. 56, No. 10, 102901, 26 p. (2015; Zbl 1353.70060) Full Text: DOI arXiv
Cirilo-Lombardo, Diego Julio Algebraic structures, physics and geometry from a unified field theoretical framework. (English) Zbl 1325.81180 Int. J. Theor. Phys. 54, No. 10, 3713-3727 (2015). MSC: 81V22 81R15 53D17 55R91 58C50 PDFBibTeX XMLCite \textit{D. J. Cirilo-Lombardo}, Int. J. Theor. Phys. 54, No. 10, 3713--3727 (2015; Zbl 1325.81180) Full Text: DOI arXiv
Asakawa, Tsuguhiko; Muraki, Hisayoshi; Sasa, Shuhei; Watamura, Satoshi Poisson-generalized geometry and \(R\)-flux. (English) Zbl 1322.81065 Int. J. Mod. Phys. A 30, No. 17, Article ID 1550097, 25 p. (2015). MSC: 81T30 81T75 53D17 81T70 81S10 53D50 PDFBibTeX XMLCite \textit{T. Asakawa} et al., Int. J. Mod. Phys. A 30, No. 17, Article ID 1550097, 25 p. (2015; Zbl 1322.81065) Full Text: DOI arXiv
Linshaw, Andrew; Mathai, Varghese Twisted chiral de Rham complex, generalized geometry, and T-duality. (English) Zbl 1351.53101 Commun. Math. Phys. 339, No. 2, 663-697 (2015). MSC: 53D17 53D18 81T60 14F40 PDFBibTeX XMLCite \textit{A. Linshaw} and \textit{V. Mathai}, Commun. Math. Phys. 339, No. 2, 663--697 (2015; Zbl 1351.53101) Full Text: DOI arXiv