Cotti, Giordano Borel \((\boldsymbol{\alpha},\boldsymbol{\beta})\)-multitransforms and quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for \(\mathbb{P}^1\)-bundles. (English. French summary) Zbl 07809642 J. Math. Pures Appl. (9) 183, 102-136 (2024). MSC: 53D45 44A20 44A30 33B20 PDFBibTeX XMLCite \textit{G. Cotti}, J. Math. Pures Appl. (9) 183, 102--136 (2024; Zbl 07809642) Full Text: DOI arXiv
Tarasov, Vitaly; Varchenko, Alexander Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian. (English) Zbl 07807768 Sel. Math., New Ser. 30, No. 2, Paper No. 25, 33 p. (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 53D45 14D05 33C70 PDFBibTeX XMLCite \textit{V. Tarasov} and \textit{A. Varchenko}, Sel. Math., New Ser. 30, No. 2, Paper No. 25, 33 p. (2024; Zbl 07807768) Full Text: DOI arXiv
Dinkins, Hunter On the vertex functions of type \(A\) quiver varieties. (English) Zbl 07801975 Lett. Math. Phys. 114, No. 1, Paper No. 23, 37 p. (2024). MSC: 14N35 05E14 33D70 16G20 PDFBibTeX XMLCite \textit{H. Dinkins}, Lett. Math. Phys. 114, No. 1, Paper No. 23, 37 p. (2024; Zbl 07801975) Full Text: DOI arXiv OA License
Tarasov, Vitaly; Varchenko, Alexander Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety. (English) Zbl 1512.14032 J. Geom. Phys. 184, Article ID 104711, 58 p. (2023). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14N35 53D45 14D05 33C70 PDFBibTeX XMLCite \textit{V. Tarasov} and \textit{A. Varchenko}, J. Geom. Phys. 184, Article ID 104711, 58 p. (2023; Zbl 1512.14032) Full Text: DOI arXiv
Reineke, Markus Wild quantum dilogarithm identities. arXiv:2302.12062 Preprint, arXiv:2302.12062 [math.QA] (2023). MSC: 33D80 14D20 14N35 16G20 BibTeX Cite \textit{M. Reineke}, ``Wild quantum dilogarithm identities'', Preprint, arXiv:2302.12062 [math.QA] (2023) Full Text: arXiv OA License
Ruan, Yong Bin; Wen, Yao Xiong Quantum \(K\)-theory and \(q\)-difference equations. (English) Zbl 07615086 Acta Math. Sin., Engl. Ser. 38, No. 10, 1677-1704 (2022). MSC: 39A13 33E30 33D05 05A30 11B65 14N35 PDFBibTeX XMLCite \textit{Y. B. Ruan} and \textit{Y. X. Wen}, Acta Math. Sin., Engl. Ser. 38, No. 10, 1677--1704 (2022; Zbl 07615086) Full Text: DOI arXiv
Milanov, Todor; Roquefeuil, Alexis Confluence in quantum \(K\)-theory of weak Fano manifolds and \(q\)-oscillatory integrals for toric manifolds. (English) Zbl 1509.14110 Adv. Math. 409, Part B, Article ID 108682, 57 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14N35 14J33 39A45 33D05 35Q53 PDFBibTeX XMLCite \textit{T. Milanov} and \textit{A. Roquefeuil}, Adv. Math. 409, Part B, Article ID 108682, 57 p. (2022; Zbl 1509.14110) Full Text: DOI arXiv
Wen, Yaoxinog Difference equation for quintic 3-fold. (English) Zbl 1492.14102 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 043, 25 p. (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 33D90 39A13 PDFBibTeX XMLCite \textit{Y. Wen}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 043, 25 p. (2022; Zbl 1492.14102) Full Text: DOI arXiv
Barbieri, Anna; Bridgeland, Tom; Stoppa, Jacopo A quantized Riemann-Hilbert problem in Donaldson-Thomas theory. (English) Zbl 1494.14055 Int. Math. Res. Not. 2022, No. 5, 3417-3456 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 30E25 81R50 33E99 PDFBibTeX XMLCite \textit{A. Barbieri} et al., Int. Math. Res. Not. 2022, No. 5, 3417--3456 (2022; Zbl 1494.14055) Full Text: DOI arXiv
Corti, Alessio; Gugiatti, Giulia Hyperelliptic integrals and mirrors of the Johnson-Kollár del Pezzo surfaces. (English) Zbl 1511.14063 Trans. Am. Math. Soc. 374, No. 12, 8603-8637 (2021). Reviewer: Hulya Arguz (London) MSC: 14J33 14D07 14N35 33Cxx PDFBibTeX XMLCite \textit{A. Corti} and \textit{G. Gugiatti}, Trans. Am. Math. Soc. 374, No. 12, 8603--8637 (2021; Zbl 1511.14063) Full Text: DOI arXiv
Alexandrov, Sergei; Pioline, Boris Heavenly metrics, BPS indices and twistors. (English) Zbl 1491.53063 Lett. Math. Phys. 111, No. 5, Paper No. 116, 41 p. (2021). MSC: 53C26 14N35 34M56 35Q15 53C28 53D55 81T30 14J32 14J42 81T60 33B15 PDFBibTeX XMLCite \textit{S. Alexandrov} and \textit{B. Pioline}, Lett. Math. Phys. 111, No. 5, Paper No. 116, 41 p. (2021; Zbl 1491.53063) Full Text: DOI arXiv
Ferapontov, E. V.; Pavlov, M. V.; Xue, Lingling Second-order integrable Lagrangians and WDVV equations. (English) Zbl 1464.35279 Lett. Math. Phys. 111, No. 2, Paper No. 58, 33 p. (2021). MSC: 35Q51 37K06 37K10 37K20 53D45 33E05 PDFBibTeX XMLCite \textit{E. V. Ferapontov} et al., Lett. Math. Phys. 111, No. 2, Paper No. 58, 33 p. (2021; Zbl 1464.35279) Full Text: DOI arXiv
Dumitrescu, Olivia; Mulase, Motohico Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. (English) Zbl 1469.14067 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021; Zbl 1469.14067) Full Text: DOI arXiv
Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A. The 2-leg vertex in \(K\)-theoretic DT theory. (English) Zbl 1467.14133 Commun. Math. Phys. 382, No. 3, 1579-1599 (2021). MSC: 14N35 14C35 19L47 33C80 14M25 14F08 PDFBibTeX XMLCite \textit{Ya. Kononov} et al., Commun. Math. Phys. 382, No. 3, 1579--1599 (2021; Zbl 1467.14133) Full Text: DOI arXiv
Dubrovin, Boris; Yang, Di; Zagier, Don On tau-functions for the KdV hierarchy. (English) Zbl 1458.14061 Sel. Math., New Ser. 27, No. 1, Paper No. 12, 48 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14N35 37K10 53D45 05A15 33E15 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., Sel. Math., New Ser. 27, No. 1, Paper No. 12, 48 p. (2021; Zbl 1458.14061) Full Text: DOI arXiv Link
Koroteev, Peter A-type quiver varieties and ADHM moduli spaces. (English) Zbl 1456.14017 Commun. Math. Phys. 381, No. 1, 175-207 (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14D21 14N35 81T30 33D52 PDFBibTeX XMLCite \textit{P. Koroteev}, Commun. Math. Phys. 381, No. 1, 175--207 (2021; Zbl 1456.14017) Full Text: DOI arXiv
Krattenthaler, C. Proof of two multivariate \(q\)-binomial sums arising in Gromov-Witten theory. arXiv:2102.02360 Preprint, arXiv:2102.02360 [math.CA] (2021). MSC: 33D15 05A30 14J32 14N35 53D45 57M27 BibTeX Cite \textit{C. Krattenthaler}, ``Proof of two multivariate $q$-binomial sums arising in Gromov-Witten theory'', Preprint, arXiv:2102.02360 [math.CA] (2021) Full Text: arXiv OA License
Barbieri, Anna A Riemann-Hilbert problem for uncoupled BPS structures. (English) Zbl 1440.14045 Manuscr. Math. 162, No. 1-2, 1-21 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14N35 14J33 14F08 33B15 45Q05 PDFBibTeX XMLCite \textit{A. Barbieri}, Manuscr. Math. 162, No. 1--2, 1--21 (2020; Zbl 1440.14045) Full Text: DOI arXiv
Dumitrescu, Olivia; Mulase, Motohico Quantization of spectral curves for meromorphic Higgs bundles through topological recursion. (English) Zbl 1452.14031 Liu, Chiu-Chu Melissa (ed.) et al., Topological recursion and its influence in analysis, geometry, and topology. 2016 AMS von Neumann symposium on topological recursion and its influence in analysis, geometry, and topology, Charlotte, NC, USA, July 4–8, 2016. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 100, 179-229 (2018). MSC: 14H81 14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, Proc. Symp. Pure Math. 100, 179--229 (2018; Zbl 1452.14031) Full Text: DOI arXiv
Dumitrescu, Olivia; Mulase, Motohico Lectures on the topological recursion for Higgs bundles and quantum curves. (English) Zbl 1401.14001 Wentworth, Richard (ed.) et al., The geometry, topology and physics of moduli spaces of Higgs bundles. Based on minicourses from the program on “The geometry, topology and physics of moduli spaces of Higgs bundles”, IMS, Singapore, July 7 – August 29, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3229-08-2/hbk; 978-981-3229-10-5/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 36, 103-198 (2018). MSC: 14-01 81-01 81T45 14H70 14H81 14H15 14N35 15B52 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 36, 103--198 (2018; Zbl 1401.14001) Full Text: DOI arXiv
Dumitrescu, Olivia; Mulase, Motohico An invitation to 2D TQFT and quantization of Hitchin spectral curves. (English) Zbl 1428.14046 Carqueville, Nils (ed.) et al., Advanced school on topological quantum field theory. Selected papers based on the presentations at the advanced school, University of Warsaw, Warsaw, Poland, December 7–9, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 114, 85-144 (2018). MSC: 14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, Banach Cent. Publ. 114, 85--144 (2018; Zbl 1428.14046) Full Text: DOI arXiv Link
Bringmann, Kathrin; Kaszián, Jonas; Rolen, Larry Indefinite theta functions arising in Gromov-Witten theory of elliptic orbifolds. (English) Zbl 1408.14176 Camb. J. Math. 6, No. 1, 25-57 (2018). MSC: 14N35 33E30 81T60 11F99 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Camb. J. Math. 6, No. 1, 25--57 (2018; Zbl 1408.14176) Full Text: DOI arXiv
Stepanyantz, K. V. Non-renormalization of the \(V \overline{c} c\)-vertices in \(\mathcal{N} = 1\) supersymmetric theories. (English) Zbl 1342.81619 Nucl. Phys., B 909, 316-335 (2016). MSC: 81T60 81T13 81T15 81T18 14N35 33B15 PDFBibTeX XMLCite \textit{K. V. Stepanyantz}, Nucl. Phys., B 909, 316--335 (2016; Zbl 1342.81619) Full Text: DOI arXiv
Abe, Yasuhiro A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes. (English) Zbl 1336.33034 Nucl. Phys., B 907, 107-153 (2016). MSC: 33C70 14M15 14N35 37K10 81U05 81T13 81T60 81-02 PDFBibTeX XMLCite \textit{Y. Abe}, Nucl. Phys., B 907, 107--153 (2016; Zbl 1336.33034) Full Text: DOI arXiv
Brézin, E.; Hikami, S. Random matrix, singularities and open/close intersection numbers. (English) Zbl 1335.60006 J. Phys. A, Math. Theor. 48, No. 47, Article ID 475201, 44 p. (2015). MSC: 60B20 14N35 17B80 33C10 14D21 14J81 81T30 PDFBibTeX XMLCite \textit{E. Brézin} and \textit{S. Hikami}, J. Phys. A, Math. Theor. 48, No. 47, Article ID 475201, 44 p. (2015; Zbl 1335.60006) Full Text: DOI arXiv
Kato, Akishi; Terashima, Yuji Quantum dilogarithms and partition \(q\)-series. (English) Zbl 1318.81053 Commun. Math. Phys. 338, No. 1, 457-481 (2015). MSC: 81T40 13F60 05E15 33C80 81R10 11F37 14N35 PDFBibTeX XMLCite \textit{A. Kato} and \textit{Y. Terashima}, Commun. Math. Phys. 338, No. 1, 457--481 (2015; Zbl 1318.81053) Full Text: DOI arXiv
Lorenzoni, Paolo Darboux-Egorov system, bi-flat \(F\)-manifolds and Painlevé. VI. (English) Zbl 1307.53073 Int. Math. Res. Not. 2014, No. 12, 3279-3302 (2014). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53D45 53D17 34M55 33E17 53D37 PDFBibTeX XMLCite \textit{P. Lorenzoni}, Int. Math. Res. Not. 2014, No. 12, 3279--3302 (2014; Zbl 1307.53073) Full Text: DOI arXiv
Popa, Alexandra The genus one Gromov-Witten invariants of Calabi-Yau complete intersections. (English) Zbl 1273.14116 Trans. Am. Math. Soc. 365, No. 3, 1149-1181 (2013). Reviewer: Johannes Walcher (Montréal) MSC: 14N35 33C90 14J32 PDFBibTeX XMLCite \textit{A. Popa}, Trans. Am. Math. Soc. 365, No. 3, 1149--1181 (2013; Zbl 1273.14116) Full Text: DOI arXiv
Liu, Kefeng; Xu, Hao Descendent integrals and tautological rings of moduli spaces of curves. (English) Zbl 1258.14034 Ji, Lizhen (ed.), Geometry and analysis, No. 2. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-225-1/pbk). Advanced Lectures in Mathematics (ALM) 18, 137-172 (2011). Reviewer: Loek Spitz (Amsterdam) MSC: 14H10 14H70 14N35 33D70 PDFBibTeX XMLCite \textit{K. Liu} and \textit{H. Xu}, Adv. Lect. Math. (ALM) 18, 137--172 (2011; Zbl 1258.14034) Full Text: arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Parabolic Whittaker functions and topological field theories. I. (English) Zbl 1252.81115 Commun. Number Theory Phys. 5, No. 1, 135-202 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 81T45 22E57 11S80 81R12 37K10 14J33 14N35 33C15 53D45 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Number Theory Phys. 5, No. 1, 135--202 (2011; Zbl 1252.81115) Full Text: DOI arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Archimedean \(L\)-factors and topological field theories. I. (English) Zbl 1251.14011 Commun. Number Theory Phys. 5, No. 1, 57-100 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 14G10 81T45 14N35 33B15 11S80 53D45 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Number Theory Phys. 5, No. 1, 57--100 (2011; Zbl 1251.14011) Full Text: DOI arXiv
Strachan, Ian A. B. Differential and functional identities for the elliptic trilogarithm. (English) Zbl 1213.11142 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 031, 12 p. (2009). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 11G55 11F55 33B30 53D45 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 031, 12 p. (2009; Zbl 1213.11142) Full Text: DOI arXiv EuDML
Koshkin, Sergiy Quantum Barnes function as the partition function of the resolved conifold. (English) Zbl 1167.14037 Int. J. Math. Math. Sci. 2008, Article ID 438648, 47 p. (2008). MSC: 14N35 58J28 33D15 81T30 PDFBibTeX XMLCite \textit{S. Koshkin}, Int. J. Math. Math. Sci. 2008, Article ID 438648, 47 p. (2008; Zbl 1167.14037) Full Text: DOI arXiv EuDML
Zagier, Don; Zinger, Aleksey Some properties of hypergeometric series associated with mirror symmetry. (English) Zbl 1177.33027 Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 163-177 (2008). Reviewer: Valentina Golubeva (Moskva) MSC: 33C70 14J32 14N35 33C90 PDFBibTeX XMLCite \textit{D. Zagier} and \textit{A. Zinger}, Fields Inst. Commun. 54, 163--177 (2008; Zbl 1177.33027) Full Text: arXiv
Stienstra, Jan GKZ hypergeometric structures. (English) Zbl 1119.14003 Holzapfel, Rolf-Peter (ed.) et al., Arithmetic and geometry around hypergeometric functions. Lecture notes of a CIMPA summer school held at Galatasaray University, Istanbul, Turkey, June 13–25, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8283-4/hbk). Progress in Mathematics 260, 313-371 (2007). MSC: 14-02 33-02 33C70 14M25 14N35 14J32 PDFBibTeX XMLCite \textit{J. Stienstra}, Prog. Math. 260, 313--371 (2007; Zbl 1119.14003) Full Text: DOI arXiv
Altmann, Klaus (ed.); Batyrev, Victor (ed.); Teissier, Bernard (ed.) Report 5/2006: Convex and Algebraic Geometry (January 29th – February 4th, 2006). (English) Zbl 1110.14300 Oberwolfach Rep. 3, No. 1, 253-316 (2006). MSC: 14-06 52-06 00B05 14M25 52B20 14J32 14D06 14L30 14N35 33C70 14J45 16G20 PDFBibTeX XMLCite \textit{K. Altmann} (ed.) et al., Oberwolfach Rep. 3, No. 1, 253--316 (2006; Zbl 1110.14300) Full Text: DOI Link
Schechtman, Vadim On hypergeometric functions connected with quantum cohomology of flag spaces. (English) Zbl 0958.14039 Commun. Math. Phys. 208, No. 2, 355-379 (1999). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 14N35 33C70 81T70 14M15 PDFBibTeX XMLCite \textit{V. Schechtman}, Commun. Math. Phys. 208, No. 2, 355--379 (1999; Zbl 0958.14039) Full Text: DOI arXiv
Stienstra, Jan Resonant hypergeometric systems and mirror symmetry. (English) Zbl 0963.14017 Saito, M.-H. (ed.) et al., Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30-July 4, 1997, and in Kyoto, Japan, July 7-11 1997. Singapore: World Scientific. 412-452 (1998). MSC: 14J32 33C70 14D05 14M25 14N35 PDFBibTeX XMLCite \textit{J. Stienstra}, in: Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30--July 4, 1997, and in Kyoto, Japan, July 7--11 1997. Singapore: World Scientific. 412--452 (1998; Zbl 0963.14017) Full Text: arXiv