Dolgushev, Vasily A.; Rogers, Christopher L. The cohomology of the full directed graph complex. (English) Zbl 07210933 Algebr. Represent. Theory 23, No. 3, 917-961 (2020). MSC: 53D55 53D17 57Q45 18M60 05C10 05E15 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{C. L. Rogers}, Algebr. Represent. Theory 23, No. 3, 917--961 (2020; Zbl 07210933) Full Text: DOI
Altinay-Ozaslan, Elif; Dolgushev, Vasily Towards deformation quantization over a \(\mathbb Z\)-graded base. (English) Zbl 1418.53090 J. Noncommut. Geom. 13, No. 1, 227-256 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 53D55 18G55 PDF BibTeX XML Cite \textit{E. Altinay-Ozaslan} and \textit{V. Dolgushev}, J. Noncommut. Geom. 13, No. 1, 227--256 (2019; Zbl 1418.53090) Full Text: DOI
Dolgushev, Vasily A.; Schneider, Geoffrey E. When can a formality quasi-isomorphism over \(\mathbb{Q}\) be constructed recursively? (English) Zbl 1428.18032 J. Pure Appl. Algebra 223, No. 5, 2145-2172 (2019). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18M60 18G35 18N40 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{G. E. Schneider}, J. Pure Appl. Algebra 223, No. 5, 2145--2172 (2019; Zbl 1428.18032) Full Text: DOI
Dolgushev, Vasily A formality quasi-isomorphism for Hochschild cochains over rationals can be constructed recursively. (English) Zbl 1409.53073 Int. Math. Res. Not. 2018, No. 18, 5729-5785 (2018). MSC: 53D55 18D50 PDF BibTeX XML Cite \textit{V. Dolgushev}, Int. Math. Res. Not. 2018, No. 18, 5729--5785 (2018; Zbl 1409.53073) Full Text: DOI arXiv
Dolgushev, Vasily A.; Rogers, Christopher L. On an enhancement of the category of shifted \(L_\infty\)-algebras. (English) Zbl 1387.18017 Appl. Categ. Struct. 25, No. 4, 489-503 (2017). Reviewer: Paolo Saracco (Bruxelles) MSC: 18D20 16T15 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{C. L. Rogers}, Appl. Categ. Struct. 25, No. 4, 489--503 (2017; Zbl 1387.18017) Full Text: DOI
Dolgushev, Vasily; Willwacher, Thomas A direct computation of the cohomology of the braces operad. (English) Zbl 1390.18022 Forum Math. 29, No. 2, 465-488 (2017). Reviewer: Jiří Rosický (Brno) MSC: 18D50 55P10 PDF BibTeX XML Cite \textit{V. Dolgushev} and \textit{T. Willwacher}, Forum Math. 29, No. 2, 465--488 (2017; Zbl 1390.18022) Full Text: DOI
Dolgushev, Vasily; Paljug, Brian Tamarkin’s construction is equivariant with respect to the action of the Grothendieck-Teichmueller group. (English) Zbl 1417.17022 J. Homotopy Relat. Struct. 11, No. 3, 503-552 (2016). MSC: 17B55 16E40 18D50 53D55 PDF BibTeX XML Cite \textit{V. Dolgushev} and \textit{B. Paljug}, J. Homotopy Relat. Struct. 11, No. 3, 503--552 (2016; Zbl 1417.17022) Full Text: DOI arXiv
Dolgushev, Vasily A.; Hoffnung, Alexander E.; Rogers, Christopher L. What do homotopy algebras form? (English) Zbl 1375.18053 Adv. Math. 274, 562-605 (2015). MSC: 18D50 18D10 17B55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Adv. Math. 274, 562--605 (2015; Zbl 1375.18053) Full Text: DOI arXiv
Dolgushev, V. A.; Rogers, C. L.; Willwacher, T. H. Kontsevich’s graph complex, GRT, and the deformation complex of the sheaf of polyvector fields. (English) Zbl 1329.14093 Ann. Math. (2) 182, No. 3, 855-943 (2015). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14L30 18D50 17B05 17B35 17B55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Ann. Math. (2) 182, No. 3, 855--943 (2015; Zbl 1329.14093) Full Text: DOI
Dolgushev, Vasily A.; Rogers, Christopher L. A version of the Goldman-Millson theorem for filtered \(L_\infty\)-algebras. (English) Zbl 1327.17019 J. Algebra 430, 260-302 (2015). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B55 55U10 18G50 18G55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{C. L. Rogers}, J. Algebra 430, 260--302 (2015; Zbl 1327.17019) Full Text: DOI arXiv
Dolgushev, Vasily; Willwacher, Thomas Operadic twisting – with an application to Deligne’s conjecture. (English) Zbl 1305.18032 J. Pure Appl. Algebra 219, No. 5, 1349-1428 (2015). MSC: 18D50 18D35 PDF BibTeX XML Cite \textit{V. Dolgushev} and \textit{T. Willwacher}, J. Pure Appl. Algebra 219, No. 5, 1349--1428 (2015; Zbl 1305.18032) Full Text: DOI arXiv
Dolgushev, Vasily; Willwacher, Thomas The deformation complex is a homotopy invariant of a homotopy algebra. (English) Zbl 1318.18004 Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Algebraic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09803-6/hbk; 978-3-319-09804-3/ebook). Developments in Mathematics 38, 137-158 (2014). Reviewer: Donald Yau (Newark) MSC: 18D50 PDF BibTeX XML Cite \textit{V. Dolgushev} and \textit{T. Willwacher}, Dev. Math. 38, 137--158 (2014; Zbl 1318.18004) Full Text: DOI arXiv
Dolgushev, Vasily A. Exhausting formal quantization procedures. (English) Zbl 1263.53085 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 53-62 (2013). MSC: 53D55 19D55 PDF BibTeX XML Cite \textit{V. A. Dolgushev}, in: Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 -- July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser. 53--62 (2013; Zbl 1263.53085) Full Text: DOI arXiv
Dolgushev, Vasily A.; Rogers, Christopher L. Notes on algebraic operads, graph complexes, and Willwacher’s construction. (English) Zbl 1327.18017 Evens, Sam (ed.) et al., Mathematical aspects of quantization. Center of Mathematics at Notre Dame. Summer school and conference, Notre Dame University, Notre Dame, IN, USA, May 31–June 10, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7573-5/pbk). Contemporary Mathematics 583, 25-145 (2012). MSC: 18D50 18G55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{C. L. Rogers}, Contemp. Math. 583, 25--145 (2012; Zbl 1327.18017) Full Text: DOI arXiv
Bursztyn, H.; Dolgushev, V.; Waldmann, S. Morita equivalence and characteristic classes of star products. (English) Zbl 1237.53080 J. Reine Angew. Math. 662, 95-163 (2012). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 PDF BibTeX XML Cite \textit{H. Bursztyn} et al., J. Reine Angew. Math. 662, 95--163 (2012; Zbl 1237.53080) Full Text: DOI arXiv
Dolgushev, Vasily Formality theorem for Hochschild cochains via transfer. (English) Zbl 1241.18007 Lett. Math. Phys. 97, No. 2, 109-149 (2011). Reviewer: Julie Bergner (Riverside) MSC: 18D50 18G55 55U35 PDF BibTeX XML Cite \textit{V. Dolgushev}, Lett. Math. Phys. 97, No. 2, 109--149 (2011; Zbl 1241.18007) Full Text: DOI arXiv
Dolgushev, V. A.; Tamarkin, D. E.; Tsygan, B. L. Proof of swiss cheese version of Deligne’s conjecture. (English) Zbl 1250.55005 Int. Math. Res. Not. 2011, No. 20, 4666-4746 (2011). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 55P48 16E40 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Int. Math. Res. Not. 2011, No. 20, 4666--4746 (2011; Zbl 1250.55005) Full Text: DOI arXiv
Dolgushev, V. A.; Tamarkin, D. E.; Tsygan, B. L. Noncommutative calculus and the Gauss-Manin connection. (English) Zbl 1247.18005 Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 139-158 (2011). Reviewer: Bjørn Dundas (Bergen) MSC: 18D50 19D55 18G55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Prog. Math. 287, 139--158 (2011; Zbl 1247.18005)
Dolgushev, Vasiliy; Tamarkin, Dmitry; Tsygan, Boris Formality theorems for Hochschild complexes and their applications. (English) Zbl 1193.19002 Lett. Math. Phys. 90, No. 1-3, 103-136 (2009). Reviewer: Frederic Rochon (Toronto) MSC: 19D55 53D55 PDF BibTeX XML Cite \textit{V. Dolgushev} et al., Lett. Math. Phys. 90, No. 1--3, 103--136 (2009; Zbl 1193.19002) Full Text: DOI arXiv
Dolgushev, V. A.; Rubtsov, V. N. An algebraic index theorem for Poisson manifolds. (English) Zbl 1181.53072 J. Reine Angew. Math. 633, 77-113 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{V. N. Rubtsov}, J. Reine Angew. Math. 633, 77--113 (2009; Zbl 1181.53072) Full Text: DOI arXiv
Dolgushev, Vasiliy The Van den Bergh duality and the modular symmetry of a Poisson variety. (English) Zbl 1172.53054 Sel. Math., New Ser. 14, No. 2, 199-228 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 PDF BibTeX XML Cite \textit{V. Dolgushev}, Sel. Math., New Ser. 14, No. 2, 199--228 (2009; Zbl 1172.53054) Full Text: DOI arXiv
Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. (English) Zbl 1144.18007 J. Noncommut. Geom. 1, No. 1, 1-25 (2007). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D50 16E40 16E45 58B99 53D55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., J. Noncommut. Geom. 1, No. 1, 1--25 (2007; Zbl 1144.18007) Full Text: DOI Link arXiv
Calaque, Damien; Dolgushev, Vasiliy; Halbout, Gilles Formality theorems for Hochschild chains in the Lie algebroid setting. (English) Zbl 1141.53084 J. Reine Angew. Math. 612, 81-127 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 16E40 16E45 17B56 PDF BibTeX XML Cite \textit{D. Calaque} et al., J. Reine Angew. Math. 612, 81--127 (2007; Zbl 1141.53084) Full Text: DOI arXiv
Dolgushev, Vasiliy Formality theorem for Hochschild (co)chains of the algebra of endomorphism of a vector bundle. (English) Zbl 1158.53340 Math. Res. Lett. 14, No. 5-6, 757-767 (2007). MSC: 53D55 53D17 16E40 16E45 17B56 PDF BibTeX XML Cite \textit{V. Dolgushev}, Math. Res. Lett. 14, No. 5--6, 757--767 (2007; Zbl 1158.53340) Full Text: DOI arXiv
Dolgushev, Vasiliy A formality theorem for Hochschild chains. (English) Zbl 1106.53054 Adv. Math. 200, No. 1, 51-101 (2006). Reviewer: Angela Gammella (Creil) MSC: 53D17 53C15 53D55 PDF BibTeX XML Cite \textit{V. Dolgushev}, Adv. Math. 200, No. 1, 51--101 (2006; Zbl 1106.53054) Full Text: DOI
Chen, Poning; Dolgushev, Vasiliy A simple algebraic proof of the algebraic index theorem. (English) Zbl 1155.53338 Math. Res. Lett. 12, No. 5-6, 655-671 (2005). MSC: 53D55 19A49 58J22 19E20 PDF BibTeX XML Cite \textit{P. Chen} and \textit{V. Dolgushev}, Math. Res. Lett. 12, No. 5--6, 655--671 (2005; Zbl 1155.53338) Full Text: DOI
Dolgushev, Vasiliy; Etingof, Pavel Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology. (English) Zbl 1088.53061 Int. Math. Res. Not. 2005, No. 27, 1657-1688 (2005). Reviewer: Christian Günther (Libby) MSC: 53D55 19D55 PDF BibTeX XML Cite \textit{V. Dolgushev} and \textit{P. Etingof}, Int. Math. Res. Not. 2005, No. 27, 1657--1688 (2005; Zbl 1088.53061) Full Text: DOI
Dolgushev, V. A. Hochschild cohomology versus de Rham cohomology without formality theorems. (English) Zbl 1095.17006 Int. Math. Res. Not. 2005, No. 21, 1277-1305 (2005). Reviewer: Angela Gammella (Creil) MSC: 17B37 53C07 17B56 PDF BibTeX XML Cite \textit{V. A. Dolgushev}, Int. Math. Res. Not. 2005, No. 21, 1277--1305 (2005; Zbl 1095.17006) Full Text: DOI
Dolgushev, Vasiliy Covariant and equivariant formality theorems. (English) Zbl 1116.53065 Adv. Math. 191, No. 1, 147-177 (2005). MSC: 53D55 17B55 18G55 PDF BibTeX XML Cite \textit{V. Dolgushev}, Adv. Math. 191, No. 1, 147--177 (2005; Zbl 1116.53065) Full Text: DOI
Braden, H. W.; Dolgushev, V. A.; Olshanetsky, M. A.; Zotov, A. V. Classical \(r\)-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions. (English) Zbl 1046.81077 J. Phys. A, Math. Gen. 36, No. 25, 6979-7000 (2003). MSC: 81T13 81R12 17B99 35J35 81R10 PDF BibTeX XML Cite \textit{H. W. Braden} et al., J. Phys. A, Math. Gen. 36, No. 25, 6979--7000 (2003; Zbl 1046.81077) Full Text: DOI arXiv
Dolgushev, V. A. R-matrix structure of Hitchin system in Tyurin parameterization. (English) Zbl 1041.14015 Commun. Math. Phys. 238, No. 1-2, 131-147 (2003). Reviewer: Domenico Fiorenza (Roma) MSC: 14H81 14J81 14H60 14H70 81R50 17B37 PDF BibTeX XML Cite \textit{V. A. Dolgushev}, Commun. Math. Phys. 238, No. 1--2, 131--147 (2003; Zbl 1041.14015) Full Text: DOI arXiv
Dolgushev, V. A.; Isaev, A. P.; Lyakovich, S. L.; Sharapov, A. A. Quantization of triangular Lie bialgebras. (English) Zbl 1064.17006 Czech. J. Phys. 52, No. 11, 1195-1200 (2002). MSC: 17B37 17B62 53D55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Czech. J. Phys. 52, No. 11, 1195--1200 (2002; Zbl 1064.17006) Full Text: DOI
Dolgushev, V. A.; Isaev, A. P.; Lyakhovich, S. L.; Sharapov, A. A. On the Fedosov deformation quantization beyond the regular Poisson manifolds. (English) Zbl 0999.53056 Nucl. Phys., B 645, No. 3, 457-476 (2002). MSC: 53D55 81S10 81Q50 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Nucl. Phys., B 645, No. 3, 457--476 (2002; Zbl 0999.53056) Full Text: DOI arXiv
Dolgushev, V. A. Sklyanin bracket and deformation of the Calogero–Moser system. (English) Zbl 1138.37327 Mod. Phys. Lett. A 16, No. 26, 1711-1725 (2001). MSC: 37K10 37J05 53D55 PDF BibTeX XML Cite \textit{V. A. Dolgushev}, Mod. Phys. Lett. A 16, No. 26, 1711--1725 (2001; Zbl 1138.37327) Full Text: DOI arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick type symbols and deformed algebra of exterior forms. (English) Zbl 1161.53365 Semikhatov, A. M. (ed.) et al., Quantization, gauge theory, and strings. Vol. II. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5–10, 2000. Moscow: Scientific World (ISBN 5-89176-125-4). 19-26 (2001). MSC: 53D55 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., in: Quantization, gauge theory, and strings. Vol. II. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5--10, 2000. Moscow: Scientific World. 19--26 (2001; Zbl 1161.53365) Full Text: arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick quantisation of a symplectic manifold. (English) Zbl 1006.53074 Nucl. Phys., B, Proc. Suppl. 102-103, 144-149 (2001). MSC: 53D50 81S10 53D05 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Nucl. Phys., B, Proc. Suppl. 102--103, 144--149 (2001; Zbl 1006.53074) Full Text: DOI arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick type deformation quantization of Fedosov manifolds. (English) Zbl 0969.81635 Nucl. Phys., B 606, No. 3, 647-672 (2001). MSC: 81T70 PDF BibTeX XML Cite \textit{V. A. Dolgushev} et al., Nucl. Phys., B 606, No. 3, 647--672 (2001; Zbl 0969.81635) Full Text: DOI arXiv