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. 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 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, 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 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
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
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. 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