Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology

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dc.creatorDolgushev, Vasiliy
dc.creatorEtingof, Pavel
dc.date2004-10-26
dc.date2004-12-07
dc.date.accessioned2026-07-07T05:13:43Z
dc.date.available2026-07-07T05:13:43Z
dc.descriptionWe prove the additive version of the conjecture proposed by Ginzburg and Kaledin. This conjecture states that if X/G is an orbifold modeled on a quotient of a smooth affine symplectic variety X (over C) by a finite group G\subset Aut(X) and A is a G-stable quantum algebra of functions on X then the graded vector space HH(A^G) of the Hochschild cohomology of the algebra A^G of invariants is isomorphic to the graded vector space H_{CR}(X/G)((h)) of the Chen-Ruan (stringy) cohomology of the orbifold X/G.
dc.description25 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0410562
dc.identifierhttp://arxiv.org/abs/math/0410562
dc.identifierInt. Math. Res. Not. 2005, no. 27, 1657-1688.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73013
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectK-Theory and Homology
dc.subject16E40, 53D55
dc.titleHochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology
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