Hochschild Cohomology versus De Rham Cohomology without Formality Theorems

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dc.creatorDolgushev, Vasiliy
dc.date2004-05-10
dc.date2004-05-23
dc.date.accessioned2026-07-07T05:08:06Z
dc.date.available2026-07-07T05:08:06Z
dc.descriptionWe exploit the Fedosov-Weinstein-Xu (FWX) resolution proposed in q-alg/9709043 to establish an isomorphism between the ring of Hochschild cohomology of the quantum algebra of functions on a symplectic manifold M and the ring H(M, C((h))) of De Rham cohomology of M with the coefficient field C((h)) without making use of any version of the formality theorem. We also show that the Gerstenhaber bracket induced on H(M,C((h))) via the isomorphism is vanishing. We discuss equivariant properties of the isomorphism and propose an analogue of this statement in an algebraic geometric setting.
dc.description23 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0405177
dc.identifierhttp://arxiv.org/abs/math/0405177
dc.identifierInt. Math. Res. Not. 2005, no. 21, 1277-1305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71125
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleHochschild Cohomology versus De Rham Cohomology without Formality Theorems
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