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- W1640234044 abstract "We 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." @default.
- W1640234044 created "2016-06-24" @default.
- W1640234044 creator A5024496500 @default.
- W1640234044 date "2004-05-10" @default.
- W1640234044 modified "2023-09-23" @default.
- W1640234044 title "Hochschild Cohomology versus De Rham Cohomology without Formality Theorems" @default.
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