Hochschild Cohomology and Twisted Complexes on Complex Manifolds
Yue Lin L. Tong, I-Hsun Tsai
Abstract
We use the theory of twisted resolutions and twisted complexes to give a proof of Kontsevich's claim that Yoneda product corresponds to cup product in a canonical isomorphism from the Ext groups of the product space with coefficients in the diagonal sheaf to the cohomology with coefficients in exterior powers of the tangent sheaf.
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