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Hochschild Cohomology and Twisted Complexes on Complex Manifolds

Yue Lin L. Tong·I-Hsun Tsai
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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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Yue Lin L. Tong, I-Hsun Tsai. 2004-07-13. Hochschild Cohomology and Twisted Complexes on Complex Manifolds. https://arxiv.org/abs/math/0407230

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