Hochschild Cohomology and Twisted Complexes on Complex Manifolds

Details Hochschild Cohomology and Twisted Complexes on Complex Manifolds Hochschild Cohomology and Twisted Complexes on Complex Manifolds

2004-07-13

arxiv.org/abs/math/0407230v1

Mathematics

Algebraic Geometry

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Scientific paper

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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