English

Hochschild Cohomology and Twisted Complexes on Complex Manifolds

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0407230,
  title  = {Hochschild Cohomology and Twisted Complexes on Complex Manifolds},
  author = {Yue Lin L. Tong and I-Hsun Tsai},
  journal= {arXiv preprint arXiv:math/0407230},
  year   = {2007}
}

Comments

amslatex, uses amsmath,amsfonts,amsthm,amscd,eucal

R2 v1 2026-07-22T17:07:45.784Z