The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
Algebraic Geometry
2014-02-26 v3
Abstract
We develop a formalism involving Atiyah classes of sheaves on a smooth manifold, Hochschild chain and cochain complexes. As an application we prove a version of the Riemann--Roch theorem.
Cite
@article{arxiv.math/0610553,
title = {The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem},
author = {Nikita Markarian},
journal= {arXiv preprint arXiv:math/0610553},
year = {2014}
}
Comments
16 pages; added references, corrected typos and removed irrelevant passages