Coherent sheaves, superconnections, and RRG
Algebraic Geometry
2023-11-21 v2 Analysis of PDEs
Complex Variables
Differential Geometry
Abstract
Given a compact complex manifold, the purpose of this paper is to construct the Chern character for coherent sheaves with values in Bott-Chern cohomology, and to prove a corresponding Riemann-Roch-Grothendieck formula. Our paper is based on a fundamental construction of Block.
Keywords
Cite
@article{arxiv.2102.08129,
title = {Coherent sheaves, superconnections, and RRG},
author = {Jean-Michel Bismut and Shu Shen and Zhaoting Wei},
journal= {arXiv preprint arXiv:2102.08129},
year = {2023}
}
Comments
161 pages, 1 figure. In version 2, references to earlier work have been added