Equivariant Chern character for coherent sheaves and Riemann-Roch-Grothendieck

Abstract

In this paper, we develope an equivariant theory of Chern characters for coherent sheaves on compact complex manifolds with finite group actions, taking values in Bott-Chern cohomology classes. Furthermore, we establish the corresponding Riemann-Roch-Grothendieck theorem in this context.

arXiv admin note: text overlap with arXiv:2102.08129 by other authors