Superconnections and Bott-Chern valued Riemann-Roch-Grothendieck for complex orbifolds, I

Abstract

We use flat antiholomorphic superconnections to study orbifold Chern character following the method introduced by Bismut, Shen, and Wei on general complex orbifolds. We show the uniqueness of orbifold Chern character by proving a Riemann-Roch-Grothendieck theorem for orbifold embeddings.

arXiv comment57 pages. This is a major revision from Version 2