paper

Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles II

arXiv:2310.06616

Abstract

In this paper, we prove the real part of the Riemann-Roch-Grothendieck theorem for complex flat vector bundles at the differential form level.

A largely rewritten version, with mistakes corrected and proof simplified. 17 pages. Submitted for publication. Comments are very welcome