The flat Grothendieck-Riemann-Roch theorem without adiabatic techniques
Differential Geometry
2016-07-06 v6 K-Theory and Homology
Abstract
In this paper we give a simplified proof of the flat Grothendieck-Riemann-Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern-Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.
Keywords
Cite
@article{arxiv.1203.3250,
title = {The flat Grothendieck-Riemann-Roch theorem without adiabatic techniques},
author = {Man-Ho Ho},
journal= {arXiv preprint arXiv:1203.3250},
year = {2016}
}
Comments
21 pages. Comments are welcome. Final version. To appear in Journal of Geometry and Physics