Quillen's relative Chern character is multiplicative
Differential Geometry
2008-09-26 v3 K-Theory and Homology
Abstract
In the 80's, Quillen constructed a de Rham relative cohomology class associated to a smooth morphism between vector bundles, that we call the relative Quillen Chern character. In the first part of this paper we prove the multiplicativ property of the relative Quillen Chern character. Then we obtain a Riemann-Roch formula between the relative Chern character of the Bott morphism and the relative Thom form.
Keywords
Cite
@article{arxiv.math/0702575,
title = {Quillen's relative Chern character is multiplicative},
author = {Paul-Emile Paradan and Michèle Vergne},
journal= {arXiv preprint arXiv:math/0702575},
year = {2008}
}
Comments
28 pages. This article will appear in the proceedings of the conference "Algebraic Analysis and Around" in honour of Professor Masaki Kashiwara's 60's birthday