Thom form in equivariant Cech-de Rham theory
Algebraic Topology
2017-06-13 v1
Abstract
In the present paper, we provide the foundation of a -equivariant Cech-de Rham theory for a compact Lie group by using the Cartan model of equivariant differential forms. Our approach is quite elementary without referring to the Mathai-Quillen framework. In particular, by a direct computation, we give an explicit formula of the -equivariant Thom form of C^l, which deforms the classical Bochnor-Martinelli kernel. Also we discuss a version of equivariant Riemann-Roch formula.
Keywords
Cite
@article{arxiv.1706.03238,
title = {Thom form in equivariant Cech-de Rham theory},
author = {Ko Fujisawa},
journal= {arXiv preprint arXiv:1706.03238},
year = {2017}
}
Comments
26pages, no figures