Representatives of the Thom class of a vector bundle
dg-ga
2009-10-30 v2 High Energy Physics - Theory
Differential Geometry
Abstract
After a review of several methods designed to produce equivariant cohomology classes, we apply one introduced by Berline, Getzler and Vergne, to get a family of representatives of the universal Thom class of a vector bundle. Surprisingly, this family does not contain the representative given by Matha\"{\i} and Quillen. However it contains a particularly simple and symmetric representative that we construct explicitly.
Keywords
Cite
@article{arxiv.dg-ga/9701007,
title = {Representatives of the Thom class of a vector bundle},
author = {Michel Bauer and Frank Thuillier},
journal= {arXiv preprint arXiv:dg-ga/9701007},
year = {2009}
}
Comments
19 pages, Latex, one reference and some related comments added; submitted to Journal of Geometry and Physics