Representatives of the Thom class of a vector bundle
arXiv:dg-ga/9701007 · doi:10.1016/S0393-0440(97)00019-3
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\"ı and Quillen. However it contains a particularly simple and symmetric representative that we construct explicitly.
19 pages, Latex, one reference and some related comments added; submitted to Journal of Geometry and Physics