Representatives of the Thom class of a vector bundle

Details Representatives of the Thom class of a vector bundle Representatives of the Thom class of a vector bundle

1997-01-20

arxiv.org/abs/dg-ga/9701007v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, one reference and some related comments added; submitted to Journal of Geometry and Physics

Scientific paper

10.1016/S0393-0440(97)00019-3

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.

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