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arXiv · dg-ga/9701007

Representatives of the Thom class of a vector bundle

Michel Bauer·Frank Thuillier
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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.

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BibTeXRIS

Michel Bauer, Frank Thuillier. 1997-01-23. Representatives of the Thom class of a vector bundle. https://doi.org/10.1016/s0393-0440(97)00019-3

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