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Journal of Geometry and Physics, Vol. 25, No. 1-2. (23 Jan 1997), pp. 29-45, doi:10.1016/s0393-0440(97)00019-3 Key: citeulike:11561249
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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\ï and Quillen. However it contains a particularly simple and symmetric representative that we construct explicitly.
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