Abstract

After a review of several methods designed to produce equivariant cohomology classes, we apply one introduced by Berline et al. (1992) 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 Mathaï and Quillen (1986). However, it contains the particularly simple and symmetric representative of Harvey and Lawson (1993).

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