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arXiv · 0711.3898

Equivariant relative Thom forms and Chern characters

Paul-Emile Paradan·Michèle Vergne
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Abstract

These notes are the first chapter of a monograph, dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators. In this preliminary chapter, we prove a certain number of natural relations in equivariant cohomology. These relations include the Thom isomorphism in equivariant cohomology, the multiplicativity of the relative Chern characters, and the Riemann-Roch relation between the relative Chern character of the Bott symbol and of the relative Thom class.

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Paul-Emile Paradan, Michèle Vergne. 2007-12-10. Equivariant relative Thom forms and Chern characters. https://arxiv.org/abs/0711.3898

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