Equivariant relative Thom forms and Chern characters

Details Equivariant relative Thom forms and Chern characters Equivariant relative Thom forms and Chern characters

2007-11-25

arxiv.org/abs/0711.3898v2

Mathematics

Differential Geometry

60 pages, some misprints corrected

Scientific paper

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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