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Pré-Publication, Document De Travail Année : 2007

Equivariant relative Thom forms and Chern characters

Résumé

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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Dates et versions

hal-00191151 , version 1 (25-11-2007)
hal-00191151 , version 2 (10-12-2007)

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Paul-Emile Paradan, Michèle Vergne. Equivariant relative Thom forms and Chern characters. 2007. ⟨hal-00191151v2⟩
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