911 citations
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Showing 2007 · math.DGShow all
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math.DG2007★ 12 cited
Equivariant relative Thom forms and Chern characters
Paul-Emile Paradan, Michèle Vergne
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,…
math.DG2007★ 2 cited
Modular classes of Lie algebroid morphisms
Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux, Alan Weinstein
We study the behavior of the modular class of a Lie algebroid under general Lie algebroid morphisms by introducing the relative modular class. We investigate the modular classes of…
math.DG2007
Quillen's relative Chern character is multiplicative
Paul-Emile Paradan, Michèle Vergne
In the 80's, Quillen constructed a de Rham relative cohomology class associated to a smooth morphism between vector bundles, that we call the relative Quillen Chern character. In t…