Index of transversally elliptic operators

Paul-Emile Paradan; Michèle Vergne

hal-00271113, version 1

Index of transversally elliptic operators

Paul-Emile Paradan () ¹, Michèle Vergne () ^2, 3

Asterisque From Probability to Geometry (II). Volume in honor of the 60th birthday of Jean-Michel Bismut, 328 (2009) 297-338

Abstract: In 1996, Berline and Vergne gave a cohomological formula for the index of a transversally elliptic operator. In this paper we propose a new point of view where the cohomological formulae make use of equivariant Chern characters with generalized coefficients and with compact suppport. This kind of Chern characters was studied by the authors in a previous paper (see arXiv:0801.2822).

1: Institut de Mathématiques et de Modélisation de Montpellier (I3M)
CNRS : UMR5149 – Université Montpellier II - Sciences et techniques
2: Centre de Mathématiques Laurent Schwartz (CMLS-EcolePolytechnique)
CNRS : UMR7640 – Polytechnique - X
3: Institut de Mathématiques de Jussieu (IMJ)
CNRS : UMR7586 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot

hal-00271113, version 1
http://hal.archives-ouvertes.fr/hal-00271113
oai:hal.archives-ouvertes.fr:hal-00271113
From: Paul-Emile Paradan <>
Submitted on: Tuesday, 8 April 2008 11:40:19
Updated on: Saturday, 12 January 2013 15:22:19

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