Index of transversally elliptic operators
Paul-Emile Paradan (I3M), Mich\`ele Vergne (CMLS-EcolePolytechnique,, IMJ)

TL;DR
This paper introduces a novel approach to computing the index of transversally elliptic operators using equivariant Chern characters with generalized coefficients and compact support, building on previous work by the authors.
Contribution
It presents a new perspective on cohomological formulas for the index, utilizing advanced equivariant Chern characters with generalized coefficients.
Findings
New cohomological formula for transversally elliptic operators
Use of equivariant Chern characters with generalized coefficients
Extension of previous work on equivariant cohomology
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).
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models
