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The infinitesimal index

Published online by Cambridge University Press:  18 May 2012

C. De Concini ,
C. Procesi  and
M. Vergne
C. De Concini
Affiliation:
Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro 5, 00185 Roma, Italia
C. Procesi
Affiliation:
Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro 5, 00185 Roma, Italia
M. Vergne
Affiliation:
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013 Paris, France (vergne@math.jussieu.fr)
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Abstract

In this note, we study an invariant associated with the zeros of the moment map generated by an action form, the infinitesimal index. This construction will be used to study the compactly supported equivariant cohomology of the zeros of the moment map and to give formulas for the multiplicity index map of a transversally elliptic operator.

Keywords

index theoryequivariant cohomology
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 2 , April 2013 , pp. 297 - 334
Copyright
©Cambridge University Press 2012

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