English

The infinitesimal index

Differential Geometry 2012-03-16 v4

Abstract

In this note, we study an invariant associated to 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

Cite

@article{arxiv.1003.3525,
  title  = {The infinitesimal index},
  author = {Corrado de Concini and Claudio Procesi and Michele Vergne},
  journal= {arXiv preprint arXiv:1003.3525},
  year   = {2012}
}

Comments

In this version, some misprints are corrected. An example have been changed of place

R2 v1 2026-06-21T14:59:18.406Z