The infinitesimal index
Corrado de Concini, Claudio Procesi, Michele Vergne
TL;DR
This paper introduces the infinitesimal index, an invariant related to the zeros of the moment map, to analyze equivariant cohomology and multiplicity indices of transversally elliptic operators.
Contribution
It defines and explores the infinitesimal index, providing new tools for studying equivariant cohomology and transversally elliptic operators.
Findings
Defines the infinitesimal index as an invariant.
Provides formulas for the multiplicity index map.
Connects the invariant to equivariant cohomology.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.