Localization of Equivariant Cohomology - Introductory and Expository Remarks
A.A. Bytsenko, F.L. Williams
TL;DR
This paper introduces the Berline-Vergne localization formula, explaining how it simplifies the computation of integrals in equivariant cohomology by summing contributions from zeros of a related vector field.
Contribution
It provides an accessible, introductory exposition of the localization formula, clarifying its mathematical foundation and applications in equivariant cohomology.
Findings
Clarifies the derivation of the localization formula
Demonstrates the formula's application to specific examples
Highlights the significance of zeros of vector fields in cohomology
Abstract
We present a brief introduction to the Berline-Vergne localization formula which expresses the integral of an equivariant cohomology class as a sum over zeros of a vector field to which that class is related.
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.