Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula
Abstract
After reviewing how the Borel-Weil-Bott theorem can be interpreted as an index theorem, we present a proof using Kostant's cubic Dirac operator and the equivariant McKean-Singer formula.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2014
- DOI:
- 10.48550/arXiv.1412.3879
- arXiv:
- arXiv:1412.3879
- Bibcode:
- 2014arXiv1412.3879H
- Keywords:
-
- Mathematics - Representation Theory;
- Primary 19K56;
- 58J35;
- 43A77;
- Secondary 43A85;
- 22E45;
- 58A14