Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula
Representation Theory
2014-12-15 v1
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.
Keywords
Cite
@article{arxiv.1412.3879,
title = {Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula},
author = {Seunghun Hong},
journal= {arXiv preprint arXiv:1412.3879},
year = {2014}
}