The Atiyah-Bott Lefschetz Formula Applied to the Based Loops on SU(2)
Representation Theory
2020-10-05 v3 Symplectic Geometry
Abstract
The Atiyah-Bott Lefschetz Formula is a well-known formula for computing the equivariant index of an elliptic operator on a compact smooth manifold. We provide an analogue of this formula for the based loop group with respect to the natural -action. From this result we also derive an effective formula for computing characters of certain Demazure modules.
Cite
@article{arxiv.2008.06752,
title = {The Atiyah-Bott Lefschetz Formula Applied to the Based Loops on SU(2)},
author = {Jack Ding},
journal= {arXiv preprint arXiv:2008.06752},
year = {2020}
}
Comments
Revised version based on referee's recommendations