A fixed point formula for loop group actions
Symplectic Geometry
2007-05-23 v1 Mathematical Physics
Algebraic Geometry
Differential Geometry
math.MP
Abstract
We express the index of the Dirac operator on symplectic quotients of a Hamiltonian loop group manifold with proper moment map in terms of fixed point data.
Cite
@article{arxiv.math/0005046,
title = {A fixed point formula for loop group actions},
author = {Anton Alekseev and Eckhard Meinrenken and Chris Woodward},
journal= {arXiv preprint arXiv:math/0005046},
year = {2007}
}
Comments
28 pages