Index formula for Hamiltonian loop group spaces
Symplectic Geometry
2023-04-12 v2 Algebraic Geometry
K-Theory and Homology
Abstract
We study K-theory classes of Hamiltonian loop group spaces represented by admissible Fredholm complexes. We prove various equivariant index formulae in this context. In a sequel to this article we show that, when specialized to a family of non-local elliptic boundary value problems over the moduli space of framed flat connections on a surface, one obtains a gauge theory analogue of the Teleman-Woodward index formula.
Cite
@article{arxiv.2106.03813,
title = {Index formula for Hamiltonian loop group spaces},
author = {Yiannis Loizides},
journal= {arXiv preprint arXiv:2106.03813},
year = {2023}
}
Comments
40 pages. The previous version has been divided into two parts