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arXiv · 2106.03813

Index formula for Hamiltonian loop group spaces

Yiannis Loizides
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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.

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Yiannis Loizides. 2021-06-07. Index formula for Hamiltonian loop group spaces. https://arxiv.org/abs/2106.03813

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