Work

Index formula for Hamiltonian loop group spaces

Year: 2021
Type: paratext
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.
Language: English
Open Access status: green
OpenAlex ID: W4365211779
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