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arXiv · 1804.05213

Geometric K-homology and the Freed-Hopkins-Teleman theorem

Yiannis Loizides
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Abstract

We describe a map from the equivariant twisted K-homology of a compact, connected, simply connected Lie group $G$ to the Verlinde ring. Our map is described at the level of `D-cycles' for the geometric twisted K-homology of $G$, and is inverse to the Freed-Hopkins-Teleman isomorphism. As an application, we show that two possible definitions of the `quantization' of a Hamiltonian loop group space are compatible with each other.

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Yiannis Loizides. 2018-04-14. Geometric K-homology and the Freed-Hopkins-Teleman theorem. https://arxiv.org/abs/1804.05213

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