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arXiv · 2207.13546

Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories

Henry Liu
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Abstract

We provide a general framework for wall-crossing of equivariant K-theoretic enumerative invariants of appropriate moduli stacks $\mathfrak{M}$, by lifting Joyce's homological universal wall-crossing arXiv:2111.04694 to K-theory and to include equivariance. The primary new tool is that the operational K-homology of $\mathfrak{M}$ is an equivariant multiplicative vertex algebra.

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Henry Liu. 2022-07-27. Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories. https://arxiv.org/abs/2207.13546

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