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

2022/07/27 by Liu, Henry · 1 citation
#14C35 #14N35 #19L47 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2207.13546

Abstract

We provide a general framework for wall-crossing of equivariant K-theoretic enumerative invariants of appropriate moduli stacks \mathfrakM, 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 \mathfrakM is an equivariant multiplicative vertex algebra.

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• Modules and generalizations of Joyce vertex algebras

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