论文标题

在阿贝尔类别中

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

论文作者

Liu, Henry

论文摘要

我们通过将乔伊斯(Joyce)的同源通用墙壁交叉ARXIV提升:2111.04694将合适的模量堆栈的墙壁隔离为墙壁的墙面框架。主要的新工具是$ \ mathfrak {m} $的操作K-词素是一个模棱两可的乘数顶点代数。

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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