Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908425573629952 |
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| author | Liu, Henry |
| author_facet | Liu, Henry |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_13546 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories Liu, Henry Algebraic Geometry K-Theory and Homology 14N35, 14C35, 19L47 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. |
| title | Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories |
| topic | Algebraic Geometry K-Theory and Homology 14N35, 14C35, 19L47 |
| url | https://arxiv.org/abs/2207.13546 |