Invariance of elliptic genus under wall-crossing
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914803932463104 |
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| author | Liu, Henry |
| author_facet | Liu, Henry |
| contents | Wall-crossing formulas for various flavors of elliptic genus can be obtained using master spaces. We give a topological criterion which implies that such wall-crossing formulas are trivial. Applications are given for: GIT quotients, following Thaddeus; moduli of sheaves, following Mochizuki; Donaldson-Thomas and Vafa-Witten theory, following Joyce and Tanaka-Thomas respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12587 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariance of elliptic genus under wall-crossing Liu, Henry Algebraic Geometry Wall-crossing formulas for various flavors of elliptic genus can be obtained using master spaces. We give a topological criterion which implies that such wall-crossing formulas are trivial. Applications are given for: GIT quotients, following Thaddeus; moduli of sheaves, following Mochizuki; Donaldson-Thomas and Vafa-Witten theory, following Joyce and Tanaka-Thomas respectively. |
| title | Invariance of elliptic genus under wall-crossing |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.12587 |