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arXiv · 2405.12587

Invariance of elliptic genus under wall-crossing

Henry Liu
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Abstract

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.

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Henry Liu. 2024-05-21. Invariance of elliptic genus under wall-crossing. https://arxiv.org/abs/2405.12587

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