May 21, 2024Open Access

Invariance of elliptic genus under wall-crossing

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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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Cite This Study

Henry Liu (Tue,) studied this question.

synapsesocial.com/papers/68e69359b6db643587619db8 https://doi.org/https://doi.org/10.48550/arxiv.2405.12587

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