Invariance of elliptic genus under wall-crossing
Algebraic Geometry
2024-05-22 v1
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.
Keywords
Cite
@article{arxiv.2405.12587,
title = {Invariance of elliptic genus under wall-crossing},
author = {Henry Liu},
journal= {arXiv preprint arXiv:2405.12587},
year = {2024}
}
Comments
32 pages