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Higgs-Coulomb correspondence and Wall-Crossing in abelian GLSMs

We compute I-functions and central charges for abelian GLSMs using virtual matrix factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for the central charges by explicit integral formulas. The integrals in question are called hemisphere partition functions and we call the integral representation Higgs-Coulomb correspondence. We then use it to prove GIT stability wall-crossing for central charges.

preprint2023arXivOpen access
Konstantin AleshkinChiu-Chu Melissa Liu
math.AG
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Konstantin AleshkinChiu-Chu Melissa Liu

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