Higher-genus wall-crossing in Landau-Ginzburg theory
Algebraic Geometry
2019-04-25 v3
Abstract
For a Fermat quasi-homogeneous polynomial, we study the associated weighted Fan-Jarvis-Ruan-Witten theory with narrow insertions. We prove a wall-crossing formula in all genera via localization on a master space, which is constructed by introducing an additional tangent vector to the moduli problem. This is a Landau-Ginzburg theory analogue of the higher-genus quasi-map wall-crossing formula proved by Ciocan-Fontanine and Kim. It generalizes the genus- result by Ross-Ruan and the genus- result by Guo-Ross.
Keywords
Cite
@article{arxiv.1706.05109,
title = {Higher-genus wall-crossing in Landau-Ginzburg theory},
author = {Yang Zhou},
journal= {arXiv preprint arXiv:1706.05109},
year = {2019}
}
Comments
Two errors are fixed. The theorems listed in the introduction are not changed. 1. In Lemma 16, there should not be a truncation for the series mu. 2. The formula for mu in Remark 8 is corrected