Huai-Liang ChangHong Kong University of Science and TechnologyJun LiFudan University
mathscidoc:1908.01013
In previous work, the notion of Mixed-Spin-P(MSP) fields is introduced and their
moduli space is constructed together with a torus action.
By applying virtual localization to their virtual classes
moduli of MSP fields, polynomial relations among Gromov Witten(GW) and Fan-Jarvis-Ruan-Witten(FJRW) invariants of Fermat quintics are
derived. In this paper, we prove a vanishing of a class of torus-fixed loci.
This vanishing plays a key role in later proof that in Witten's gauged linear sigma model for Fermat quintics, the FJRW invariants
with insertions 2/5 determine the GW invariants of quintic Calabi-Yau threefolds through CY-LG phase transitions.
@inproceedings{huai-lianga,
title={A vanishing associated with irregular MSP fields},
author={Huai-Liang Chang, and Jun Li},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822220627313343457},
}
Huai-Liang Chang, and Jun Li. A vanishing associated with irregular MSP fields. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822220627313343457.