A vanishing associated with irregular MSP fields

Huai-Liang Chang Hong Kong University of Science and Technology Jun Li Fudan University


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.
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  title={A vanishing associated with irregular MSP fields},
  author={Huai-Liang Chang, and Jun Li},
Huai-Liang Chang, and Jun Li. A vanishing associated with irregular MSP fields. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822220627313343457.
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