A vanishing associated with irregular MSP fields

2017/08/09 by Chang, Huai-Liang, Li, Jun
#14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.02902

Abstract

In previous work, Mixed-Spin-P field has been introduced and their moduli space \calW_g,γ,\bfd together with a ℂ^* action is constructed. Applying virtual localization to their virtual classes [\calW_g,γ,\bfd]^vir, polynomial relations among GW and FJRW invariants of Fermat quintics are derived. In this paper, we prove a vanishing of a class of terms in [(\calW_g,γ,\bfd)^{ℂ^*}]^vir. This vanishing verifies that in Witten's GLSM only r-spin invariants of insertions 2/5 contribute to the phase transition between GW and FJRW invariants of Fermat quintics.

Related

• Irregular vanishing on ℙ² × ℙ²
• Mixed-Spin-P fields of Fermat quintic polynomials
• Stability conditions in the mathematical Gauged Linear Sigma Model
• MSP theory for smooth Calabi-Yau threefolds in weighted ℙ⁴
• Virtual cycles of gauged Witten equation