Gromov-Witten invariants of stable maps with fields

2011/01/05 by Chang, Huai-liang, Li, Jun · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1101.0914

Abstract

We construct the Gromov-Witten invariants of moduli of stable morphisms to \Pf with fields. This is the all genus mathematical theory of the Guffin-Sharpe-Witten model, and is a modified twisted Gromov-Witten invariants of \Pf. These invariants are constructed using the cosection localization of Kiem-Li, an algebro-geometric analogue of Witten's perturbed equations in Landau-Ginzburg theory. We prove that these invariants coincide, up to sign, with the Gromov-Witten invariants of quintics.

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