Gromov-Witten invariants of stable maps with fields

Details Gromov-Witten invariants of stable maps with fields Gromov-Witten invariants of stable maps with fields

2011-01-05

arxiv.org/abs/1101.0914v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

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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