English

Gromov-Witten invariants of stable maps with fields

Algebraic Geometry 2011-01-06 v1

Abstract

We construct the Gromov-Witten invariants of moduli of stable morphisms to \Pf\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\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.

Keywords

Cite

@article{arxiv.1101.0914,
  title  = {Gromov-Witten invariants of stable maps with fields},
  author = {Huai-liang Chang and Jun Li},
  journal= {arXiv preprint arXiv:1101.0914},
  year   = {2011}
}

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33 pages