Gromov-Witten invariants of stable maps with fields

By Huai-liang Chang, Jun Li. 2011

98 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4ca7d3beb87d71677ce627444d1e1f8c0f82bf8e

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In Geometry and Topology

1. Y. Kiem
2. Jun Li
3. R. Pandharipande
4. A. Okounkov
5. Bernd S Siebert
6. Mark Gross
7. T. Graber
8. Ravi Vakil

Citations in the corpus

• Localizing virtual cycles by cosections (2010, methodology): “Chang and the second author of this paper, in [6], used the cosection localization to define the Gromov-Witten invariants of stable maps to P(4) with p-fields and related them to those of stable maps to a quintic three-fold.”