Speaker: Melissa Liu (Columbia University)

Title: Gromov-Witten invariants of stable maps with fields

Abstract: This is an exposition of Jun Li and Huai-Liang Chang's theory of moduli of stable morphisms to a projective space with fields, which is can be viewed as an all genus mathematical theory of the Guffin-Sharpe-Witten model, and is a modified twisted Gromov-Witten invariants of the projective space. These invariants are constructed using the cosection localization of Kiem-Li, an algebro-geometric analogue of Witten's perturbed equations in Landau-Ginzburg theory. Li-Chang invariants coincide, up to sign, with the Gromov-Witten invariants of a smooth Calabi-Yau hypersurface in the projective space.