Title：Algebraic geometry of A-twsited topological string theory of Landau Ginzburg type

Speaker: Prof. Chang Huai-Liang, The Hongkong University of Science and Technology

Time: 2011.05.27, Friday, 9:00-11:00 am

Place: Resource Building 1328

Abstract
Landau Ginzburg (LG) space is a noncompact space with a superpotential (function on it). Many kinds of string theory have LG space as target. A twisted topological string of compact variety as target is the Gromov Witten theory in algebraic geometry. For the case of LG space as target the corresponding algebraic geometric theory is found to be Kiem-Li Cosection Localization applied to supersymmetric variation of superpotential. This constructs algebraically the Witten's top Chern classes as an analogue of virtual fundamental class in GW theory. We will talk about this construction for both Fan-Jarvis-Ruan-Witten theory and Guffin-Sharpe-Witten model. This is a joint work with Jun Li.