The Moduli Space in the Gauged Linear Sigma Model

Citation:

Huijun FAN,Tyler JARVIS,Yongbin RUAN.The Moduli Space in the Gauged Linear Sigma Model[J].Chinese Annals of Mathematics B,2017,38(4):913~936
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Authors:

Huijun FAN; Tyler JARVIS;Yongbin RUAN

Foundation:

This work was supported by the Natural Science Foundation (Nos.DMS-1564502, DMS-1405245, DMS-1564457), the National Natural Science Foundation of China (Nos.11325101, 11271028) and the Ph.D. Programs Foundation of Ministry of Education of China (No.20120001110060).
Abstract: This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper the authors focus on the description of the moduli.

Keywords:

Landau-Ginzburg, Calabi-Yau, Gromov-Witten, GLSM, Moduli, Phase, Variation of geometric invariant theory, Symplectic reduction

Classification:

53D45, 14H35, 81T13, 81T30, 14H10, 14J33, 14J81
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