A mathematical theory of the gauged linear sigma model

作者：Fan, Huijun^*; Jarvis, Tyler J.; Ruan, Yongbin

来源：Geometry and Topology, 2018, 22(1): 235-303.

DOI：10.2140/gt.2018.22.235

• GINZBURG/CALABI-YAU CORRESPONDENCE
• PFAFFIAN CALABI-YAU
• MODULI SPACE
• MIRROR
• GENUS

We construct a mathematical theory ofWitten's Gauged Linear Sigma Model (GLSM). Our theory applies to a wide range of examples, including many cases with nonabelian gauge group.
Both the Gromov-Witten theory of a Calabi-Yau complete intersection X and the Landau-Ginzburg dual (FJRW theory) of X can be expressed as gauged linear sigma models. Furthermore, the Landau-Ginzburg/Calabi-Yau correspondence can be interpreted as a variation of the moment map or a deformation of GIT in the GLSM. This paper focuses primarily on the algebraic theory, while a companion article will treat the analytic theory.

• 出版日期2018
• 单位北京大学