Gauged Linear Sigma Model in Geometric Phases. I

Abstract

We construct a cohomological field theory for a gauged linear sigma model space in geometric phase, using the method of gauge theory and differential geometry. The cohomological field theory is expected to match the Gromov-Witten theory of the classical vacuum up to a change of variable, and is expected to match various other algebraic geometric constructions.

Split from the previous version as requested by the journal editor. In the companion 2407.14545 we provide the detailed virtual cycle construction and prove its properties

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Cited by in corpus (4)

• The logarithmic gauged linear sigma model
• Monopoles and Landau-Ginzburg Models I
• A wall-crossing formula and the invariance of GLSM correlation functions
• Counting pointlike instantons virtually without gluing