Analysis and geometry of Floer theory of Landau-Ginzburg model on ℂⁿ

Abstract

This article studies the Floer theory of Landau-Ginzburg (LG) model on ℂⁿ: We perturb the Kähler form within a xed Kähler class to guarantee the transversal intersection of Lefschetz thimbles. The C⁰ estimate for solutions of the LG Floer equation can be derived then by our analysis tools. The Fredholm property is guaranteed by all these results.

Keywords

Symplectic geometry / Floer theory / Landau-Ginzburg (LG) model

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