TL;DR
This paper surveys duality principles in Landau-Ginzburg models, focusing on pairs of smooth complex varieties and regular functions, highlighting their mathematical significance.
Contribution
It provides a comprehensive overview of duality statements related to Landau-Ginzburg models and their geometric structures.
Findings
Summarizes key duality concepts in Landau-Ginzburg models
Connects duality to geometric and physical theories
Highlights open problems and future directions
Abstract
This article surveys various duality statements attached to a pair consisting of a smooth complex quasi-projective variety and a regular function on it. It is dedicated to the memory of Bumsig Kim.
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