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Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry

Atsushi Takahashi
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Abstract

In this paper, we will describe the mathematical foundation of topological Landau-Ginzburg (LG) models coupled to gravity at genus 0 in terms of primitive forms. We also discuss the mirror symmetry for Calabi-Yau manifolds and CP^1 in our context. We will show that the mirror partner of CP^1 is the theory of primitive form associated to f=z+qz^{-1}.

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Atsushi Takahashi. 1998-02-12. Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry. https://arxiv.org/abs/math/9802059

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