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

1998/02/12 by Atsushi Takahashi, Takahashi, Atsushi · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9802059

29pages, LaTeX2e file

arxiv created 1998/02/12 · arxiv updated 2009/11/30

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 CP¹ in our context. We will show that the mirror partner of CP¹ is the theory of primitive form associated to f=z+qz^-1.

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