English

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

Algebraic Geometry 2007-05-23 v1

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}.

Keywords

Cite

@article{arxiv.math/9802059,
  title  = {Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry},
  author = {Atsushi Takahashi},
  journal= {arXiv preprint arXiv:math/9802059},
  year   = {2007}
}

Comments

29pages, LaTeX2e file

R2 v1 2026-07-22T17:57:43.270Z