English

Mirror symmetry for toric Fano manifolds via SYZ transformations

Symplectic Geometry 2014-02-19 v4 Algebraic Geometry

Abstract

We construct and apply Strominger-Yau-Zaslow mirror transformations to understand the geometry of the mirror symmetry between toric Fano manifolds and Landau-Ginzburg models.

Keywords

Cite

@article{arxiv.0801.2830,
  title  = {Mirror symmetry for toric Fano manifolds via SYZ transformations},
  author = {Kwokwai Chan and Naichung Conan Leung},
  journal= {arXiv preprint arXiv:0801.2830},
  year   = {2014}
}

Comments

v4: final version, to appear in Adv. Math.; v3: 38 pages, substantially revised and expanded, the role of tropical geometry clarified in the newly added Subsection 2.2