English

Seidel elements and mirror transformations

Algebraic Geometry 2013-02-12 v2 Symplectic Geometry

Abstract

The goal of this article is to give a precise relation between the mirror symmetry transformation of Givental and the Seidel elements for a smooth projective toric variety XX with KX-K_X nef. We show that the Seidel elements entirely determine the mirror transformation and mirror coordinates.

Cite

@article{arxiv.1103.4171,
  title  = {Seidel elements and mirror transformations},
  author = {Eduardo Gonzalez and Hiroshi Iritani},
  journal= {arXiv preprint arXiv:1103.4171},
  year   = {2013}
}

Comments

36 pages. We corrected several issues as pointed out by the referee

R2 v1 2026-06-21T17:42:41.929Z