English

Dimer models and homological mirror symmetry for triangles

Algebraic Geometry 2010-04-22 v1 Symplectic Geometry

Abstract

We prove a conjecture on the relation between dimer models, coamoebas and vanishing cycles for the mirrors of two-dimensional toric Fano stacks of Picard number one. As a corollary, we obtain a torus-equivariant version of homological mirror symmetry for such stacks.

Keywords

Cite

@article{arxiv.1004.3620,
  title  = {Dimer models and homological mirror symmetry for triangles},
  author = {Masahiro Futaki and Kazushi Ueda},
  journal= {arXiv preprint arXiv:1004.3620},
  year   = {2010}
}

Comments

9 pages, 7 figures

R2 v1 2026-06-21T15:12:56.474Z