Homological mirror symmetry for the genus two curve
Algebraic Geometry
2011-08-23 v5 Symplectic Geometry
Abstract
Katzarkov has proposed a generalization of Kontsevich's mirror symmetry conjecture, covering some varieties of general type. We prove a version of this conjecture in the simplest example, relating the Fukaya category of a genus two curve to the category of Landau-Ginzburg branes on a certain singular rational surface.
Keywords
Cite
@article{arxiv.0812.1171,
title = {Homological mirror symmetry for the genus two curve},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:0812.1171},
year = {2011}
}
Comments
latest revision: exposition of Fukaya categories modified, one sign error removed