%0 Journal Article %T Homological mirror symmetry for the genus two curve %A Paul Seidel %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.1171v5