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Homological mirror symmetry for the genus two curve

Authors
  • Seidel, Paul
Type
Preprint
Publication Date
Aug 21, 2011
Submission Date
Dec 05, 2008
Source
arXiv
License
Yellow
External links

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.

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