5 citations · 10 across the 4 of their papers we have counts for
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math.SG2006★ 5 cited
Morse Homology, Tropical Geometry, and Homological Mirror Symmetry for Toric Varieties
Mohammed Abouzaid
Given a smooth projective toric variety X, we construct an A-infinity category of Lagrangians with boundary on a level set of the Landau-Ginzburg mirror of X. We prove that this ca…
math.SG2006★ 1 cited
On the Fukaya Categories of Higher Genus Surfaces
Mohammed Abouzaid
We construct the Fukaya category of a closed surface equipped with an area form using only elementary (essentially combinatorial) methods. We also compute the Grothendieck group of…
math.SG2005
Homogeneous coordinate rings and mirror symmetry for toric varieties
Mohammed Abouzaid
Given a smooth toric variety X and an ample line bundle O(1), we construct a sequence of Lagrangian submanifolds of (C^*)^n with boundary on a level set of the Landau-Ginzburg mirr…