157 citations · 536 across the 39 of their papers we have counts for
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Nearby Special Lagrangians
Mohammed Abouzaid, Yohsuke Imagi
Let be a Calabi--Yau manifold and a closed connected embedded special Lagrangian; closed Lagrangians mean compact Lagrangian submanifolds without boundary. We prov…
Complex cobordism, Hamiltonian loops and global Kuranishi charts
Mohammed Abouzaid, Mark McLean, Ivan Smith
Let be a closed symplectic manifold. A loop of diffeomorphisms of defines a fibration . By applying Gromov-Witten theory t…
Homological mirror symmetry for hypersurfaces in
Mohammed Abouzaid, Denis Auroux
We prove a homological mirror symmetry result for maximally degenerating families of hypersurfaces in (B-model) and their mirror toric Landau-Ginzburg A-models.…
Homological Mirror Symmetry for local SYZ singularities
Mohammed Abouzaid, Zachary Sylvan
Gross and Siebert identified a class of singular Lagrangian torus fibrations which arise when smoothing toroidal degenerations, and which come in pairs that are related by mirror s…
Arnold Conjecture and Morava K-theory
Mohammed Abouzaid, Andrew J. Blumberg
We prove that the rank of the cohomology of a closed symplectic manifold with coefficients in a field of characteristic is smaller than the number of periodic orbits of any non…