157 citations · 536 across the 39 of their papers we have counts for
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Fukaya category with supports
Mohammed Abouzaid, Yoel Groman, Umut Varolgunes
We associate to each compact subset of a closed symplectic manifold an -category $\Fuk_K$, called the Fukaya category with support on . The objects are tautolo…
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Álvarez-Gavela, Sylvain Courte +1
Let and be closed, connected, smooth manifolds and let be an exact Lagrangian embedding. The induced map is known by earlier work to be a…
The focus-focus addition graph is immersed
Mohammed Abouzaid, Nathaniel Bottman, Yunpeng Niu
For a symplectic 4-manifold equipped with a singular Lagrangian fibration with a section, the natural fiberwise addition given by the local Hamiltonian flow is well-defined on…
Foundation of Floer homotopy theory I: Flow categories
Mohammed Abouzaid, Andrew J. Blumberg
We construct a stable infinity category with objects flow categories and morphisms flow bimodules; our construction has many flavors, related to a choice of bordism theory, and we…
Gromov-Witten invariants in complex and Morava-local -theories
Mohammed Abouzaid, Mark McLean, Ivan Smith
Given a closed symplectic manifold , we construct Gromov-Witten-type invariants valued both in (complex) -theory and in any complex-oriented cohomology theory wh…
Functoriality in categorical symplectic geometry
Mohammed Abouzaid, Nathaniel Bottman
Categorical symplectic geometry is the study of a rich collection of invariants of symplectic manifolds, including the Fukaya -category, Floer cohomology, and symplectic…