The family Floer functor is faithful

DOI10.4171/JEMS/715zbMath1371.53087arXiv1408.6794OpenAlexW2963949699MaRDI QIDQ2359447

Mohammed Abouzaid

Publication date: 28 June 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6794

zbMATH Keywords

homological mirror symmetryLagrangian torus fibrationFloer family functor

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Rigid analytic geometry (14G22)

Related Items (17)

The canonical wall structure and intrinsic mirror symmetry ⋮ Involutions, obstructions and mirror symmetry ⋮ The symplectic cohomology of magnetic cotangent bundles ⋮ Immersed two-spheres and SYZ with application to Grassmannians ⋮ SYZ mirror symmetry for del Pezzo surfaces and affine structures ⋮ The SYZ Conjecture via Homological Mirror Symmetry ⋮ Localized mirror functor constructed from a Lagrangian torus ⋮ Homological mirror symmetry without correction ⋮ Homological mirror symmetry for local Calabi-Yau manifolds via SYZ ⋮ Characteristic classes via 4-dimensional gauge theory ⋮ Lagrangian cobordism and tropical curves ⋮ SYZ mirror symmetry for hypertoric varieties ⋮ Noncommutative Homological Mirror Functor ⋮ Mirror symmetry and Fukaya categories of singular hypersurfaces ⋮ Unnamed Item ⋮ Fukaya categories of surfaces, spherical objects and mapping class groups ⋮ Disk counting and wall-crossing phenomenon via family Floer theory

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