On the Fukaya categories of higher genus surfaces

DOI10.1016/j.aim.2007.08.011zbMath1155.57029arXivmath/0606598OpenAlexW2012003321MaRDI QIDQ2469884

Mohammed Abouzaid

Publication date: 11 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606598

zbMATH Keywords

mapping class groupGrothendieck groupFukaya categoryquasi-isomorphismNovikov ringA-infinity structure

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

Related Items (21)

Homological Mirror Symmetry for the genus two curve ⋮ A faithful linear-categorical action of the mapping class group of a surface with boundary ⋮ Quiver algebras as Fukaya categories ⋮ The correspondence induced on the pillowcase by the earring tangle ⋮ THE HALL ALGEBRAS OF SURFACES I ⋮ Homological mirror symmetry for curves of higher genus ⋮ Bordered Floer homology for manifolds with torus boundary via immersed curves ⋮ Sectorial descent for wrapped Fukaya categories ⋮ Categorification of the coefficients of the Burau representation matrix. ⋮ Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces ⋮ The Fukaya category of the pillowcase, traceless character varieties, and Khovanov cohomology ⋮ Legendrian skein algebras and Hall algebras ⋮ On pseudo-Anosov autoequivalences ⋮ Flat surfaces and stability structures ⋮ Homological mirror symmetry for the 4-torus ⋮ Homological mirror symmetry for manifolds of general type ⋮ Combinatorial Floer Homology ⋮ Topological Fukaya categories of surfaces ⋮ SYZ transforms for immersed Lagrangian multisections ⋮ Fukaya categories of surfaces, spherical objects and mapping class groups ⋮ The Lagrangian cobordism group of \(T^2\)

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