Mirror symmetry and Fukaya categories of singular hypersurfaces
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DOI: 10.1016/j.aim.2021.108116
Abstract: We consider a definition of the Fukaya category of a singular hypersurface proposed by Auroux, given by localizing the Fukaya category of a nearby fiber at Seidel's natural transformation, and show that this possesses several… read more here.
Keywords: category; fukaya categories; fukaya; symmetry fukaya ... See more keywords
Fukaya categories of surfaces, spherical objects and mapping class groups
Sign Up to like & getrecommendations! Published in 2021 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2021.21
Abstract: Abstract We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least $2$ whose Chern character represents a nonzero Hochschild homology class is quasi-isomorphic to a simple… read more here.
Keywords: class; fukaya categories; fukaya category; categories surfaces ... See more keywords