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Quiver algebras as Fukaya categories

2013/09/30 by Ivan Smith · 1 citation
Mathematics · #math.SG #math.RT #msc:53D37 #msc:16S38

paper · pdf · doi:10.2140/gt.2015.19.2557

published as Geom. Topol. 19 (2015) 2557-2617 · 50 pages, 13 figures. Version 3 corrects a sign error, exchanging the roles of the twisted and untwisted Fukaya categories

arxiv created 2015/05/27 · arxiv updated 2016/01/20

Abstract

We embed triangulated categories defined by quivers with potential arising from ideal triangulations of marked bordered surfaces into Fukaya categories of quasi-projective 3-folds associated to meromorphic quadratic differentials. Together with previous results, this yields non-trivial computations of spaces of stability conditions on Fukaya categories of symplectic 6-manifolds.

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