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Quiver algebras as Fukaya categories

Published 2 Sep 2013 in math.SG and math.RT | (1309.0452v3)

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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