Quiver algebras as Fukaya categories

Ivan Smith

doi:10.2140/gt.2015.19.2557

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Home > Journals > Geom. Topol. > Volume 19 > Issue 5 > Article

2015 Quiver algebras as Fukaya categories

Ivan Smith

Geom. Topol. 19(5): 2557-2617 (2015). DOI: 10.2140/gt.2015.19.2557

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Abstract

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