#### Volume 19, issue 5 (2015)

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Quiver algebras as Fukaya categories

### Ivan Smith

Geometry & Topology 19 (2015) 2557–2617
##### 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.

##### Keywords
quiver algebra, Fukaya category, stability condition
Primary: 53D37
Secondary: 16S38