## Geometry & Topology

### Quiver algebras as Fukaya categories

Ivan Smith

#### 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.

#### Article information

Source
Geom. Topol., Volume 19, Number 5 (2015), 2557-2617.

Dates
Revised: 11 August 2014
Accepted: 4 November 2014
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.gt/1510858845

Digital Object Identifier
doi:10.2140/gt.2015.19.2557

Mathematical Reviews number (MathSciNet)
MR3416110

Zentralblatt MATH identifier
1328.53109

#### Citation

Smith, Ivan. Quiver algebras as Fukaya categories. Geom. Topol. 19 (2015), no. 5, 2557--2617. doi:10.2140/gt.2015.19.2557. https://projecteuclid.org/euclid.gt/1510858845

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