Geometry & Topology
- Geom. Topol.
- Volume 19, Number 5 (2015), 2557-2617.
Quiver algebras as Fukaya categories
We embed triangulated categories defined by quivers with potential arising from ideal triangulations of marked bordered surfaces into Fukaya categories of quasiprojective –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.
Geom. Topol., Volume 19, Number 5 (2015), 2557-2617.
Received: 22 September 2013
Revised: 11 August 2014
Accepted: 4 November 2014
First available in Project Euclid: 16 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53D37: Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category [See also 14J33]
Secondary: 16S38: Rings arising from non-commutative algebraic geometry [See also 14A22]
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