Quiver algebras as Fukaya categories
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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.
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Journal Title
Geometry & Topology
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Journal ISSN
1465-3060
1364-0380
1364-0380
Volume Title
19
Publisher
Mathematical Sciences Publishers
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Sponsorship
The author was partially supported by grant ERC-2007-StG-205349 from the European Research Council.