Quiver algebras as Fukaya categories


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Authors
Smith, Ivan 
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.

Description
Keywords
4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
GEOMETRY & TOPOLOGY
Conference Name
Journal ISSN
1465-3060
1364-0380
Volume Title
19
Publisher
Mathematical Sciences Publishers
Sponsorship
The author was partially supported by grant ERC-2007-StG-205349 from the European Research Council.