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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.