Quiver algebras as Fukaya categories

Smith, Ivan¹

¹ Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK

Geometry & topology, Tome 19 (2015) no. 5, pp. 2557-2617.

Résumé

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.

Détail

DOI : 10.2140/gt.2015.19.2557

Classification : 53D37, 16S38
Keywords: quiver algebra, Fukaya category, stability condition

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