Quiver algebras as Fukaya categories
Symplectic Geometry
2016-01-20 v3 Representation Theory
Abstract
We embed triangulated categories defined by quivers with potential arising from ideal triangulations of marked bordered surfaces into Fukaya categories of quasi-projective 3-folds associated to meromorphic quadratic differentials. Together with previous results, this yields non-trivial computations of spaces of stability conditions on Fukaya categories of symplectic 6-manifolds.
Keywords
Cite
@article{arxiv.1309.0452,
title = {Quiver algebras as Fukaya categories},
author = {Ivan Smith},
journal= {arXiv preprint arXiv:1309.0452},
year = {2016}
}
Comments
50 pages, 13 figures. Version 3 corrects a sign error, exchanging the roles of the twisted and untwisted Fukaya categories