Laurent phenomenon algebras arising from surfaces
Combinatorics
2016-08-18 v1 Geometric Topology
Rings and Algebras
Abstract
It was shown by Fomin, Shapiro and Thurston that some cluster algebras arise from orientable surfaces. Subsequently, Dupont and Palesi extended this construction to non-orientable surfaces. We link this framework to Lam and Pylyavskyy's Laurent phenomenon algebras, showing that both orientable and non-orientable unpunctured marked surfaces have an associated LP-algebra.
Cite
@article{arxiv.1608.04794,
title = {Laurent phenomenon algebras arising from surfaces},
author = {Jon Wilson},
journal= {arXiv preprint arXiv:1608.04794},
year = {2016}
}
Comments
36 pages, 21 figures. Comments welcome