On cluster algebras from once punctured closed surfaces
Representation Theory
2013-10-17 v1
Abstract
We show that many cluster-theoretic properties of the Markov quiver hold also for adjacency quivers of triangulations of once-punctured closed surfaces of arbitrary genus. Along the way we consider the class P of quivers introduced by Kontsevich and Soibelman, characterize the mutation-finite quivers that belong to that class and draw some conclusions regarding non-degenerate potentials on them.
Cite
@article{arxiv.1310.4454,
title = {On cluster algebras from once punctured closed surfaces},
author = {Sefi Ladkani},
journal= {arXiv preprint arXiv:1310.4454},
year = {2013}
}
Comments
17 pages