On cluster algebras from once punctured closed surfaces

Autor:	Ladkani, Sefi
Rok vydání:	2013
Předmět:	Mathematics - Representation Theory 13F60 16G20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.4454 Zobrazit plný text záznamu View this record from Arxiv