Quivers with potentials associated with triangulations of Riemann surfaces

We study the behavior of quivers with potentials and their mutations introduced by Derksen-Weyman-Zelevinsky in the combinatorial framework developed by Fomin-Shapiro-Thurston for cluster algebras that arise from bordered Riemann surfaces with marked points.

Bibliographic Details
Published:
Online Access:http://hdl.handle.net/2047/d20000727
Description
Summary:We study the behavior of quivers with potentials and their mutations introduced by Derksen-Weyman-Zelevinsky in the combinatorial framework developed by Fomin-Shapiro-Thurston for cluster algebras that arise from bordered Riemann surfaces with marked points.