Karin Baur
Published 2008-04-25Version 1
In this note we explain how to obtain cluster algebras from triangulations of (punctured) discs following the approach of S. Fomin, M. Shapiro and D. Thurston. Furthermore, we give a description of m-cluster categories via diagonals (arcs) in (punctured) polygons and of m-cluster categories via powers of translation quivers as given in joint work with R. Marsh.
Comments: 13 pages, 12 figures. This is an expanded version of a survey talk at the Courant-Colloquium Goettingen Trends in Mathematics, October 2008
Journal: Trends in Mathematics, R. Meyer, T. Schick, Y. Tschinkel (Eds.), Mathematisches Institut, Georg-August-Universit\"at G\"ottingen, Courant-Colloquium G\"ottingen 2007 (2008), 13-30
Combinatorial model for m-cluster categories in type E
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