Geometric construction of cluster algebras and cluster categories
Combinatorics
2010-11-18 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.0804.4065,
title = {Geometric construction of cluster algebras and cluster categories},
author = {Karin Baur},
journal= {arXiv preprint arXiv:0804.4065},
year = {2010}
}
Comments
13 pages, 12 figures. This is an expanded version of a survey talk at the Courant-Colloquium Goettingen Trends in Mathematics, October 2008