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math.RT2011★ 79 cited
Bases for cluster algebras from surfaces
Gregg Musiker, Ralf Schiffler, Lauren Williams
We construct two bases for each cluster algebra coming from a triangulated surface without punctures. We work in the context of a coefficient system coming from a full-rank exchang…
math.RT2008★ 5 cited
Cluster expansion formulas and perfect matchings
Gregg Musiker, Ralf Schiffler
We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster v…