Friezes, Strings and Cluster Variables

arxiv: 1009.3341 · v2 · pith:IX4CYZZRnew · submitted 2010-09-17 · 🧮 math.AC

Friezes, Strings and Cluster Variables

Ibrahim Assem , Gr\'egoire Dupont , Ralf Schiffler , David Smith This is my paper

classification 🧮 math.AC

keywords stringclusterlaurentmodulepolynomialwalkalgebraassociate

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To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi-Yau tilted algebra, we prove that this Laurent polynomial coincides with the corresponding cluster character of the string module, up to an explicit normalising monomial factor.

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Friezes, Strings and Cluster Variables

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