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arXiv · 1009.3341

Friezes, Strings and Cluster Variables

Ibrahim Assem·Grégoire Dupont·Ralf Schiffler·David Smith
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Abstract

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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Ibrahim Assem, Grégoire Dupont, Ralf Schiffler, David Smith. 2011-03-14. Friezes, Strings and Cluster Variables. https://arxiv.org/abs/1009.3341

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