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arXiv · 2407.11826

Denominator conjecture for some surface cluster algebras

Changjian Fu·Shengfei Geng
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Abstract

The denominator conjecture, proposed by Fomin and Zelevinsky, says that for a cluster algebra, the cluster monomials are uniquely determined by their denominator vectors with respect to an initial cluster. In this paper, for a cluster algebra from a marked surface with at least three boundary marked points, we establish this conjecture with respect to a given strong admissible tagged triangulation.

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Changjian Fu, Shengfei Geng. 2024-07-16. Denominator conjecture for some surface cluster algebras. https://arxiv.org/abs/2407.11826

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