Denominator conjecture for some surface cluster algebras
Representation Theory
2024-07-17 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2407.11826,
title = {Denominator conjecture for some surface cluster algebras},
author = {Changjian Fu and Shengfei Geng},
journal= {arXiv preprint arXiv:2407.11826},
year = {2024}
}
Comments
28 pages, comments welcome