Denominator conjecture for some surface cluster algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916326361006080 |
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| author | Fu, Changjian Geng, Shengfei |
| author_facet | Fu, Changjian Geng, Shengfei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11826 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Denominator conjecture for some surface cluster algebras Fu, Changjian Geng, Shengfei Representation Theory Combinatorics 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. |
| title | Denominator conjecture for some surface cluster algebras |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2407.11826 |