Positivity for quantum cluster algebras from orbifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910473228648448 |
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| author | Huang, Min |
| author_facet | Huang, Min |
| contents | Let $(S,M,U)$ be a marked orbifold with or without punctures and let $\mathcal A_v$ be a quantum cluster algebra from $(S,M,U)$ with arbitrary coefficients and quantization. We provide combinatorial formulas for quantum Laurent expansion of quantum cluster variables of $\mathcal A_v$ concerning an arbitrary quantum seed. Consequently, the positivity for the quantum cluster algebra $\mathcal A_v$ is proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Positivity for quantum cluster algebras from orbifolds Huang, Min Rings and Algebras Combinatorics Quantum Algebra Representation Theory 13F60, 05E15, 05E40 Let $(S,M,U)$ be a marked orbifold with or without punctures and let $\mathcal A_v$ be a quantum cluster algebra from $(S,M,U)$ with arbitrary coefficients and quantization. We provide combinatorial formulas for quantum Laurent expansion of quantum cluster variables of $\mathcal A_v$ concerning an arbitrary quantum seed. Consequently, the positivity for the quantum cluster algebra $\mathcal A_v$ is proved. |
| title | Positivity for quantum cluster algebras from orbifolds |
| topic | Rings and Algebras Combinatorics Quantum Algebra Representation Theory 13F60, 05E15, 05E40 |
| url | https://arxiv.org/abs/2406.03362 |