Cluster Expansions from Punctured Orbifolds
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909017773703168 |
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| author | Banaian, Esther Kang, Wonwoo Kelley, Elizabeth Oğuz, Ezgi Kantarcı Yıldırım, Emine |
| author_facet | Banaian, Esther Kang, Wonwoo Kelley, Elizabeth Oğuz, Ezgi Kantarcı Yıldırım, Emine |
| contents | We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and $T$-walks - for elements in generalized cluster algebras associated to arcs on punctured orbifolds and illustrate their equivalence. This work generalizes and unifies existing work on combinatorial expansion formulas from surfaces and unpunctured orbifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04982 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cluster Expansions from Punctured Orbifolds Banaian, Esther Kang, Wonwoo Kelley, Elizabeth Oğuz, Ezgi Kantarcı Yıldırım, Emine Combinatorics 13F60, 06A11, 05A19 We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and $T$-walks - for elements in generalized cluster algebras associated to arcs on punctured orbifolds and illustrate their equivalence. This work generalizes and unifies existing work on combinatorial expansion formulas from surfaces and unpunctured orbifolds. |
| title | Cluster Expansions from Punctured Orbifolds |
| topic | Combinatorics 13F60, 06A11, 05A19 |
| url | https://arxiv.org/abs/2605.04982 |