Gale-Robinson Quivers and Principal Coefficients
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908848423436288 |
|---|---|
| author | Chen, Qiyue Musiker, Gregg |
| author_facet | Chen, Qiyue Musiker, Gregg |
| contents | In this paper, we provide a combinatorial interpretation for Laurent polynomials obtained by iteratively mutating a certain periodic quiver that has been framed with frozen vertices. This yields a family of cluster variables with principal coefficients associated to a family of integer sequences known as Gale-Robinson sequences. The work of this paper completes arguments for preliminary results announced in earlier work of Jeong-Musiker-Zhang, and relates to works of Bousquet-Mélou-Propp-West, Speyer, Vichitkunakorn, and of Eager-Franco. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19402 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gale-Robinson Quivers and Principal Coefficients Chen, Qiyue Musiker, Gregg Combinatorics 13F60 (Primary) 05A15, 05C70 (Secondary) In this paper, we provide a combinatorial interpretation for Laurent polynomials obtained by iteratively mutating a certain periodic quiver that has been framed with frozen vertices. This yields a family of cluster variables with principal coefficients associated to a family of integer sequences known as Gale-Robinson sequences. The work of this paper completes arguments for preliminary results announced in earlier work of Jeong-Musiker-Zhang, and relates to works of Bousquet-Mélou-Propp-West, Speyer, Vichitkunakorn, and of Eager-Franco. |
| title | Gale-Robinson Quivers and Principal Coefficients |
| topic | Combinatorics 13F60 (Primary) 05A15, 05C70 (Secondary) |
| url | https://arxiv.org/abs/2602.19402 |