On continuous 2-frieze patterns
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908902718701568 |
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| author | Tabachnikov, Serge |
| author_facet | Tabachnikov, Serge |
| contents | We define and study a continuous version of 2-frieze patterns, a combinatorial structure closely related with frieze patterns of Coxeter and Conway. We describe the relation of continuous 2-friezes with the moduli space of projective curves and relate the (pre)symplectic structure on the space of closed 2-friezes, considered as a cluster variety, with the Adler-Gelfand-Dikii bracket on the space of 3rd order differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19872 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On continuous 2-frieze patterns Tabachnikov, Serge Combinatorics We define and study a continuous version of 2-frieze patterns, a combinatorial structure closely related with frieze patterns of Coxeter and Conway. We describe the relation of continuous 2-friezes with the moduli space of projective curves and relate the (pre)symplectic structure on the space of closed 2-friezes, considered as a cluster variety, with the Adler-Gelfand-Dikii bracket on the space of 3rd order differential operators. |
| title | On continuous 2-frieze patterns |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.19872 |