On continuous 2-frieze patterns
Combinatorics
2026-03-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2603.19872,
title = {On continuous 2-frieze patterns},
author = {Serge Tabachnikov},
journal= {arXiv preprint arXiv:2603.19872},
year = {2026}
}