Coxeter's frieze patterns and discretization of the Virasoro orbit
Symplectic Geometry
2014-01-20 v2 Algebraic Geometry
Abstract
We show that the space of classical Coxeter's frieze patterns can be viewed as a discrete version of a coadjoint orbit of the Virasoro algebra. The canonical (cluster) (pre)symplectic form on the space of frieze patterns is a discretization of the Kirillov symplectic form. We relate a continuous version of frieze patterns to conformal metrics of constant curvature in dimension 2.
Keywords
Cite
@article{arxiv.1312.3021,
title = {Coxeter's frieze patterns and discretization of the Virasoro orbit},
author = {Valentin Ovsienko and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1312.3021},
year = {2014}
}
Comments
typos corrected