Infinite friezes and triangulations of annuli
Combinatorics
2022-04-05 v2 Representation Theory
Abstract
It is known that any infinite frieze comes from a triangulation of an annulus by Baur, Parsons and Tschabold. In this paper we show that each periodic infinite frieze determines a triangulation of an annulus in essentially a unique way. Since each triangulation of an annulus determines a pair of friezes, we study such pairs and show how they determine each other. We study associated module categories and determine the growth coefficient of the pair of friezes in terms of modules as well as their quiddity sequences.
Keywords
Cite
@article{arxiv.2007.09411,
title = {Infinite friezes and triangulations of annuli},
author = {Karin Baur and Ilke Canakci and Karin M. Jacobsen and Maitreyee C. Kulkarni and Gordana Todorov},
journal= {arXiv preprint arXiv:2007.09411},
year = {2022}
}
Comments
21 pages, 16 figures