The coarse geometry of hexagon decomposition graphs
Geometric Topology
2025-01-22 v1
Abstract
We define and study graphs associated to hexagon decompositions of surfaces by curves and arcs. One of the variants is shown to be quasi-isometric to the pants graph, whereas the other variant is quasi-isometric to (a Cayley graph of) the mapping class group.
Keywords
Cite
@article{arxiv.2204.00550,
title = {The coarse geometry of hexagon decomposition graphs},
author = {Funda Gültepe and Hugo Parlier},
journal= {arXiv preprint arXiv:2204.00550},
year = {2025}
}
Comments
19 pages, 10 figures