The (non)-relative hyperbolicity of the separating curve graph
Geometric Topology
2019-10-03 v1
Abstract
We prove that the separating curve graph of a connected, compact, orientable surface with genus at least 3 and a single boundary component is not relatively hyperbolic. This completes the classification of when the separating curve graph is hyperbolic and relatively hyperbolic initiated by previous works of the authors.
Keywords
Cite
@article{arxiv.1910.01051,
title = {The (non)-relative hyperbolicity of the separating curve graph},
author = {Jacob Russell and Kate M. Vokes},
journal= {arXiv preprint arXiv:1910.01051},
year = {2019}
}
Comments
19 pages, 12 figures. Comments welcome