Curve graphs on surfaces of infinite type
Geometric Topology
2014-10-14 v1
Abstract
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves which are bounded in both a geometric and a topological sense. We show that the graphs we construct are generally connected, infinite diameter and infinite rank.
Keywords
Cite
@article{arxiv.1410.3136,
title = {Curve graphs on surfaces of infinite type},
author = {Ariadna Fossas and Hugo Parlier},
journal= {arXiv preprint arXiv:1410.3136},
year = {2014}
}
Comments
11 pages, 3 figures