Ariadna Fossas, Hugo Parlier
Published 2014-10-12Version 1
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.
Comments: 11 pages, 3 figures
Stable cylinders and fine structures for hyperbolic groups and curve graphs
Ideally, all infinite type surfaces can be triangulated
Automorphism groups of simplicial complexes of infinite type surfaces
![QR code for arXiv:1410.3136 [math.GT]](http://oss.arxitics.com/images/favicon.svg)