%0 Journal Article
%T Hyperbolicity of the graph of non-separating multicurves
%A Ursula Hamenstaedt
%J Mathematics
%D 2013
%I arXiv
%X A non-separating multicurve of a surface S of genus g with m punctures is a multicurve c so that S-c is connected. For k>0 define the graph of non-separting k-multicurves to be the graph whose vertices are non-separating multicurves with k components and where two such multicurves are connected by an edge if they can be realized disjointly. We show that if k is smaller than g/2+1 then this graph is hyperbolic.
%U http://arxiv.org/abs/1304.4307v2