2013/04/16 by Hamenstaedt, Ursula
#57M99 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1304.4307
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.