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 Hyperbolicity of the graph of non-separating multicurves


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A non-separating multicurve of a surface S of finite type 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 the genus of S then this graph is hyperbolic.



Author: Ursula Hamenstaedt

Source: https://archive.org/



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