Hyperbolicity of the graph of non-separating multicurves

Ursula Hamenstaedt

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arXiv · 1304.4307

Hyperbolicity of the graph of non-separating multicurves

Ursula Hamenstaedt

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Abstract

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.

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BibTeX RIS

Ursula Hamenstaedt. 2013-04-16. Hyperbolicity of the graph of non-separating multicurves. https://arxiv.org/abs/1304.4307

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