Abstract
A nonseparating multicurve on a surface of genus with punctures is a multicurve so that is connected. For define the graph of nonseparating –multicurves to be the graph whose vertices are nonseparating multicurves with components and where two such multicurves are connected by an edge of length one if they can be realized disjointly and differ by a single component. We show that if , then is hyperbolic.
Citation
Ursula Hamenstädt. "Hyperbolicity of the graph of nonseparating multicurves." Algebr. Geom. Topol. 14 (3) 1759 - 1778, 2014. https://doi.org/10.2140/agt.2014.14.1759
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