Abstract
In recent years, a major technique in studying mapping class groups of
surfaces is to look at certain graphs associated to the surface which
are defined from the combinatorics of curves on the surface. The graphs
we study are typically infinite diameter and locally infinite. Instead
of the combinatorics of the graph, we are often interested in its
large-scale geometry, for example, whether it is Gromov hyperbolic. We
will give an introduction to graphs of multicurves and present a result
classifying large-scale geometric properties of a family of these
graphs in terms of a simple criterion.
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