Constructing convex planes in the pants complex

Details Constructing convex planes in the pants complex Constructing convex planes in the pants complex

2007-02-27

arxiv.org/abs/math/0702837v1

Mathematics

Geometric Topology

9 pages, 1 figure

Scientific paper

Our main theorem identifies a class of totally geodesic subgraphs of the
1-skeleton of the pants complex, each isomorphic to the product of two Farey
graphs. We deduce the existence of many convex planes in the 1-skeleton of the
pants complex.

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