Totally geodesic subgraphs of the pants complex

Details Totally geodesic subgraphs of the pants complex Totally geodesic subgraphs of the pants complex

2006-08-30

arxiv.org/abs/math/0608752v2

Mathematics

Geometric Topology

13 pages, 6 figures. Minor changes in exposition, one reference added

Scientific paper

Our main theorem asserts that every Farey graph embedded in the 1-skeleton of
the pants complex of any finite type surface is totally geodesic.

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