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arXiv:math/0702837 [math.GT]AbstractReferencesReviewsResources

Constructing convex planes in the pants complex

Javier Aramayona, Hugo Parlier, Kenneth J. Shackleton

Published 2007-02-27Version 1

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.

Comments: 9 pages, 1 figure
Categories: math.GT
Subjects: 57M50, 05C12
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