Constructing convex planes in the pants complex
Javier Aramayona, Hugo Parlier, Kenneth J. Shackleton · arXiv (Cornell University) · 2007
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.