Aramayona, JavierParlier, HugoShackleton, Kenneth J.2010-11-302010-11-302010-11-30200910.1090/S0002-9939-09-09907-9https://infoscience.epfl.ch/handle/20.500.14299/59782WOS:000270269000036Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, referred to as the pants graph, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the pants graph of any surface of complexity at least 3.Pants complexWeil-Petersson metricTeichmuller SpaceGeometrytext::journal::journal article::research article