Constructing Convex Planes In The Pants Complex

Our 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.


Published in:
Proceedings Of The American Mathematical Society, 137, 3523-3531
Year:
2009
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-12-03


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