Publication

Constructing convex planes in the pants complex

Aramayona, Javier
; 
Parlier, Hugo
; 
Shackleton, Kenneth J.
Identifiers
http://hdl.handle.net/10379/10274
 https://doi.org/10.13025/28301
Publication Date
2009-10-01
Keywords
pants complex, weil-petersson metric, teichmuller space, geometry
Type
journal article
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Citation
Aramayona, Javier; Parlier, Hugo; Shackleton, Kenneth J. (2009). Constructing convex planes in the pants complex. Proceedings of the American Mathematical Society 137 (10), 3523-3531
Abstract
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.
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Publisher
American Mathematical Society (AMS)
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Externally hosted open access publications with University of Galway authors (2)