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
Repository DOI
10.1090/s0002-9939-09-09907-9
Publication Date
2009-10-01
Keywords
pants complex, weil-petersson metric, teichmuller space, geometry
Type
Article
Downloads
Show all metadata
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.
Funder
Publisher
American Mathematical Society (AMS)
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
Collections
Externally hosted open access publications with University of Galway authors (2)