research article
Constructing Convex Planes In The Pants Complex
Aramayona, Javier
•
Parlier, Hugo
•
Shackleton, Kenneth J.
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.
Type
research article
Web of Science ID
WOS:000270269000036
Author(s)
Aramayona, Javier
Parlier, Hugo
Shackleton, Kenneth J.
Date Issued
2009
Published in
Volume
137
Start page
3523
End page
3531
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
November 30, 2010
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