Constructing Convex Planes In The Pants Complex
2009
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.
Details
Title
Constructing Convex Planes In The Pants Complex
Author(s)
Aramayona, Javier ; Parlier, Hugo ; Shackleton, Kenneth J.
Published in
Proceedings Of The American Mathematical Society
Volume
137
Pages
3523-3531
Date
2009
Keywords
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Laboratories
SB
Record Appears in
Scientific production and competences > Unattributed publications > SB - SB - Unattributed publications
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2010-11-30