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research article
Totally geodesic subgraphs of the pants complex
Aramayona, Javier
•
Parlier, Hugo
•
Shackleton, Kenneth J.
In recent work of Brock's, the pants graph is shown to be a combinatorial model for the completion of the Weil-Petersson metric on Teichmuller space. We prove that every Farey graph embedded in the pants graph is totally geodesic, in analogy with the extrinsic geometry of any 2-dimensional stratum inside the Weil-Petersson completion.
Type
research article
Web of Science ID
WOS:000256980500009
Authors
Aramayona, Javier
•
Parlier, Hugo
•
Shackleton, Kenneth J.
Publication date
2008
Published in
Volume
15
Start page
309
End page
320
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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