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Totally geodesic subgraphs of the pants complex
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Aramayona, Javier, Parlier, Hugo and Shackleton, Kenneth J.. (2008) Totally geodesic subgraphs of the pants complex. Mathematical Research Letters, Vol.15 (No.2). pp. 309-320. ISSN 1073-2780
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Official URL: http://www.mathjournals.org/mrl/2008-015-002/2008-...
Abstract
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Mathematical Research Letters |
| Publisher: | Mathematical Publishing |
| ISSN: | 1073-2780 |
| Date: | March 2008 |
| Volume: | Vol.15 |
| Number: | No.2 |
| Number of Pages: | 12 |
| Page Range: | pp. 309-320 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/29830 |
Data sourced from Thomson Reuters' Web of Knowledge
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