Totally geodesic subgraphs of the pants complex

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.


Published in:
Mathematical Research Letters, 15, 309-320
Year:
2008
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-17


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