| Date: |
2013 |
| Abstract: |
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph. |
| Rights: |
Tots els drets reservats.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Pants complex ;
Forgetful map ;
Weil-Petersson metric |
| Published in: |
Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 219-237, ISSN 2014-4350 |
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