Convexity of strata in diagonal pants graphs of surfaces
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.
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Veröffentlicht in: | Publicacions Matemàtiques 2013, Vol.57 (1), p.219-237, Article 219 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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. |
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ISSN: | 0214-1493 2014-4350 |
DOI: | 10.5565/PUBLMAT_57113_08 |