Convexity of strata in diagonal pants graphs of surfaces
- Aramayona, Javier School of mathematics, statistics and applied mathematics, NUI Galway, Ireland
- Lecuire, Cyril Laboratoire Emile Picard Université Paul Sabatier, Toulouse, France
- Parlier, Hugo Department of mathematics, University of Fribourg, Switzerland
- Shackleton, Kenneth J. University of Tokyo IPMU, Japan
-
2011
Published in:
- Publicacions Matemàtiques. - 2012, vol. 57, no. 1, p. 219-237
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 31000
- DOI 10.5565/PUBLMAT_57113_08
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302728
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