Arc and curve graphs for infinite-type surfaces
- Aramayona, Javier Departamento de Matemáticas, Universidad Autónoma de Madrid, Spain
- Fossas, Ariadna Department of Mathematics, University of Fribourg, Switzerland
- Parlier, Hugo Department of Mathematics, University of Fribourg, Switzerland
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2017
Published in:
- Proceedings of the American Mathematical Society. - 2017, vol. 145, no. 11, p. 4995–5006
English
We study arc graphs and curve graphs for surfaces of infinite topological type. First, we define an arc graph relative to a finite number of (isolated) punctures and prove that it is a connected, uniformly hyperbolic graph of infinite diameter; this extends a recent result of J. Bavard to a large class of punctured surfaces.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 305698
- DOI 10.1090/proc/13608
- Persistent URL
- https://folia.unifr.ch/unifr/documents/306163
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