Systoles and kissing numbers of finite area hyperbolic surfaces
- Fanoni, Federica Mathematics Institute, Zeeman Building, University of Warwick, Coventry, UK
- Parlier, Hugo Department of Mathematics, University of Fribourg, Switzerland
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12.01.2016
Published in:
- Algebraic & Geometric Topology. - 2016, vol. 15, no. 6, p. 3409–3433
English
We study the number and the length of systoles on complete finite area orientable hyperbolic surfaces. In particular, we prove upper bounds on the number of systoles that a surface can have (the so-called kissing number for hyperbolic surfaces). Our main result is a bound which only depends on the topology of the surface and which grows subquadratically in the genus.
- 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 260718
- DOI 10.2140/agt.2015.15.3409
- Persistent URL
- https://folia.unifr.ch/unifr/documents/304882
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