Systoles and kissing numbers of finite area hyperbolic surfaces
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Fanoni, Federica
Mathematics Institute, Zeeman Building, University of Warwick, Coventry, UK
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Parlier, Hugo
Department of Mathematics, University of Fribourg, Switzerland
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.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/304882
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