Journal article

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
    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
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/304882
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