The homology systole of hyperbolic Riemann surfaces
- Parlier, Hugo Department of Mathematics, University of Fribourg, Switzerland
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08.05.2011
Published in:
- Geometriae Dedicata. - 2012, vol. 157, no. 1, p. 331-338
English
The main goal of this note is to show that the study of closed hyperbolic surfaces with maximum length systole is in fact the study of surfaces with maximum length homological systole. The same result is shown to be true for once-punctured surfaces, and is shown to fail for surfaces with a large number of cusps.
- 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 28756
- DOI 10.1007/s10711-011-9613-0
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302225
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