Hyperbolic surfaces with long systoles that form a pants decomposition
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- by Bram Petri PDF
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Abstract:
We present a construction of sequences of closed hyperbolic surfaces that have long systoles which form pants decompositions of these surfaces. The length of the systoles of these surfaces grows logarithmically as a function of their genus.References
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Additional Information
- Bram Petri
- Affiliation: Max Planck Institute for Mathematics, Bonn, Germany
- Address at time of publication: Mathematical Institute, University of Bonn, Bonn, Germany
- Email: bpetri@math.uni-bonn.edu
- Received by editor(s): September 22, 2016
- Received by editor(s) in revised form: February 28, 2017, and April 6, 2017
- Published electronically: September 13, 2017
- Communicated by: David Futer
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1069-1081
- MSC (2010): Primary 30F10; Secondary 53C22, 57M50
- DOI: https://doi.org/10.1090/proc/13806
- MathSciNet review: 3750219