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Hyperbolic surfaces with long systoles that form a pants decomposition

Author: Bram Petri
Journal: Proc. Amer. Math. Soc. 146 (2018), 1069-1081
MSC (2010): Primary 30F10; Secondary 53C22, 57M50
Published electronically: September 13, 2017
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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.

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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

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
Article copyright: © Copyright 2017 American Mathematical Society

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