Hyperbolic surfaces with long systoles that form a pants decomposition
Geometric Topology
2016-09-05 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1609.00632,
title = {Hyperbolic surfaces with long systoles that form a pants decomposition},
author = {Bram Petri},
journal= {arXiv preprint arXiv:1609.00632},
year = {2016}
}
Comments
13 pages, 5 figures