Totally geodesic subgraphs of the pants complex
Geometric Topology
2007-05-23 v2 Combinatorics
Metric Geometry
Abstract
Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.
Cite
@article{arxiv.math/0608752,
title = {Totally geodesic subgraphs of the pants complex},
author = {Javier Aramayona and Hugo Parlier and Kenneth J. Shackleton},
journal= {arXiv preprint arXiv:math/0608752},
year = {2007}
}
Comments
13 pages, 6 figures. Minor changes in exposition, one reference added