Constructing convex planes in the pants complex
Geometric Topology
2007-05-23 v1
Abstract
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the 1-skeleton of the pants complex.
Cite
@article{arxiv.math/0702837,
title = {Constructing convex planes in the pants complex},
author = {Javier Aramayona and Hugo Parlier and Kenneth J. Shackleton},
journal= {arXiv preprint arXiv:math/0702837},
year = {2007}
}
Comments
9 pages, 1 figure