Simplicial embeddings between multicurve graphs
Geometric Topology
2016-04-01 v3 Combinatorics
Abstract
We study some graphs associated to a surface, called k-multicurve graphs, which interpolate between the curve complex and the pants graph. Our main result is that, under certain conditions, simplicial embeddings between multicurve graphs are induced by -injective embeddings of the corresponding surfaces. We also prove the rigidity of the multicurve graphs.
Cite
@article{arxiv.1510.07700,
title = {Simplicial embeddings between multicurve graphs},
author = {Viveka Erlandsson and Federica Fanoni},
journal= {arXiv preprint arXiv:1510.07700},
year = {2016}
}
Comments
New introduction and some changes in Section 2, main results unchanged. References added. 18 pages, 5 figures