The mapping class group orbit of a multicurve
Differential Geometry
2009-03-16 v2 Geometric Topology
Abstract
Given a set equipped with a transitive action of a group, we define the notion of an almost invariant coloring of the set. We consider the mapping class group orbit of a multicurve on a compact surface, and prove that in the case of genus at least two, no such almost invariant coloring exists. Conversely, in the case of a closed torus, one may find almost invariant colorings using arbitrarily many colors.
Cite
@article{arxiv.0802.3000,
title = {The mapping class group orbit of a multicurve},
author = {Rasmus Villemoes},
journal= {arXiv preprint arXiv:0802.3000},
year = {2009}
}
Comments
15 pages, 4 figures, LaTeX; corrected one bibliography entry