Filling loops at infinity in the mapping class group
Group Theory
2012-05-04 v2
Abstract
We study the Dehn function at infinity in the mapping class group, finding a polynomial upper bound of degree four. This is the same upper bound that holds for arbitrary right-angled Artin groups.
Keywords
Cite
@article{arxiv.1109.6048,
title = {Filling loops at infinity in the mapping class group},
author = {Aaron Abrams and Noel Brady and Pallavi Dani and Moon Duchin and Robert Young},
journal= {arXiv preprint arXiv:1109.6048},
year = {2012}
}
Comments
7 pages, 2 figures; this note presents a result which was contained in an earlier version of "Pushing fillings in right-angled Artin groups" (arXiv:1004.4253) but is independent of the techniques in that paper