Filling loops at infinity in the mapping class group

2011/09/27 by Aaron Abrams, Noel Brady, Abrams, Aaron +8
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #math.GR #msc:20F65 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1109.6048

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

arxiv created 2012/05/03 · arxiv updated 2012/05/04

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.

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