Filling loops at infinity in the mapping class group
Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young

TL;DR
This paper investigates the Dehn function at infinity in the mapping class group, establishing a polynomial upper bound of degree four, similar to that of right-angled Artin groups, advancing understanding of geometric properties of these groups.
Contribution
It provides the first polynomial upper bound of degree four for the Dehn function at infinity in the mapping class group, aligning it with right-angled Artin groups.
Findings
Dehn function at infinity in the mapping class group is polynomial of degree four
Mapping class group shares similar geometric properties with right-angled Artin groups
Establishes a new upper bound for the Dehn function at infinity
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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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · semigroups and automata theory
