Isoperimetric inequalities for the handlebody groups

2011/09/24 by Ursula Hamenstädt, Sebastian Hensel, Hamenstädt, Ursula +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #20F65 #57M07 #Cell Adhesion Molecules Research #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1109.5255

openalex publication_date 2011/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the mapping class group of a handlebody of genus at least 2 has a Dehn function of at most exponential growth type.

Related

• The Geometry of the Handlebody Groups II: Dehn functions
• Generalized Dehn Functions II
• The geometry of the handlebody groups I: Distortion
• Filling loops at infinity in the mapping class group
• Isoperimetric inequalities in finitely generated groups