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March 2021 The Geometry of the Handlebody Groups II: Dehn Functions
Ursula Hamenstädt, Sebastian Hensel
Michigan Math. J. 70(1): 23-53 (March 2021). DOI: 10.1307/mmj/1586160015

Abstract

We show that the Dehn function of the handlebody group is exponential in any genus g3. On the other hand, we show that the handlebody group of genus 2 is cubical and biautomatic and therefore has a quadratic Dehn function.

Citation

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Ursula Hamenstädt. Sebastian Hensel. "The Geometry of the Handlebody Groups II: Dehn Functions." Michigan Math. J. 70 (1) 23 - 53, March 2021. https://doi.org/10.1307/mmj/1586160015

Information

Received: 4 December 2018; Revised: 11 August 2019; Published: March 2021
First available in Project Euclid: 6 April 2020

Digital Object Identifier: 10.1307/mmj/1586160015

Subjects:
Primary: 20F65, 57Mxx

Rights: Copyright © 2021 The University of Michigan

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Vol.70 • No. 1 • March 2021
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