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arXiv · 1804.11133

The Geometry of the Handlebody Groups II: Dehn functions

Ursula Hamenstädt·Sebastian Hensel
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Abstract

We show that the Dehn function of the handlebody group is exponential in any genus $g\geq 3$. On the other hand, we show that the handlebody group of genus $2$ is cubical, biautomatic, and therefore has a quadratic Dehn function.

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Ursula Hamenstädt, Sebastian Hensel. 2018-04-30. The Geometry of the Handlebody Groups II: Dehn functions. https://arxiv.org/abs/1804.11133

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