Finiteness properties of asymptotically rigid handlebody groups

Sergio Domingo-Zubiaga

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arXiv · 2504.05787

Finiteness properties of asymptotically rigid handlebody groups

Sergio Domingo-Zubiaga

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Abstract

We introduce asymptotically rigid mapping class groups of handlebodies and determine their finiteness properties, which vary depending on the space of ends of the underlying handlebody. As it turns out, in some cases, the homology of these groups coincides with the stable homology of handlebody groups, as studied by Hatcher and Wahl.

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Sergio Domingo-Zubiaga. 2025-04-08. Finiteness properties of asymptotically rigid handlebody groups. https://arxiv.org/abs/2504.05787

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