arXiv subjects

Sergio Domingo-Zubiaga

Publications and source records attributed to Sergio Domingo-Zubiaga.

2 recordsLinked to original sources

arXiv2026

An explicit presentation for asymptotically rigid mapping class groups

We show that several families of asymptotically rigid mapping class groups arise as explicit quotients of the fundamental group of a graph of groups, with mapping class groups as vertex and edge stabilizers. Using this description, and building on the work of Labruère and Paris, we compute explicit presentations for asymptotically rigid mapping class groups of surfaces.

math.GT↗

arXiv2025

Finiteness properties of asymptotically rigid handlebody groups

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.

math.GT↗