An explicit presentation for asymptotically rigid mapping class groups
Geometric Topology
2026-03-27 v1 Group Theory
Abstract
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 Labru\`ere and Paris, we compute explicit presentations for asymptotically rigid mapping class groups of surfaces.
Cite
@article{arxiv.2603.25586,
title = {An explicit presentation for asymptotically rigid mapping class groups},
author = {Sergio Domingo-Zubiaga},
journal= {arXiv preprint arXiv:2603.25586},
year = {2026}
}