Homological stability: a tool for computations
Algebraic Topology
2025-01-06 v1 Geometric Topology
Abstract
Homological stability has shown itself to be a powerful tool for the computation of homology of families of groups such as general linear groups, mapping class groups or automorphisms of free groups. We survey here tools and techniques for proving homological stability theorems and for computing the stable homology, and illustrate the method through the computation of the homology of Higman-Thompson groups.
Cite
@article{arxiv.2203.07767,
title = {Homological stability: a tool for computations},
author = {Nathalie Wahl},
journal= {arXiv preprint arXiv:2203.07767},
year = {2025}
}
Comments
Contribution to the Proceedings of the 2022 ICM