The second integral homology of even Artin groups
Group Theory
2025-07-09 v2 Algebraic Topology
Abstract
In this paper, we compute the second integral homology of even Artin groups using Hopf's formula. We then apply our results to the computation of cup products and Pontryagin products on even Artin groups, as well as to the second integral homology of even Coxeter groups.
Keywords
Cite
@article{arxiv.2507.04577,
title = {The second integral homology of even Artin groups},
author = {Toshiyuki Akita},
journal= {arXiv preprint arXiv:2507.04577},
year = {2025}
}
Comments
To appear in Kyushu Journal of Mathematics. (v2: I fixed the incorrect rendering of the commutative diagram.)