The second integral homology of even Artin groups
Toshiyuki Akita
TL;DR
This paper computes the second integral homology of even Artin groups using Hopf's formula and explores applications to cup and Pontryagin products, also extending results to even Coxeter groups.
Contribution
It provides the first explicit computation of the second integral homology for even Artin groups and applies these results to related algebraic structures.
Findings
Second integral homology of even Artin groups explicitly computed
Applications to cup and Pontryagin products demonstrated
Results extended to even Coxeter groups
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory