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arXiv · 2606.12206

Stable homology of complex braid groups

Andrea Bianchi·Filippo Callegaro·Luigi Caputi·Paolo Salvatore
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Abstract

We compute the stable homology of complex braid groups of types $B(e,e,n)$ and $B(2e,e,n)$ for fixed $e\ge2$ and increasing $n$. This accounts for the stable homology of all infinite families of complex braid groups. We achieve this by explicitly computing a quillenization of their stable classifying spaces. In particular, we provide a proof of an identification of the stable homology of Artin groups of type $D$ claimed by Fuchs in the '70s.

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Andrea Bianchi, Filippo Callegaro, Luigi Caputi, Paolo Salvatore. 2026-06-10. Stable homology of complex braid groups. https://arxiv.org/abs/2606.12206

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