Homological stability for Artin monoids

Homological stability for Artin monoids

We prove that certain sequences of Artin monoids containing the braid monoid as a submonoid satisfy homological stability. When the K(π,1) conjecture holds for the associated family of Artin groups, this establishes homological stability for these groups. In particular, this recovers and extends Arn...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2020-09, Vol.121 (3), p.537-583
1. Verfasser: Boyd, Rachael
Format: Artikel
Sprache:eng
Schlagworte:
20F36
20F55
20M32 (primary)
55U10
57M07
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Zusammenfassung:We prove that certain sequences of Artin monoids containing the braid monoid as a submonoid satisfy homological stability. When the K(π,1) conjecture holds for the associated family of Artin groups, this establishes homological stability for these groups. In particular, this recovers and extends Arnol'd's proof of stability for the Artin groups of type A, B and D.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms.12335