Homological stability for Artin Monoids

Rachael Jane Boyd* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
3 Downloads (Pure)


We prove that certain sequences of Artin monoids containing the braid monoid as a submonoid satisfy homological stability. When the K(n1) 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.
Original languageEnglish
Pages (from-to)537-583
Number of pages47
JournalProceedings of the London Mathematical Society
Issue number3
Early online date29 Apr 2020
Publication statusPublished - Sept 2020


  • 57M07
  • 20F36
  • 20F55
  • 55U10
  • 20M32 (primary)


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