Homological stability for Artin Monoids

Rachael Jane Boyd* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume121
Issue number3
Early online date29 Apr 2020
DOIs
Publication statusPublished - Sep 2020

Keywords

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

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