Homological stability for Artin Monoids

Rachael Jane Boyd

doi:10.1112/plms.12335

Homological stability for Artin Monoids

Rachael Jane Boyd^* (Corresponding Author)

^*Corresponding author for this work

School of Natural & Computing Sciences

Max Planck Institute for Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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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 language	English
Pages (from-to)	537-583
Number of pages	47
Journal	Proceedings of the London Mathematical Society
Volume	121
Issue number	3
Early online date	29 Apr 2020
DOIs	https://doi.org/10.1112/plms.12335
Publication status	Published - Sept 2020

Keywords

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

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10.1112/plms.12335Licence: CC BY

Boyd_plms_VOR
© 2020 The Authors. The Proceedings of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. https://creativecommons.org/licenses/by/4.0/
Final published version, 880 KBLicence: CC BY

Cite this

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KW - 20F55

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KW - 20M32 (primary)

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Homological stability for Artin Monoids

Abstract

Keywords

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