Boyd, R. (2020) Homological stability for Artin monoids. Proceedings of the London Mathematical Society, 121(3), pp. 537-583. (doi: 10.1112/plms.12335)
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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(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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Boyd, Dr Rachael |
| Authors: | Boyd, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the London Mathematical Society |
| Publisher: | Wiley |
| ISSN: | 0024-6115 |
| ISSN (Online): | 1460-244X |
| Published Online: | 29 April 2020 |
| Copyright Holders: | Copyright © 2020 The Authors |
| First Published: | First published in Proceedings of the London Mathematical Society 121(3):537-583 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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