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  Homological stability for Artin monoids

Boyd, R. (2020). Homological stability for Artin monoids. Proceedings of the London Mathematical Society, 121(3), 537-583. doi:10.1112/plms.12335.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-1709-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-170A-5
Genre: Journal Article

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© 2020 The Authors. 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
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 Creators:
Boyd, Rachael1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology, Group Theory
 Abstract: We prove that certain sequences of Artin monoids containing the braid monoid
as a submonoid satisfy homological stability. When the $K(\pi,1)$ 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 $D$.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 47
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1808.07722
DOI: 10.1112/plms.12335
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Title: Proceedings of the London Mathematical Society
  Abbreviation : Proc. London Math. Soc.
Source Genre: Journal
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Publ. Info: Wiley
Pages: - Volume / Issue: 121 (3) Sequence Number: - Start / End Page: 537 - 583 Identifier: -