Damiani, C, Goncalves Faria Martins, J orcid.org/0000-0001-8113-3646 and Martin, PP (2021) On a canonical lift of Artin's representation to loop braid groups. Journal of Pure and Applied Algebra, 225 (12). 106760. ISSN 0022-4049
Abstract
Each pointed topological space has an associated π-module, obtained from action of its first homotopy group on its second homotopy group. For the 3-ball with a trivial link with n-components removed from its interior, its π-module is of free type. In this paper we give an injection of the (extended) loop braid group into the group of automorphisms of . We give a topological interpretation of this injection, showing that it is both an extension of Artin's representation for braid groups and of Dahm's homomorphism for (extended) loop braid groups.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Elsevier B.V. All rights reserved. This is an author produced version of an article published in Journal of Pure and Applied Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Primary; 20F36; secondary; 57Q45 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Funding Information: | Funder Grant number Leverhulme Trust RPG-2018-029 |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Apr 2021 13:15 |
Last Modified: | 20 Apr 2022 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jpaa.2021.106760 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:173047 |