Damiani, C and Kamada, S (2019) On the group of ring motions of an H-trivial link. Topology and its Applications, 264. pp. 51-65. ISSN 0166-8641
Abstract
In this paper we compute a presentation for the group of ring motions of the split union of a Hopf link with Euclidean components and a Euclidean circle. A key part of this work is the study of a short exact sequence of groups of ring motions of general ring links in R3. This sequence allowed us to build the main result from the previously known case of the ring group with one component, which a particular case of the ring groups studied by Brendle and Hatcher. This work is a first step towards the computation of a presentation for groups of motions of H-trivial links with an arbitrary number of components.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Elsevier B.V. All rights reserved. This is an author produced version of a paper published in Topology and its Applications. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Braid groups; Motion groups; Braided surfaces; Ribbon surfaces; Configuration spaces |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Jul 2019 12:49 |
Last Modified: | 05 Jun 2020 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.topol.2019.06.004 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:148587 |