Harland, D orcid.org/0000-0002-4110-9673 (2022) Parabolic Higgs bundles and cyclic monopole chains. Journal of Geometry and Physics, 178. 104552. ISSN 0393-0440
Abstract
We formulate a correspondence between SU(2) monopole chains and “spectral data”, consisting of curves in CP¹ x CP¹ equipped with parabolic line bundles. This is the analogue for monopole chains of Donaldson's association of monopoles with rational maps. The construction is based on the Nahm transform, which relates monopole chains to Higgs bundles on the cylinder. As an application, we classify charge k monopole chains which are invariant under actions of Z₂k. We present images of these symmetric monopole chains that were constructed using a numerical Nahm transform.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Monopoles; Nahm transform; Higgs bundles |
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: | 13 Jun 2022 12:18 |
Last Modified: | 25 Jun 2023 23:00 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.geomphys.2022.104552 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:187825 |