Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/132678
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Type: Journal article
Title: JNR monopoles
Author: Murray, M.K.
Norbury, P.
Citation: Quarterly Journal of Mathematics, 2021; 72(1-2):387-405
Publisher: Oxford University Press (OUP)
Issue Date: 2021
ISSN: 0033-5606
1464-3847
Statement of
Responsibility: 
Michael K. Murray and Paul Norbury
Abstract: We review the theory of JNR, mass 1/2 hyperbolic monopoles in particular their spectral curves and rational maps. These are used to establish conditions for a spectral curve to be the spectral curve of a JNR monopole and to show that the rational map of a JNR monopole arises by scattering using results of Atiyah. We show that for JNR monopoles the holomorphic sphere has a remarkably simple form and show that this can be used to give a formula for the energy density at infinity. In conclusion, we illustrate some examples of the energy density at infinity of JNR monopoles.
Description: Advance Access published on January 13, 2021
Rights: © The Author(s) 2020. Published by Oxford University Press. All rights reserved.
DOI: 10.1093/qmath/haaa033
Grant ID: http://purl.org/au-research/grants/arc/DP170102028
http://purl.org/au-research/grants/arc/DP180103891
Published version: http://dx.doi.org/10.1093/qmath/haaa033
Appears in Collections:Mathematical Sciences publications

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