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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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