Journal article

JNR MONOPOLES

Michael K Murray, Paul Norbury

QUARTERLY JOURNAL OF MATHEMATICS | OXFORD UNIV PRESS | Published : 2021

Abstract

We review the theory of JNR, mass 12 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.

University of Melbourne Researchers

Grants

Awarded by Australian Research Council


Awarded by Australian Research Council's Discovery Projects funding scheme


Funding Acknowledgements

MKM acknowledges support under the Australian Research Council's Discovery Projects funding scheme (project number DP180100383). PN acknowledges support under the Australian Research Council's Discovery Projects funding scheme (project numbers DP170102028 and DP180103891).