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ZERO AND INFINITE CURVATURE LIMITS OF HYPERBOLIC MONOPOLES

Published online by Cambridge University Press:  01 November 1997

STUART JARVIS  and
PAUL NORBURY
STUART JARVIS
Affiliation:
Merton College, Oxford OX1 4JD
PAUL NORBURY
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL
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Abstract

We show that the zero curvature limit of the space of hyperbolic monopoles gives the Euclidean monopoles, settling a conjecture of Atiyah. We also study the infinite curvature limit of the space of hyperbolic monopoles, and show that the associated rational maps appear explicitly here.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 6 , November 1997 , pp. 737 - 744
Copyright
© The London Mathematical Society 1997

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