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SPHERICAL MONOPOLES AND HOLOMORPHIC FUNCTIONS

Published online by Cambridge University Press:  18 April 2001

MARC PAULY
MARC PAULY
Affiliation:
Département de mathématiques, Bâtiment 425, Université Paris 11, F-91405 Orsay, France; e-mail: [email protected]
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Abstract

We show that any gauge-equivalence class of solutions (∇, Φ) of the monopole equation F∇ = *d∇Φ, defined on an open set Ω of S3 (equipped with its standard metric), induces canonically a holomorphic function on the complex 2-dimensional space of all geodesics on S3 entirely contained in Ω.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 83 - 88
Copyright
© The London Mathematical Society 2001

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