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SPHERICAL MONOPOLES AND HOLOMORPHIC FUNCTIONS
Published online by Cambridge University Press: 18 April 2001
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.
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- © The London Mathematical Society 2001
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