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math.DG2001
Hyperbolic monopoles and holomorphic spheres
Michael K. Murray, Paul Norbury, Michael A. Singer
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.
math.DG2001
Yet another construction of the central extension of the loop group
Michael K. Murray, Daniel Stevenson
We give a characterisation of central extensions of a Lie group G by the non-zero complex numbers in terms of a differential two-form on G and a differential one-form on GxG. This…