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A note on the index bundle over the moduli space of monopoles

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Abstract

Donaldson has shown that the moduli space of monopolesM k is diffeomorphic to the spaceRat k of based rational maps from the two-sphere to itself. We use this diffeomorphism to give an explicit description of the bundle onRat k obtained by pushing out the index bundle fromM k . This gives an alternative and more explicit proof of some earlier results of Cohen and Jones.

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV 4 7AL, Coventry, UK

    John D. S. Jones

  2. Department of Pure Mathematics, The University of Adelaide, 5005, Adelaide, SA, Australia

    Michael K. Murray

Authors
  1. John D. S. Jones
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  2. Michael K. Murray
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Communicated by A. Jaffe

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Jones, J.D.S., Murray, M.K. A note on the index bundle over the moduli space of monopoles. Commun.Math. Phys. 170, 445–451 (1995). https://doi.org/10.1007/BF02108337

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  • DOI: https://doi.org/10.1007/BF02108337

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