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

John D. S. Jones·Michael K. Murray
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Abstract

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

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John D. S. Jones, Michael K. Murray. 1994-07-15. A note on the index bundle over the moduli space of monopoles. https://doi.org/10.1007/bf02108337

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