A note on the index bundle over the moduli space of monopoles
Date
1995
Authors
Jones, J.
Murray, M.
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Journal article
Citation
Communications in Mathematical Physics, 1995; 170(2):445-451
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Abstract
Donaldson has shown that the moduli space of monopoles M<inf>k</inf> is diffeomorphic to the space Rat<inf>k</inf> of based rational maps from the two-sphere to itself. We use this diffeomorphism to give an explicit description of the bundle on Rat<inf>k</inf> obtained by pushing out the index bundle from M<inf>k</inf>. This gives an alternative and more explicit proof of some earlier results of Cohen and Jones. © 1995 Springer-Verlag.