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

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

1994-07-15

arxiv.org/abs/dg-ga/9407005v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1007/BF02108337

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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