A NOTE ON THE INDEX BUNDLE OVER THE MODULI SPACE OF MONOPOLES

Authors
JONES JDS MURRAY MK
Citation
Jds. Jones et Mk. Murray, A NOTE ON THE INDEX BUNDLE OVER THE MODULI SPACE OF MONOPOLES, Communications in Mathematical Physics, 170(2), 1995, pp. 445-451
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
170
Issue
2
Year of publication
1995
Pages
445 - 451
Database
ISI
SICI code
0010-3616(1995)170:2<445:ANOTIB>2.0.ZU;2-R
Abstract
Donaldson has shown that the moduli space of monopoles M(k) is diffeom orphic 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 earlie r results of Cohen and Jones.