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The mod 2 homology of Sp (n) instantons and the classifying space of the gauge group

Published online by Cambridge University Press:  17 April 2009

Younggi Choi
Affiliation:
Department of Mathematics, Seoul City University, Seoul 130–743, Korea e-mail ychoi@garam.kreonet.re.kr
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We study the mod 2 homology of the moduli space of instantons associated with the prinicpal Sp (n) bundle over the four-sphere and the classifying space of the gauge group using the Serre spectral sequence and the homology operations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Atiyah, M.F. and Bott, R., ‘The Yang-Mills equations over Riemann surfaces’, Philos. Trans. Roy. Soc. London Ser. A 308 (1982), 523615.Google Scholar
[2]Atiyah, M.F. and Jones, J.D.S., ‘Topological aspects of Yang-Mills theory’, Comm. Math. Phys. 61 (1978), 97118.CrossRefGoogle Scholar
[3]Boyer, C.P., Hurtubise, J.C., Mann, B.M. and Milgram, R.J., ‘Topology of instanton moduli spaces, I: The Atiyah–Jones conjecture’, Ann. of Math. 137 (1993), 561609.CrossRefGoogle Scholar
[4]Boyer, C.P. and Mann, B.M., ‘Homology operations on instantons’, J. Differential. Geom. 28 (1988), 423465.CrossRefGoogle Scholar
[5]Boyer, C.P., Mann, B.M. and Waggoner, D., ‘On the homology of SU (n) instantons’, Trans. Amer. Math. Soc. 323 (1991), 529560.Google Scholar
[6]Taubes, C.H., ‘The stable topology of self-dual moduli spaces’, J. Differential Geom. 29 (1989), 163230.CrossRefGoogle Scholar