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Characteristic classes for complex bundles with trivial real reduction
Author(s):
Duan
Haibao
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2465-2471.
MSC (2000):
Primary 55R40;
Secondary 55P62
Posted:
March 29, 2000
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Abstract:
This note concerns itself with a theory of characteristic classes for those complex bundles whose real reductions are trivial.
References:
- [1]
- A. Borel, Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts, Annals of Math., Vol. 57(1953), 115-207. MR 14:490e
- [2]
- P.A. Griffiths and J.W. Morgan, Rational homotopy theory and differential forms, Birkhauser Boston, 1981. MR 82m:55014
- [3]
- C.E. Miller, The topology of rotation groups, Annals of Math., Vol. 57(1953), 90-114. MR 14:673b
- [4]
- J.W. Milnor and J.D. Stasheff, Characteristic classes, Ann. Math. Studies, No. 76, Princeton University Press, 1974. MR 55:13428
- [5]
- R.M. Switzer, Algebraic topology-homotopy and homology, Springer-Verlag Berlin-Heidelberg, 1975. MR 52:6695
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Additional Information:
Duan
Haibao
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, People's Republic of China
Email:
dhb@sxx0.math.pku.edu.cn
DOI:
10.1090/S0002-9939-00-05734-8
PII:
S 0002-9939(00)05734-8
Keywords:
Vector bundles,
characteristic classes,
cohomology and rational homotopy theory
Received by editor(s):
September 11, 1997
Posted:
March 29, 2000
Additional Notes:
This work was supported by NSFC Project 1977001.
Communicated by:
Ralph Cohen
Copyright of article:
Copyright
2000,
American Mathematical Society
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