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On Chern Characters and the Structure of the unitary group

Published online by Cambridge University Press:  24 October 2008

J. F. Adams
J. F. Adams
Affiliation:
Trinity Hall, Cambridge
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Extract

The purpose of this paper is twofold. In order to state our first aim, let U denote the ‘infinite’ unitary group, and let BU be a classifying space for U. Then Bott (2),(3) has shown that we propose to investigate the ‘Postnikov system’ of BU.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 189 - 199
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Atiyah, M. F., and Hirzebruch, F., Riemann-Roch theorems for differentiable manifolds. Bull. Amer. Math. Soc. 65 (1959), 276–81.CrossRefGoogle Scholar
(2)Bott, R., The stable homotopy of the classical groups. Proc. Nat. Acad. Sci., Wash., 43 (1957), 933–5.CrossRefGoogle ScholarPubMed
(3)Bott, R., The space of loops on a Lie group. Mich. Math. J. 5 (1958), 35–61.CrossRefGoogle Scholar
(4)Hirzebruch, F., Neue Topologische Methode in der Algebraischen Geometrie (Berlin, 1956).Google Scholar
(5)Milnor, J., The Steenrod algebra and its dual. Ann. Math. 67 (1958), 150–71.CrossRefGoogle Scholar
(6)Peterson, F. P., Some remarks on Chern classes. Ann. Math. 69 (1959), 414–20.CrossRefGoogle Scholar
(7)Cartan, H., Sur les groupes d'eilenberg-MacLane H(π, n): I, II. Proc. Nat. Acad. Sci., Wash., 40 (1954), 467–71, 704–7.CrossRefGoogle Scholar
(8)Eilenberg, S., Exposé VIII, Séminaire des Topologie Algebrique E.N.S. (Cartan seminar notes), III (1950–1951).Google Scholar
(9)Serre, J.-P., Homologie singulière des espaces fibrés. Ann. Math. 54 (1951), 425–505.CrossRefGoogle Scholar
(10)Serre, J.-P., Cohomologie modulo 2 des complexes d'Eilenberg-MacLane. Comment. Math. Helv. 27 (1953), 198–232.CrossRefGoogle Scholar