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Chern characters and higher-order cohomology operations

Published online by Cambridge University Press:  24 October 2008

C. R. F. Maunder
C. R. F. Maunder
Affiliation:
University of Southampton
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Extract

In this paper we shall show how a large number of higher-order cohomology operations (see (4)) may be calculated in suitable spaces by means of Chern characters: the method is an extension of that used by Adams in (1) to relate ‘mod p reductions’ of Chern characters and certain primary operations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 751 - 764
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Adams, J. F.On Chern characters and the structure of the unitary group. Proc. Cambridge Philos. Soc. 57 (1961), 189–199.Google Scholar
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(3)Bott, R.The space of loops on a Lie group. Michigan Math. J. 5 (1958), 35–61.Google Scholar
(4)Maunder, C. R. F.Cohomology operations of the Nth. kind. Proc. London Math. Soc. (3), 13 (1963), 125–154.Google Scholar
(5)Milnor, J.The Steenrod algebra and its dual. Ann. of Math. 67 (1958), 150–171.Google Scholar