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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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(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