Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-26T00:55:56.516Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
(2)Bott, R.The stable homotopy of the classical groups. Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 933–935.Google Scholar
(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