Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T07:35:23.238Z Has data issue: false hasContentIssue false
  • English
  • Français

Massey products in K-theory

Published online by Cambridge University Press:  24 October 2008

V. P. Snaith
V. P. Snaith
Affiliation:
Emmanuel College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

The aim of this paper is to reformulate the work of Massey(6), and Spanier(9, 10), on higher order cohomology operations, in terms of vector bundles in such a way as to produce geometrically some higher order operations in K-theory, which we will call Massey products.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 2 , September 1970 , pp. 303 - 320
Copyright
Copyright © Cambridge Philosophical Society 1970

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)Atiyah, M. F.K-Theory (Benjamin Press, 1967).Google Scholar
(2)Tammo tom, Dieck, Bordism of G-manifolds and integrality theorems, (Aarhus Univ. preprint series (1968–1909), No. 20).Google Scholar
(3)Seqal, G.Equivariant K-theory. (Publ. Math. I.H.E.S. Paris), 34 (1968), 129–151.Google Scholar
(4)Hodgkin, L.An equivariant Kunneth formula in K-theory. (Warwick University preprint, 1968.)Google Scholar
(5)Maclane, S.Homology (Springer-Verlag, 1963).Google Scholar
(6)Massey, W. S.Some higher order cohomology operations. (Symp. International de Top. Alg. La Univ. de Mexico y UNESCO, Mexico City, 1958.)Google Scholar
(7)Massey, W. S. and Uehara, H. The Jacobi Identity for Whitehead Products (Algebraic Topology and Geometry, Princeton, 1957).Google Scholar
(8)May, J. P.Matric Massey products (mimeographed preprint; Chicago University).Google Scholar
(9)Spanier, E.Secondary operations on mappings and cohomology. Ann. of Math. (2) 75 (1962), 260–282.CrossRefGoogle Scholar
(10)Spanier, E.Higher Order Operations. Trans. Amer. Math. Soc. 109 (1963), 509–539.CrossRefGoogle Scholar