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Bundles of Grassmannians and integrality theorems

Published online by Cambridge University Press:  24 October 2008

R. S. Roberts
R. S. Roberts
Affiliation:
Department of Pure Mathematics, University of Liverpool
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Extract

Introduction. For applications in differential topology it is desirable to be able to find restrictions on the possible real and complex vector bundles over a given manifold. These restrictions usually state that the top component of some specific rational multinomial in the various characteristic classes is an integral multiple of the fundamental cocycle. For example, in proving non-embedding or non-immersion theorems (compare (1); (10)) one could test whether the normal bundle is consistent with these integrality conditions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 45 - 53
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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