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The K-Theory of the Cotangent Sphere Bundle of ℝPn

Published online by Cambridge University Press:  20 November 2018

Victor Snaith
Victor Snaith*
Affiliation:
The University of Western Ontario, London, Ontario Canada N6A 5B7
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Abstract

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We calculate the topological K-theory of the cotangent sphere bundle of ℝPn and show the manner in which it is detected by the eta invariant.

Keywords

55N2018F25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 1 , 01 March 1986 , pp. 123 - 128
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Atiyah, M. F., K-theory, Benjamin (1968).Google Scholar
2. Gilkey, P. B., The eta invariant and the K-theory of odd-dimensional spherical space forms, Inventions Math. 76 (1984), pp. 421–453.Google Scholar
3. Gilkey, P. B., The eta invariant for even-dimensional Pinc-manifolds, U. of Oregon preprint (1983).Google Scholar