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On the codegree of negative multiples of the Hopf bundle

Published online by Cambridge University Press:  14 November 2011

M. C. Crabb  and
K. Knapp
M. C. Crabb
Affiliation:
Department of Mathematics, University of Aberdeen, Aberdeen AB9 2TY, Scotland
K. Knapp
Affiliation:
Fachbereich Mathematik, Bergische Universität-GHS Wuppertal, D 5600 Wuppertal 1, West Germany
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Synopsis

Let H be the Hopf line bundle over the complex projective space of complex dimension k – 1. We determine the codegree of the virtual bundle –nH in the range l ≦ n ≦ k. This codegree has geometric significance as a stable James number.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 87 - 107
Copyright
Copyright © Royal Society of Edinburgh 1987

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