• Corpus ID: 15099253


  • A.
  • Published 1964
  • Mathematics
The purpose of the paper is to undertake a detailed investigation of the role of Clifford algebras and spinors in the K&theory of real vector bundles. On the one hand the use of Clifford algebras throws considerable light on the periodicity theorem for the stable orthogonal group. On the other hand the use of spinors seems essential in some of the finer points of the KO-theory which centre round the Thorn isomorphism. As far as possible we have endeavoured to make this paper self-contained… 

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  • R. Bott
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1957
The index of s, denoted by X(s), is the properly counted sum of the conjugate points of P in the interior of s which occurs as the index of some geodesic from P to Q in the class h.

Quelques remarques sur les théorèmes de périodicité

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