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Hypersurfaces Framées et L'Élément β1, de Toda

Published online by Cambridge University Press:  20 November 2018

A. Baker ,
N. Ray  and
L. Schwartz
A. Baker
Affiliation:
Department of Mathematics, the University Manchester, M139PL, Great-Britain
N. Ray
Affiliation:
Department of Mathematics, the University Manchester, M139PL, Great-Britain
L. Schwartz
Affiliation:
UA 1169 DU C.N.R.S. Université Paris XI, Bâtiment 425 91405 Orsay Cedex, France
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Résumé

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L'objet de cet article est de construire un modèle pour l'élément β1, de Toda (premier élément non nul de la composante p - primaire de l'homotopie stable des sphères qui n'est pas dans l'image du J-homomorphisme, p ≠ 2). Le modèle construit possède en outre la propriété de se plonger, comme variété différentiable, en codimension 1.

La construction, basée sur la J-théorie et la chirurgie, exhibe en outre des complexes cellulaires satisfaisant à certaines conditions de plongement, répondant partiellement à un problème posé par le 2e et le 3e auteur.

Keywords

primary 57R15Secondary 55Q45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 215 - 222
Copyright
Copyright © Canadian Mathematical Society 1987

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