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manuscripta mathematica

, Volume 105, Issue 2, pp 175–199 | Cite as

Bordisme de S1-fibrés vectoriels munis¶de structures supplémentaires

  • Inés Saihi

Abstract:

Bordism of S 1-vector bundles with additional structures We give isomorphisms between equivariant bordism groups of certain S 1-vector bundles and bordism groups of suitable “classifying” spaces determined by certain caracterestic classes. In the spinorial case, we detect the even or odd type of the S 1-action and give a relationship with elleptic homology. Furthermore, we define a new type of $S^1$-actions, depending on the actions and the given slice type. This new type differs, in certain cases, from the classical odd or even type of S 1-actions on spinorial manifolds.

Mathematics Subject Classification (2000): 55N22, 55R91 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Inés Saihi
    • 1
  1. 1.Département de Mathématiques et Informatique, Ecole Supérieure des Sciences et Techniques de Tunis, 5, avenue Taha Hussein Tunis, B. P. 56, Bab Menara 1008, Tunis. e-mail: Ines.Saihi@esstt.rnu.tnTN

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