Bordisme de S1-fibrés vectoriels munis¶de structures supplémentaires
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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.
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