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Äquivariante whiteheadtorsion

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Abstract

In this note we compute the equivariant Whiteheadgroups WHG(X) introduced by S. Illman. Because a G-homotopy equivalence is in general not isovariant, and a G-diffeomorphism is isovariant, the group WhG(X) does not give the right invariants for the equivariant s-cobordism theorem. So we introduce the isovariant Whiteheadgroup IWhG(X), prove an isovariant s-cobordism theorem and give some applications.

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  1. Mathematisches Institut der Universität Göttingen, Bunsenstraße 3-5, 3400, Göttingen, Bundesrepublik Deutschland

    Henning Hauschild

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  1. Henning Hauschild
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Hauschild, H. Äquivariante whiteheadtorsion. Manuscripta Math 26, 63–82 (1978). https://doi.org/10.1007/BF01167967

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  • DOI: https://doi.org/10.1007/BF01167967

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