Desuspension of group actions and the ribbon theorem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1988 English Publisher:Elsevier BVJournal:Topology, volume 27, pages 443-457 (issn: 0040-9383,

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Authors: Kwasik, Sławomir; Schultz, Reinhard;

doi: 10.1016/0040-9383(88)90023-7

Desuspension of group actions and the ribbon theorem

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Abstract

This paper studies the possibility of desuspending an action of the finite cyclic group G on \(S^ n\) which has two fixed points. For \(n>4\), there are two algebraic K-theoretic obstructions at the two fixed points (to finding a cone neighborhood) and the vanishing of these is necessary and sufficient. When \(n=4\), this is not sufficient, and the authors give a weak desuspension result describing the actions and tell how to classify them.

Related Organizations

Purdue University West Lafayette
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Purdue University System
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Tulane University
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University of New Orleans
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Keywords

desuspending an action of a finite cyclic group on \(S^ n\), Finite transformation groups, Geometry and Topology, Groups acting on specific manifolds

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