THE UNSTABLE EQUIVARIANT FIXED POINT INDEX AND THE EQUIVARIANT DEGREE

A correspondence between the equivariant degree introduced by Ize, Massabó, and Vignoli and an unstable version of the equivariant fixed point index defined by Prieto and Ulrich is shown. With the help of conormal maps and properties of the unstable index, a sum decomposition formula is proved for t...

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Bibliographic Details
Published in:Journal of the London Mathematical Society 2004-02, Vol.69 (1), p.214-230
Main Authors: MARZANTOWICZ, WACŁAW, PRIETO, CARLOS
Format: Article
Language:English
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Summary:A correspondence between the equivariant degree introduced by Ize, Massabó, and Vignoli and an unstable version of the equivariant fixed point index defined by Prieto and Ulrich is shown. With the help of conormal maps and properties of the unstable index, a sum decomposition formula is proved for the index and consequently also for the degree. As an application, equivariant homotopy groups are decomposed as direct sums of smaller groups of fixed orbit types, and a geometric interpretation of each summand is given in terms of conormal maps.
ISSN:0024-6107
1469-7750
DOI:10.1112/S0024610703004721