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THE UNSTABLE EQUIVARIANT FIXED POINT INDEX AND THE EQUIVARIANT DEGREE

Published online by Cambridge University Press:  28 January 2004

WACŁAW MARZANTOWICZ  and
CARLOS PRIETO
WACŁAW MARZANTOWICZ
Affiliation:
Faculty of Mathematics and Computer Science, UAM, Poznań, [email protected]
CARLOS PRIETO
Affiliation:
Instituto de Matemáticas, UNAM, 04510 México, DF, [email protected]
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Abstract

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.

Keywords

54H25 (primary)55M2055M2555N91 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 214 - 230
Copyright
The London Mathematical Society 2004

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