Topological Methods in Nonlinear Analysis

Fixed point theory and framed cobordism

Carlos Prieto

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Abstract

The Thom-Pontryagin construction is studied from the point of view of fixed point situations, and a very natural correspondence between framed cobordism classes and fixed point situations is given. Since fixed point classes integrate a cohomology theory, called ${\rm FIX}$, which generalizes in a natural way to an equivariant theory, this sheds light into possible approaches to equivariant cobordism.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 21, Number 1 (2003), 155-169.

Dates
First available in Project Euclid: 30 September 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1475266278

Mathematical Reviews number (MathSciNet)
MR1980142

Zentralblatt MATH identifier
1047.54027

Citation

Prieto, Carlos. Fixed point theory and framed cobordism. Topol. Methods Nonlinear Anal. 21 (2003), no. 1, 155--169. https://projecteuclid.org/euclid.tmna/1475266278


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References

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Nicolaus Copernicus University, Juliusz P. Schauder Centre for Nonlinear Studies

Topological Methods in Nonlinear Analysis

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