Fixed point theory and framed cobordism

Carlos Prieto

DOI: http://dx.doi.org/10.12775/TMNA.2003.010

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 $\text{\rm FIX}$, which generalizes in a natural way
to an equivariant theory, this sheds light into
possible approaches to equivariant cobordism.

Keywords


Cobordism; fixed point index; generalized cohomology

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