Fixed point theory and framed cobordism

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.