nLab
equivariant bordism homology theory

Context

Cobordism theory

Representation theory

Contents

Idea

The refinement of bordism homology theory to equivariant stable homotopy theory.

flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings:

bordism theory\;M(B,f) (B-bordism):

relative bordism theories:

equivariant bordism theory:

global equivariant bordism theory:

algebraic:

References

Original discussion of equivariant cobordism classes of manifolds:

Original discussion of equivariant Thom spectra:

Original discussion of the relation between equivariant bordism classes of manifolds and equivariant Thom spectra:

Survey:

Discussion in global equivariant homotopy theory is in