# nLab equivariant bordism homology theory

Contents

### Context

#### Cobordism theory

Concepts of cobordism 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$\,M B$ (B-bordism):

relative bordism theories:

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

Last revised on December 15, 2020 at 07:11:02. See the history of this page for a list of all contributions to it.