Contemts

# Contemts

## Idea

A $B$-bordism is a cobordism $W$ equipped with extra “topological structure” with respect to (B,f)-structure, i.e. in the form of a lift of the classifying map $W \to B O$ of its tangent bundle/stable normal bundle? through some fibration $B \to B O$ over the classifying space of the orthogonal group.

Commonly considered are lifts through the Whitehead tower of the orthogonal group), corresponding, in this order, to cobordisms with

etc.

## Examples

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:

algebraic:

## References

Last revised on November 23, 2020 at 14:48:37. See the history of this page for a list of all contributions to it.