nLab B-bordism

Context

Manifolds and cobordisms

manifolds and cobordisms

Contemts

Idea

A $B$-bordism is a cobordism $W$ equipped with extra “topological structure” in the form of a lift of the classifying map $W \to B O$ of its tangent 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.

References

Revised on April 4, 2013 19:05:12 by Diarmuid Crowley? (195.37.209.182)