nLab
B-bordism

Contemts

Idea

A BB-bordism is a cobordism WW equipped with extra “topological structure” with respect to (B,f)-structure, i.e. in the form of a lift of the classifying map WBOW \to B O of its tangent bundle/stable normal bundle? through some fibration BBOB \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 May 31, 2016 11:31:37 by Urs Schreiber (131.220.184.222)