manifolds and cobordisms
cobordism theory, Introduction
A -bordism is a cobordism equipped with extra “topological structure” with respect to (B,f)-structure, i.e. in the form of a lift of the classifying map of its tangent bundle/stable normal bundle? through some fibration 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
fivebrane structure - fivebrane bordism?
etc.
flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings:
bordism theoryM(B,f) (B-bordism):
relative bordism theories:
global equivariant bordism theory:
algebraic:
Last revised on November 23, 2020 at 19:48:37. See the history of this page for a list of all contributions to it.