cobordism theory = manifolds and cobordisms + stable homotopy theory/higher category theory
Concepts of cobordism theory
normally framed submanifolds$\leftrightarrow$ Cohomotopy
normally oriented submanifolds$\leftrightarrow$ maps to Thom space
complex cobordism cohomology 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:
global equivariant bordism theory:
algebraic:
The equivariant version of framed bordism theory, represented by the equivariant sphere spectrum, dually given by equivariant stable Cohomotopy.
flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings:
bordism theory$\,M B$ (B-bordism):
relative bordism theories:
global equivariant bordism theory:
algebraic:
Proof that equivariant framed bordism homology theory is co-represented by the equivariant sphere spectrum:
Created on December 10, 2020 at 15:19:26. See the history of this page for a list of all contributions to it.