cobordism theory = manifolds and cobordisms + stable homotopy theory/higher category theory
Concepts of cobordism theory
flavors of cobordism homology/cohomology theories and representing Thom spectra
group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
The 2-periodic version of complex cobordism cohomology theory MU is usually denoted $MP$ (e.g. Lurie lecture 18, example 5).
There is an analogue of the Landweber exact functor theorem for even 2-periodic cohomology theories, with MU replaced by MP (Lurie lecture 18, prop. 11).
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:
Last revised on November 20, 2020 at 10:37:24. See the history of this page for a list of all contributions to it.