nLab String bordism

Redirected from "string cobordism cohomology theory".
Contents

Contents

Idea

String bordism theory, MStringMString, is bordism homology theory for manifolds equipped with string structure.


flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings:

bordism theory\;M(B,f) (B-bordism):

relative bordism theories:

equivariant bordism theory:

global equivariant bordism theory:

algebraic:

References

Discussion of relation to the Witten genus:

Discussion of secondary characteristic classes in string cobordism cohomology theory and in tmf:

String bordism of the classifying space of E 8 E_8 :

Discussion of geometric string bordism in degree 3 as a means to speak (via the Pontryagin-Thom theorem) about the third stable homotopy group of spheres:

Last revised on December 20, 2023 at 14:42:48. See the history of this page for a list of all contributions to it.