nLab String bordism




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:



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 degreee 3 as a means to speak (via the Pontryagin-Thom theorem) about the third stable homotopy group of spheres:

Last revised on March 16, 2023 at 10:27:45. See the history of this page for a list of all contributions to it.