nLab
String bordism

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: