# nLab String bordism

Contents

### Context

#### Cobordism theory

Concepts of cobordism theory

# Contents

## Idea

String bordism theory, $MString$, 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$\,M B$ (B-bordism):

relative bordism theories:

algebraic:

## References

Discussion of relation to the Witten genus:

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

Last revised on November 23, 2020 at 15:14:36. See the history of this page for a list of all contributions to it.