# nLab MP

Contents

### Context

#### Cobordism theory

Concepts of cobordism theory

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:

algebraic:

cohomology

# Contents

## Idea

The 2-periodic version of complex cobordism cohomology theory MU is usually denoted $MP$ (e.g. Lurie lecture 18, example 5).

## Properties

### Landweber exact functor therem

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,f) (B-bordism):

relative bordism theories:

algebraic:

## References

Last revised on November 20, 2020 at 10:37:24. See the history of this page for a list of all contributions to it.