# Contents

## Idea

A real form of Morava E-theory.

## Properties

### Orientation

The orientation in $EO(2)$-cohomology of a manifold with spin structure ($w_1 = 0$ and $w_2 = 0$) is essentially obstructed by the 4th Stiefel-Whitney class $w_4$ (Kriz-Sati 04, section 5.2).

## References

The construction and general properties are discussed in

• Po Hu, Igor Kriz, Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence, Topology 40 (2001) (pdf)

The orientation in $EO(2)$-theory is discussed in section 5.2 of

Created on June 17, 2013 at 23:43:49. See the history of this page for a list of all contributions to it.