A real form of Morava E-theory.

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).

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

- Igor Kriz, Hisham Sati,
*M-theory, type IIA superstrings, and elliptic cohomology*, Adv. Theor.Math. Phys. 8 (2004), no. 2, 345–394 (arXiv:hep-th/0404013)

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