nLab
EO(n)

Contents

Idea

A real form of Morava E-theory.

Properties

Orientation

The orientation in EO(2)EO(2)-cohomology of a manifold with spin structure (w 1=0w_1 = 0 and w 2=0w_2 = 0) is essentially obstructed by the 4th Stiefel-Whitney class w 4w_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)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.