w4-orientation of EO(2)-theory in nLab

#Contents#
* table of contents
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## Idea

The real form $EO(2)$ of [[ER-theory]] (i.e. [[real-oriented cohomology theory|real oriented]] [[Morava E-theory]]) is [[orientation in generalized cohomology|oriented]] by [[Spin structure]] combined with [[w4-structure]], hence by trivialization of the [[Stiefel-Whitney classes]] $w_1$, $w_2$ and $w_4$. ([Kriz-Sati 04, section 5.2, esp. p. 29](#KrizSati04)).

## Related concepts

[[!include genera and partition functions - table]]

## References

* {#KrizSati04} [[Igor Kriz]], [[Hisham Sati]], _M Theory, Type IIA Superstrings, and Elliptic Cohomology_, Adv.Theor.Math.Phys. 8 (2004) 345-395 ([arXiv:hep-th/0404013](http://arxiv.org/abs/hep-th/0404013))