nLab ER-theory

Idea

The real-oriented cohomology theory-version of Morava E-theory.

Related concepts

• w4-orientation of EO(2)-theory

References

ER-theory was constructed in

• Igor Kriz, Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence, Topology 40 (2001) 317-399 (pdf)

based on Araki’s discussion of BPR-theory.

The orientation in generalized cohomology for $ER$-theory by $w_4$-structure is discussed in

• Igor Kriz, Hisham Sati, M Theory, Type IIA Superstrings, and Elliptic Cohomology, Adv.Theor.Math.Phys. 8 (2004) 345-395 (arXiv:hep-th/0404013)

Some relations to versions of tmf are discussed in

• Mark Mahowald, Charles Rezk, Topological Modular Forms of Level 3, Pure and Applied Math. Quarterly, 5 (2009) 853-872 (arXiv:0812.2009)