Ando–Hopkins–Rezk orientation

In the theory of spectra and generalized (co)homology theory in mathematics, the Ando–Hopkins–Rezk orientation (short AHR orientation) is a special spectrum morphism from the string spectrum to that of topological modular forms (tmf). It represents the Witten genus. The AHR orientation is named after Matthew Ando, Michael Hopkins and Charles Rezk, who described it in 2010 based on previous work by Michael Hopkins and Neil Strickland.

Properties

The AHR orientation is surjective on homotopy groups, hence induces surjections .Devalapurkar 2018, Theorem 1.1

See also

Conner–Floyd orientations and Atiyah–Bott–Shapiro orientations and

Literature

References

External links

string orientation of tmf on the nLab