E_n Genera

Abstract

Let R be an E_2 ring spectrum with zero odd dimensional homotopy groups. Every map of ring spectra MU to R is represented by a map of E_2 ring spectra. If 2 is invertible in pi_0(R), then every map of ring spectra MSO to R is represented by a map of E_2 ring spectra.

References in corpus (3)

• The Multiplication on BP
• For Complex Orientations Preserving Power Operations, p-typicality is Atypical
• Homology of E_n Ring Spectra and Iterated THH

Cited by in corpus (6)

• An algebraic model for commutative HZ-algebras
• A simple universal property of Thom ring spectra
• Exotic Multiplications on Periodic Complex Bordism
• Multiplicative Structure in the Stable Splitting of $\Omega S{L}_n(\mathbb{C})$
• Algebraic K-theory of elliptic cohomology
• Topological Hochschild homology of truncated Brown-Peterson spectra I