English

E_n Genera

Algebraic Topology 2016-01-20 v1

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.

Keywords

Cite

@article{arxiv.1310.3336,
  title  = {E_n Genera},
  author = {Steven Greg Chadwick and Michael A. Mandell},
  journal= {arXiv preprint arXiv:1310.3336},
  year   = {2016}
}
R2 v1 2026-06-22T01:45:32.812Z