English

$E_n$ ring spectra and Dyer-Lashof operations

Algebraic Topology 2020-02-11 v1

Abstract

This is an expository article about power operations and their connection with the study of highly structured ring spectra. In particular, we discuss Dyer-Lashof operations and their evolving role in the study of iterated loop spaces, EnE_n-algebras, and EnE_n-ring spectra. We will make use of these operations to show that structured ring spectra are heavily constrained. We also discuss some ongoing directions for study. This is a preliminary version of a chapter written for the Handbook of Homotopy Theory.

Cite

@article{arxiv.2002.03889,
  title  = {$E_n$ ring spectra and Dyer-Lashof operations},
  author = {Tyler Lawson},
  journal= {arXiv preprint arXiv:2002.03889},
  year   = {2020}
}

Comments

61 pages

R2 v1 2026-06-23T13:37:03.010Z