English

The algebra of secondary homotopy operations in ring spectra

Algebraic Topology 2011-05-27 v3

Abstract

The primary algebraic model of a ring spectrum is the ring of homotopy groups. We introduce the secondary model which has the structure of a secondary analogue of a ring. This new algebraic model determines Massey products and cup-one squares. As an application we obtain new derivations of the homotopy ring.

Keywords

Cite

@article{arxiv.math/0610523,
  title  = {The algebra of secondary homotopy operations in ring spectra},
  author = {Hans-Joachim Baues and Fernando Muro},
  journal= {arXiv preprint arXiv:math/0610523},
  year   = {2011}
}

Comments

We have changed the title and we have included new computations and applications, 55 pages