The algebra of secondary homotopy operations in ring spectra

Details The algebra of secondary homotopy operations in ring spectra The algebra of secondary homotopy operations in ring spectra

2006-10-17

arxiv.org/abs/math/0610523v3

Proc. London Math. Soc. 102 (2011) no. 4, 637-696

Mathematics

Algebraic Topology

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

Scientific paper

10.1112/plms/pdq034

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.

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