Article
The algebra of secondary homotopy operations in ring spectra
Author/s | Baues, Hans Joachim
Muro Jiménez, Fernando |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011 |
Deposit Date | 2016-06-06 |
Published in |
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Abstract | The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the
structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R
and ... The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and triple Massey products in π∗,∗R coincide with Toda brackets in π∗R. We also describe the secondary model of a commutative ring spectrum Q from which we derive the cup-one square operation in π∗Q. As an application we obtain for each ring spectrum R new derivations of the ring π∗R. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM2004-01865
EX2004-0616 |
Citation | Baues, H.J. y Muro Jiménez, F. (2011). The algebra of secondary homotopy operations in ring spectra. Proceedings of the London Mathematical Society, 102 (4), 637-696. |
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