Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence

Details Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence

2008-09-16

arxiv.org/abs/0809.2627v2

Mathematics

Category Theory

101 pages

Scientific paper

We describe the dualization of the algebra of secondary cohomology operations
in terms of generators extending the Milnor dual of the Steenrod algebra. In
this way we obtain explicit formulae for the computation of the E_3-term of the
Adams spectral sequence converging to the stable homotopy groups of spheres.

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