E_\infty-structure and differentials of the Adams spectral sequence

Details E_\infty-structure and differentials of the Adams spectral sequence E_\infty-structure and differentials of the Adams spectral sequence

2001-07-02

arxiv.org/abs/math/0107006v2

Mathematics

Algebraic Topology

Scientific paper

The Adams spectral sequence was invented by J.F.Adams fifty years ago for calculations of stable homotopy groups of topological spaces and in particular of spheres. The calculation of differentials of this spectral sequence is one of the most difficult problem of Algebraic Topology. Here we consider an approach to find inductive formulas for the differentials. It is based on the A_\infty-structures, E_\infty-structures and functional homology operations. As This approach it will be applied to the Kervaire invariant problem.

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