Stasheff structures and differentials of the Adams spectral sequence

Details Stasheff structures and differentials of the Adams spectral sequence Stasheff structures and differentials of the Adams spectral sequence

2000-10-23

arxiv.org/abs/math/0010214v1

Mathematics

Algebraic Topology

31 pages

Scientific paper

The Adams spectral sequence was invented by J.F.Adams almost 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 solve this problem in the case of Z/2 coefficients and find inductive formulas for the differentials. It is based on the Stasheff algebra structures, operad methods and functional homology operations.

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