Beta-elements and divided congruences

Mathematics – Algebraic Topology

Scientific paper

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minor changes; final version, to appear in Amer. J. Math

Scientific paper

The f-invariant is an injective homomorphism from the 2-line of the
Adams-Novikov spectral sequence to a group which is closely related to divided
congruences of elliptic modular forms. We compute the f-invariant for two
infinite families of beta-elements and explain the relation of the arithmetic
of divided congruences with the Kervaire invariant one problem.

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