Einige Beziehungen zwischen stabiler Homotopietheorie und Zahlentheorie. (Some relations between stable homotopy theory and number theory). (German) Zbl 0702.55012

Singhof, W.

Jahresber. Dtsch. Math.-Ver. 91, No. 2, 55-66 (1989).

This is an expository paper on two applications of number theory to the stable homotopy groups of spheres. Application 1. Bernoulli numbers appear in the description of the image of the Adams e-invariant. Application 2. The theory of formal groups leads to an algebraic number theoretic approach to the \(E^ 2\)-term (the starting point) of the Adams-Novikov spectral sequence for computing the stable groups of spheres.

Reviewer: D.C.Johnson

MSC:

55Q10	Stable homotopy groups
55Q40	Homotopy groups of spheres
55T15	Adams spectral sequences

Keywords:

stable homotopy groups of spheres; Bernoulli numbers; e-invariant; formal groups; Adams-Novikov spectral sequence