Beta-elements and divided congruences

2005/08/24 by Hornbostel, Jens, Naumann, Niko
#11F33 #55N34 #55Q10 #55T15 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0508466

Abstract

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.

Related

• beta-family congruences and the f-invariant
• On the geometry of the f-invariant
• On the f-invariant of products
• Explicit modular forms from the divided beta family
• Modular invariance, characteristic numbers and η invariants