English

Beta-elements and divided congruences

Algebraic Topology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0508466,
  title  = {Beta-elements and divided congruences},
  author = {Jens Hornbostel and Niko Naumann},
  journal= {arXiv preprint arXiv:math/0508466},
  year   = {2007}
}

Comments

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