Homology, Homotopy and Applications
Volume 10 (2008)
Proceedings of a Conference in Honor of Douglas C. Ravenel and W. Stephen Wilson
An algebraic generalization of image $J$
Pages: 321 – 333
As is well known, the image of the $J$-homomorphism in the stable homotopy groups of spheres is described in terms of the first line of the Adams-Novikov $E_2$-term. In this paper we consider an algebraic analogue of the image of $J$ using the spectrum $T(m)_(j)$ defined by Ravenel and determine the Adams-Novikov first line for small values of $j$.
stable homotopy of spheres; Adams-Novikov spectral sequence
2010 Mathematics Subject Classification