Geodesic
An algebraic generalization of image $J$
Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 321-333.

Voir la notice de l'article provenant de la source International Press of Boston

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 $j$.
DOI : 10.4310/HHA.2008.v10.n3.a14
Classification : 55Q45
Keywords: stable homotopy of spheres, Adams-Novikov spectral sequence 
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     author = {Hirofumi Nakai},
     title = {An algebraic generalization of image $J$},
     journal = {Homology, homotopy, and applications},
     pages = {321--333},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n3.a14/}
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Hirofumi Nakai. An algebraic generalization of image $J$. Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 321-333. doi : 10.4310/HHA.2008.v10.n3.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n3.a14/

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