Geodesic
The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2
Documenta mathematica, Tome 19 (2014), pp. 1271-1290.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We calculate the rational homotopy of the $K(2)$-local sphere $L_{K(2)}S^0$ at the prime 3 and confirm Hopkins' chromatic splitting conjecture for $p=3$ and $n=2$.
Classification : 55P42
Keywords: chromatic stable homotopy theory 
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     author = {Goerss, Paul G. and Henn, Hans-Werner and Mahowald, Mark},
     title = {The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2},
     journal = {Documenta mathematica},
     pages = {1271--1290},
     publisher = {mathdoc},
     volume = {19},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a3/}
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Goerss, Paul G.; Henn, Hans-Werner; Mahowald, Mark. The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2. Documenta mathematica, Tome 19 (2014), pp. 1271-1290. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a3/