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
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We calculate the rational homotopy of the K(2)-local sphere LK(2)​S0 at the prime 3 and confirm Hopkins' chromatic splitting conjecture for p=3 and n=2.
DOI : 10.4171/dm/480
Classification : 55P42
Mots-clés : chromatic stable homotopy theory 
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     author = {Mark Mahowald and Paul G. Goerss and Hans-Werner Henn},
     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},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/480},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/480/}
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Mark Mahowald; Paul G. Goerss; Hans-Werner Henn. 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. doi: 10.4171/dm/480

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