The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2

Hans-Werner Henn; Mark Mahowald; Paul G. Goerss

arxiv: 1210.7031 · v3 · pith:S5DKMTTSnew · submitted 2012-10-26 · 🧮 math.AT

The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2

Paul G. Goerss , Hans-Werner Henn , Mark Mahowald This is my paper

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keywords homotopylocalchromaticconjecturelevelprimerationalsphere

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We calculate the rational homotopy and the K(1)-local homotopy of the K(2)-local sphere at the prime 3 and level 2. We use this to verify the chromatic splitting conjecture in this case.

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The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2

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