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

2012/10/25 by Paul G. Goerss, Hans Werner Henn, Goerss, Paul G. +5 · 1 citation
Mathematics · #55Q45 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55Q45

paper · pdf · doi:10.48550/arxiv.1210.7031

openalex publication_date 2012/10/25 · arxiv created 2014/05/07 · arxiv updated 2014/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• The α-Family in the K(2)-Local Sphere at the Prime 2

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