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

zbMath1315.55009arXiv1210.7031MaRDI QIDQ2339190

Hans-Werner Henn, Mark E. Mahowald, Paul G. Goerss

Publication date: 31 March 2015

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7031

zbMATH Keywords

homotopy groups of sphereschromatic homotopy theoryMorava stabilizer group

Mathematics Subject Classification ID

Cohomology of groups (20J06) Stable homotopy theory, spectra (55P42) Stable homotopy of spheres (55Q45)

Related Items (8)

Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\) ⋮ Chromatic homotopy theory is asymptotically algebraic ⋮ The topological modular forms of RP2$\mathbb {R}P^2$ and RP2∧CP2$\mathbb {R}P^2 \wedge \mathbb {C}P^2$ ⋮ A Short Introduction to the Telescope and Chromatic Splitting Conjectures ⋮ Computations of orbits for the Lubin-Tate ring ⋮ The 𝛼-family in the 𝐾(2)-local sphere at the prime 2 ⋮ The centralizer resolution of the 𝐾(2)-local sphere at the prime 2 ⋮ String bordism and chromatic characteristics

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