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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We calculate the rational homotopy of the K(2)-local sphere L_K(2)S⁰ at the prime 3 and confirm Hopkins' chromatic splitting conjecture for p = 3 and n = 2.

Original language	English (US)
Pages (from-to)	1271-1290
Number of pages	20
Journal	Documenta Mathematica
Volume	19
Issue number	2014
State	Published - 2014

Keywords

Chromatic
Homotopy theory
Stable

ASJC Scopus subject areas

General Mathematics

Cite this

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

abstract = "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.",

keywords = "Chromatic, Homotopy theory, Stable",

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T1 - The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2

AU - Goerss, Paul G.

AU - Henn, Hans Werner

AU - Mahowald, Mark

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Chromatic

KW - Homotopy theory

KW - Stable

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M3 - Article

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JO - Documenta Mathematica

JF - Documenta Mathematica

IS - 2014

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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