A modular description of the K(2)-local sphere at the prime 3

Details A modular description of the K(2)-local sphere at the prime 3 A modular description of the K(2)-local sphere at the prime 3

2005-07-08

arxiv.org/abs/math/0507184v2

Mathematics

Algebraic Topology

72 pages, 1 figure, to appear in Topology. Typos in Diagrams (2.11.2) and (2.11.3) fixed, and 2 lemmas added in Section 2.11 t

Scientific paper

Using degree N isogenies of elliptic curves, we produce a spectrum Q(N). This
spectrum is built out of spectra related to tmf. At p=3 we show that the
K(2)-local sphere is built out of Q(2) and its K(2)-local Spanier-Whitehead
dual. This gives a conceptual reinterpretation a resolution of Goerss, Henn,
Mahowald, and Rezk.

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