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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75728Using 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.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 to prove that Diagram (2.11.4) existsAlgebraic TopologyA modular description of the K(2)-local sphere at the prime 3text