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

dc.creatorBehrens, Mark
dc.date2005-07-08
dc.date2005-08-16
dc.date.accessioned2026-07-07T05:21:33Z
dc.date.available2026-07-07T05:21:33Z
dc.descriptionUsing 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.
dc.description72 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) exists
dc.identifierhttps://arxiv.org/abs/math/0507184
dc.identifierhttp://arxiv.org/abs/math/0507184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75728
dc.subjectAlgebraic Topology
dc.titleA modular description of the K(2)-local sphere at the prime 3
dc.typetext

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