THE CENTRALIZER RESOLUTION OF THE K(2)-LOCAL SPHERE AT THE PRIME 2

Hans-Werner Henn (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Let G 2 be the Morava stabilizer group at the prime 2. We construct a resolution of the K(2)-local sphere at the prime 2 in terms of certain homotopy fixed point spectra which are closely related to the spectrum of topological modular forms. This resolution is in certain ways analogous to the centralizer resolution of the K(n)-local sphere constructed in [18] if p is an odd prime and n = p − 1.

Domaines: Topologie algébrique [math.AT]

Hans-Werner Henn. THE CENTRALIZER RESOLUTION OF THE K(2)-LOCAL SPHERE AT THE PRIME 2. Homotopy Theory: Tools and Applications, 729, 2019, Contemporary Mathematics, ⟨10.1090/conm/729⟩. ⟨hal-01697478⟩