Homotopy groups of homotopy fixed point spectra associated to E_n
| dc.creator | Devinatz, Ethan S | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:25Z | |
| dc.date.available | 2026-07-07T12:56:25Z | |
| dc.description | We compute the mod(p) homotopy groups of the continuous homotopy fixed point spectrum E_2^{hH_2} for p>2, where E_n is the Landweber exact spectrum whose coefficient ring is the ring of functions on the Lubin-Tate moduli space of lifts of the height n Honda formal group law over F_{p^n}, and H_n is the subgroup WF^x_{p^n} wreath product Gal(F_{p^n}/F_p) of the extended Morava stabilizer group G_n. We examine some consequences of this related to Brown-Comenetz duality and to finiteness properties of homotopy groups of K(n)_*-local spectra. We also indicate a plan for computing pi_*(E_n^{hH_n} smash V(n-2)), where V(n-2) is an E_{n*}-local Toda complex. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 January 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4290 | |
| dc.identifier | http://arxiv.org/abs/0903.4290 | |
| dc.identifier | Geom. Topol. Monogr. 10 (2007) 131-145 | |
| dc.identifier | doi:10.2140/gtm.2007.10.131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224575 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55Q10, 55T25 | |
| dc.title | Homotopy groups of homotopy fixed point spectra associated to E_n | |
| dc.type | text |