A resolution of the K(2)-local sphere at the prime 3
| dc.creator | Goerss, P. | |
| dc.creator | Henn, H. -W. | |
| dc.creator | Mahowald, M. | |
| dc.creator | Rezk, C. | |
| dc.date | 2007-06-14 | |
| dc.date.accessioned | 2026-07-07T08:10:12Z | |
| dc.date.available | 2026-07-07T08:10:12Z | |
| dc.description | We develop a framework for displaying the stable homotopy theory of the sphere, at least after localization at the second Morava K-theory K(2). At the prime 3, we write the spectrum L_{K(2)S^0 as the inverse limit of a tower of fibrations with four layers. The successive fibers are of the form E_2^hF where F is a finite subgroup of the Morava stabilizer group and E_2 is the second Morava or Lubin-Tate homology theory. We give explicit calculation of the homotopy groups of these fibers. The case n=2 at p=3 represents the edge of our current knowledge: n=1 is classical and at n=2, the prime 3 is the largest prime where the Morava stabilizer group has a p-torsion subgroup, so that the homotopy theory is not entirely algebraic. | |
| dc.description | 46 pages, published version | |
| dc.identifier | https://arxiv.org/abs/0706.2175 | |
| dc.identifier | http://arxiv.org/abs/0706.2175 | |
| dc.identifier | Ann. of Math. (2) 162 (2005), no. 2, 777--822 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131760 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55Q45; 55P60 | |
| dc.title | A resolution of the K(2)-local sphere at the prime 3 | |
| dc.type | text |