Milnor operations and the generalized Chern character
| dc.creator | Torii, Takeshi | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:28Z | |
| dc.date.available | 2026-07-07T12:57:28Z | |
| dc.description | We have shown that the n-th Morava K-theory K^*(X) for a CW-spectrum X with action of Morava stabilizer group G_n can be recovered from the system of some height-(n+1) cohomology groups E^*(Z) with G_{n+1}-action indexed by finite subspectra Z. In this note we reformulate and extend the above result. We construct a symmetric monoidal functor F from the category of E^{vee}_*(E)-precomodules to the category of K_{*}(K)-comodules. Then we show that K^*(X) is naturally isomorphic to the inverse limit of F(E^*(Z)) as a K_{*}(K)-comodule. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 18 April 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4708 | |
| dc.identifier | http://arxiv.org/abs/0903.4708 | |
| dc.identifier | Geom. Topol. Monogr. 10 (2007) 383-421 | |
| dc.identifier | doi:10.2140/gtm.2007.10.383 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224938 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N22, 55N20, 55S05 | |
| dc.title | Milnor operations and the generalized Chern character | |
| dc.type | text |