Equivariance of generalized Chern characters
| dc.creator | Torii, Takeshi | |
| dc.date | 2009-04-10 | |
| dc.date.accessioned | 2026-07-07T13:02:24Z | |
| dc.date.available | 2026-07-07T13:02:24Z | |
| dc.description | In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative G_{n+1}-equivariant natural transformation Θfrom some height (n+1) cohomology theory E^*(-) to the height n cohomology theory K^*(-)\hat{\otimes}_F L, where K^*(-) is essentially the n-th Morava K-theory. As a corollary, it is shown that the G_n-module K^*(X) can be recovered from the G_{n+1}-module E^*(X). We also construct a lift of Θto a natural transformation between characteristic zero cohomology theories. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1647 | |
| dc.identifier | http://arxiv.org/abs/0904.1647 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226439 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N22; 55P43; 55S05 | |
| dc.title | Equivariance of generalized Chern characters | |
| dc.type | text |