Comparison of cobordism theories
| dc.creator | Levine, Marc | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:50:23Z | |
| dc.date.available | 2026-07-07T09:50:23Z | |
| dc.description | Relying on results of Hopkins-Morel, we show that, for $X$ a quasi-projective variety over a field of characteristic zero, the canonical map $Ω_n(X)\to MGL_{2n,n}'(X)$ is an isomorphism. Here $Ω_*(X)$ is the theory of algebraic cobordism defined by Levine-Morel, and $MGL_{*,*}'$ is the Borel-Moore homology version of the theory of algebraic cobordism defined via the algebraic Thom complex in the Morel-Voevodsky motivic stable homotopy category. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0807.2238 | |
| dc.identifier | http://arxiv.org/abs/0807.2238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164924 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14C25; 19E15 | |
| dc.title | Comparison of cobordism theories | |
| dc.type | text |