Oriented cohomology, Borel-Moore homology and algebraic cobordism
| 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 | We examine various versions of oriented cohomology and Borel-Moore homology theories in algebraic geometry and put these two together in the setting of an "oriented duality theory", a generalization of Bloch-Ogus twisted duality theory. This combines and exends work of Panin and Mocanasu. We apply this to give a Borel-Moore homology version $MGL'_{*,*}$ of Voevodsky's $MGL^{*,*}$-theory, and a natural map $\vartheta:Ω_*\to MGL'_{2*,*}$, where $Ω_*$ is the algebraic cobordism theory defined by Levine-Morel. We conjecture that $\vartheta$ is an isomorphism and describe a program for proving this conjecture. | |
| dc.description | 47 pages. To appear in Michigan Math. J | |
| dc.identifier | https://arxiv.org/abs/0807.2257 | |
| dc.identifier | http://arxiv.org/abs/0807.2257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164926 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C25; 19E15 | |
| dc.title | Oriented cohomology, Borel-Moore homology and algebraic cobordism | |
| dc.type | text |