Characteristic Classes on Grassmann Manifolds
| dc.creator | Zhou, Jianwei | |
| dc.creator | Shi, Jin | |
| dc.date | 2008-09-04 | |
| dc.date.accessioned | 2026-07-07T10:00:41Z | |
| dc.date.available | 2026-07-07T10:00:41Z | |
| dc.description | In this paper, we use characteristic classes of the canonical vector bundles and the Poincar\' {e} dualality to study the structure of the real homology and cohomology groups of oriented Grassmann manifold $G(k, n)$. Show that for $k=2$ or $n\leq 8$, the cohomology groups $H^*(G(k,n),{\bf R})$ are generated by the first Pontrjagin class, the Euler classes of the canonical vector bundles. In these cases, the Poincar\' {e} dualality: $H^q(G(k,n),{\bf R}) \to H_{k(n-k)-q}(G(k,n),{\bf R})$ can be given explicitly. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0809.0808 | |
| dc.identifier | http://arxiv.org/abs/0809.0808 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168388 | |
| dc.subject | Functional Analysis | |
| dc.subject | 14M15, 55R10, 55U30, 57T15 | |
| dc.title | Characteristic Classes on Grassmann Manifolds | |
| dc.type | text |