Cohomology of preimages with local coefficients
| dc.creator | Goncalves, Daciberg Lima | |
| dc.creator | Wong, Peter | |
| dc.date | 2009-04-27 | |
| dc.date.accessioned | 2026-07-07T13:08:58Z | |
| dc.date.available | 2026-07-07T13:08:58Z | |
| dc.description | Let M,N and B\subset N be compact smooth manifolds of dimensions n+k,n and \ell, respectively. Given a map f from M to N, we give homological conditions under which g^{-1}(B) has nontrivial cohomology (with local coefficients) for any map g homotopic to f. We also show that a certain cohomology class in H^j(N,N-B) is Poincare dual (with local coefficients) under f^* to the image of a corresponding class in H_{n+k-j}(f^{-1}(B)) when f is transverse to B. This generalizes a similar formula of D Gottlieb in the case of simple coefficients. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 4 October 2006 | |
| dc.identifier | https://arxiv.org/abs/0904.4177 | |
| dc.identifier | http://arxiv.org/abs/0904.4177 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 1471-1489 | |
| dc.identifier | doi:10.2140/agt.2006.6.1471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228594 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M20, 55S35 | |
| dc.title | Cohomology of preimages with local coefficients | |
| dc.type | text |