Rational maps and string topology
| dc.creator | Kallel, Sadok | |
| dc.creator | Salvatore, Paolo | |
| dc.date | 2003-09-07 | |
| dc.date | 2009-03-02 | |
| dc.date.accessioned | 2026-07-07T12:47:43Z | |
| dc.date.available | 2026-07-07T12:47:43Z | |
| dc.description | We apply a version of the Chas-Sullivan-Cohen-Jones product on the higher loop homology of a manifold in order to compute the homology of the spaces of continuous and holomorphic maps of the Riemann sphere into a complex projective space. This product makes sense on the homology of maps from a co-H space to a manifold, and comes from a ring spectrum. We also build a holomorphic version of the product for maps of the Riemann sphere into homogeneous spaces. In the continuous case we define a related module structure on the homology of maps from a mapping cone into a manifold, and then describe a spectral sequence that can compute it. As a consequence we deduce a periodicity and dichotomy theorem when the source is a compact Riemann surface and the target is a complex projective space. | |
| dc.description | This is the version published by Geometry & Topology on 28 October 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0309137 | |
| dc.identifier | http://arxiv.org/abs/math/0309137 | |
| dc.identifier | Geom. Topol. 10 (2006) 1579-1606 | |
| dc.identifier | doi:10.2140/gt.2006.10.1579 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221812 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 58D15, 26C15, 55R20 | |
| dc.title | Rational maps and string topology | |
| dc.type | text |