The first Alexander Z[Z]-modules of surface-links and of virtual links
| dc.creator | Kawauchi, Akio | |
| dc.date | 2009-04-12 | |
| dc.date.accessioned | 2026-07-07T13:03:19Z | |
| dc.date.available | 2026-07-07T13:03:19Z | |
| dc.description | We characterize the first Alexander Z[Z]-modules of ribbon surface-links in the 4-sphere fixing the number of components and the total genus, and then the first Alexander Z[Z]-modules of surface-links in the 4-sphere fixing the number of components. Using the result of ribbon torus-links, we also characterize the first Alexander Z[Z]-modules of virtual links fixing the number of components. For a general surface-link, an estimate of the total genus is given in terms of the first Alexander Z[Z]-module. We show a graded structure on the first Alexander Z[Z]-modules of all surface-links and then a graded structure on the first Alexander Z[Z]-modules of classical links, surface-links and higher-dimensional manifold-links. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 April 2008 | |
| dc.identifier | https://arxiv.org/abs/0904.1853 | |
| dc.identifier | http://arxiv.org/abs/0904.1853 | |
| dc.identifier | Geom. Topol. Monogr. 14 (2008) 353-371 | |
| dc.identifier | doi:10.2140/gtm.2008.14.353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226760 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57Q35, 57Q45 | |
| dc.title | The first Alexander Z[Z]-modules of surface-links and of virtual links | |
| dc.type | text |