Invariants for Legendrian knots in lens spaces
| dc.creator | Licata, Joan E. | |
| dc.date | 2009-01-27 | |
| dc.date.accessioned | 2026-07-07T12:34:52Z | |
| dc.date.available | 2026-07-07T12:34:52Z | |
| dc.description | In this paper we define invariants for primitive Legendrian knots in lens spaces L(p,q) for q not equal to 1. The main invariant is a differential graded algebra which is computed from a labeled Lagrangian projection of the pair (L(p,q), K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S^1-bundles over Riemann surfaces. The second invariant defined for knots in lens spaces takes the form of a DGA enhanced with a free cyclic group action and can be computed from the p-fold cover of the pair (L(p,q), K). | |
| dc.description | 25 pages, 18 figures | |
| dc.identifier | https://arxiv.org/abs/0901.4226 | |
| dc.identifier | http://arxiv.org/abs/0901.4226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217593 | |
| dc.subject | General Topology | |
| dc.subject | 57R17, 57M27 | |
| dc.title | Invariants for Legendrian knots in lens spaces | |
| dc.type | text |