One parameter families of Legendrian torus knots
| dc.creator | Kálmán, Tamás | |
| dc.date | 2004-09-01 | |
| dc.date.accessioned | 2026-07-07T05:11:42Z | |
| dc.date.available | 2026-07-07T05:11:42Z | |
| dc.description | We compute the Chekanov-Eliashberg contact homology of what we call the Legendrian closure of a positive braid. We also construct an augmentation for each such link diagram. Then we apply the monodromy techniques established in an earlier paper to a certain natural loop in the space L' of positive Legendrian (p,q) torus knots to show that L' has a nontrivial fundamental group, which is mapped non-injectively into the fundamental group of K by the map induced by inclusion (here, K is the space of all smooth positive (p,q) torus knots). This is the first example that Legendrian and classical knots behave differently at the level of one parameter families. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409005 | |
| dc.identifier | http://arxiv.org/abs/math/0409005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72332 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.title | One parameter families of Legendrian torus knots | |
| dc.type | text |