Legendrian Contact Homology in P X R
| dc.creator | Ekholm, Tobias | |
| dc.creator | Etnyre, John | |
| dc.creator | Sullivan, Michael G. | |
| dc.date | 2005-05-21 | |
| dc.date.accessioned | 2026-07-07T05:20:08Z | |
| dc.date.available | 2026-07-07T05:20:08Z | |
| dc.description | A rigorous foundation for the contact homology of Legendrian submanifolds in a contact manifold of the form $P\times \R$ where $P$ is an exact symplectic manifold is established. The class of such contact manifolds include 1-jet spaces of smooth manifolds. As an application, contact homology is used to provide (smooth) isotopy invariants of submanifolds of $\R^n$ and, more generally, invariants of self transverse immersions into $\R^n$ up to restricted regular homotopies. When $n=3$, this application is the first step in extending and providing a contact geometric underpinning for the new knot invariants of Ng | |
| dc.description | 34 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0505451 | |
| dc.identifier | http://arxiv.org/abs/math/0505451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75267 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Legendrian Contact Homology in P X R | |
| dc.type | text |