Legendrian Submanifolds in $R^{2n+1}$ and Contact Homology
| dc.creator | Ekholm, Tobias | |
| dc.creator | Etnyre, John | |
| dc.creator | Sullivan, Michael G. | |
| dc.date | 2002-10-08 | |
| dc.date | 2002-12-05 | |
| dc.date.accessioned | 2026-07-07T04:51:45Z | |
| dc.date.available | 2026-07-07T04:51:45Z | |
| dc.description | Contact homology for Legendrian submanifolds in standard contact $(2n+1)$-space is rigorously defined using moduli spaces of holomorphic disks with Lagrangian boundary conditions in complex $n$-space. It provides new invariants of Legendrian isotopy. Using these invariants the theory of Legendrian isotopy is shown to be very rich. For example, infinite families of pairwise non-isotopic Legendrian $n$-spheres and $n$-tori, which are indistinguishable by means of previously known invariants, are constructed. In a sense, the definition of contact homology presented in this paper is a high dimensional analog of the work of Chekanov and others on Legendrian 1-knots in 3-space. | |
| dc.description | One example removed, minor updates to text | |
| dc.identifier | https://arxiv.org/abs/math/0210124 | |
| dc.identifier | http://arxiv.org/abs/math/0210124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65219 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Legendrian Submanifolds in $R^{2n+1}$ and Contact Homology | |
| dc.type | text |