Holomorphic disks and knot invariants
| dc.creator | Ozsvath, Peter | |
| dc.creator | Szabo, Zoltan | |
| dc.date | 2002-09-06 | |
| dc.date | 2003-06-11 | |
| dc.date.accessioned | 2026-07-07T06:33:40Z | |
| dc.date.available | 2026-07-07T06:33:40Z | |
| dc.description | We define a Floer-homology invariant for knots in an oriented three-manifold, closely related to the holomorphic disk Floer homologies for three-manifolds defined in an earlier paper. We set up basic properties of these invariants, including an Euler characteristic calculation, behaviour under connected sums. Then, we establish a relationship with $HF^+$ for surgeries along the knot. Applications include calculation of $HF^+$ of three-manifolds obtained by surgeries on some special knots in $S^3$, and also calculation of $HF^+$ for certain simple three-manifolds which fiber over the circle. | |
| dc.description | 64 pages, 17. Revised version | |
| dc.identifier | https://arxiv.org/abs/math/0209056 | |
| dc.identifier | http://arxiv.org/abs/math/0209056 | |
| dc.identifier | Adv. Math. 186 (2004), no. 1, 58--116. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99275 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.title | Holomorphic disks and knot invariants | |
| dc.type | text |