Symplectic 2-handles and transverse links
| dc.creator | Gay, David T. | |
| dc.date | 1999-12-17 | |
| dc.date | 2001-05-25 | |
| dc.date.accessioned | 2026-07-07T05:32:21Z | |
| dc.date.available | 2026-07-07T05:32:21Z | |
| dc.description | A standard convexity condition on the boundary of a symplectic manifold involves an induced positive contact form (and contact structure) on the boundary; the corresponding concavity condition involves an induced negative contact form. We present two methods of symplectically attaching 2-handles to convex boundaries of symplectic 4-manifolds along links transverse to the induced contact structures. One method results in concave boundaries and depends on a fibration of the link complement over S^1; in this case the handles can be attached with any framing larger than a lower bound determined by the fibration. The other method results in a weaker convexity condition on the new boundary (sufficient to imply tightness of the new contact structure), and in this case the handles can be attached with any framing less than a certain upper bound. These methods supplement methods developed by Weinstein and Eliashberg for attaching symplectic 2-handles along Legendrian knots. | |
| dc.description | 22 pages, 5 figures, AMS-Latex. Accepted for publication in the Transactions of the American Mathematical Society. Current version is identical to the final version submitted to Transactions, using amsart document class. Abstract slightly expanded | |
| dc.identifier | https://arxiv.org/abs/math/9912145 | |
| dc.identifier | http://arxiv.org/abs/math/9912145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79629 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17, 57R65 (Primary) 57M99 (Secondary) | |
| dc.title | Symplectic 2-handles and transverse links | |
| dc.type | text |