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Open Book Decompositions and Stable Hamiltonian Structures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wendl, Chris |
| Copyright Year | 2009 |
| Abstract | We show that every open book decomposition of a contact 3–manifold can be represented (up to isotopy) by a smooth R–invariant family of pseudoholomorphic curves on its symplectization with respect to a suitable stable Hamiltonian structure. In the planar case, this family survives small perturbations, and thus gives a concrete construction of a stable finite energy foliation that has been used in various applications to planar contact manifolds, including the Weinstein conjecture [ACH05] and the equivalence of strong and Stein fillability [Wenb]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0808.3220v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0808.3220v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0808.3220v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Hamiltonian (quantum mechanics) Perturbation theory Turing completeness |
| Content Type | Text |
| Resource Type | Notes |
