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Symplectic homology and periodic orbits near symplectic submanifolds
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ginzburg, Viktor L. |
| Copyright Year | 2004 |
| Abstract | We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequence, we establish the existence of contractible closed characteristics on any thickening of the boundary of the neighborhood. When applied to twisted geodesic flows on compact symplectically aspherical manifolds, this implies the existence of contractible periodic orbits for a dense set of low energy values. Mathematics Subject Classification (2000). 53D40, 37J45. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0210468v1.pdf |
| Alternate Webpage(s) | http://www.ems-ph.org/journals/show_pdf.php?iss=3&issn=0010-2571&rank=5&vol=79 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0210468v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Flow Homologous Gene Homology (biology) Homology modeling Ocular orbit Simplicial homology Symplectic integrator Twisted manifold |
| Content Type | Text |
| Resource Type | Article |
