Orderability, contact non-squeezing, and Rabinowitz Floer homology
We study Liouville fillable contact manifolds $(\Sigma,\xi)$ with non-zero Rabinowitz Floer homology and assign spectral numbers to paths of contactomorphisms. As a consequence we prove that $\widetilde{\mathrm{Cont}_0}(\Sigma,\xi)$ is orderable in the sense of Eliashberg and Polterovich. This provi...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2018
|
| In: |
The journal of symplectic geometry
Year: 2018, Jahrgang: 16, Heft: 6, Pages: 1481-1547 |
| ISSN: | 1540-2347 |
| Online-Zugang: | Resolving-System, Volltext: https://dx.doi/10.4310/JSG.2018.v16.n6.a1
|
| Verfasserangaben: | Peter Albers, Will J. Merry |
| Zusammenfassung: | We study Liouville fillable contact manifolds $(\Sigma,\xi)$ with non-zero Rabinowitz Floer homology and assign spectral numbers to paths of contactomorphisms. As a consequence we prove that $\widetilde{\mathrm{Cont}_0}(\Sigma,\xi)$ is orderable in the sense of Eliashberg and Polterovich. This provides a new class of orderable contact manifolds. If the contact manifold is in addition periodic or a prequantization space |
|---|---|
| Beschreibung: | Doi funktioniert nicht Gesehen am 01.07.2019 |
| Beschreibung: | Online Resource |
| ISSN: | 1540-2347 |