تقرير
Extensible positive loops and vanishing of symplectic cohomology
| العنوان: | Extensible positive loops and vanishing of symplectic cohomology |
|---|---|
| المؤلفون: | Cant, Dylan, Hedicke, Jakob, Kilgore, Eric |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry, 53D40, 53D35, 55U99 |
| الوصف: | The symplectic cohomology of certain symplectic manifolds $W$ with non-compact ends modelled on the positive symplectization of a compact contact manifold $Y$ is shown to vanish whenever there is a positive loop of contactomorphisms of $Y$ which extends to a loop of Hamiltonian diffeomorphisms of $W$. An open string version of this result is also proved: the wrapped Floer cohomology of a Lagrangian $L$ with ideal Legendrian boundary $\Lambda$ is shown to vanish if there is a positive loop $\Lambda_{t}$ based at $\Lambda$ which extends to an exact loop of Lagrangians based at $L$. Various examples of such loops are considered. Applications include the construction of exotic compactly supported symplectomorphisms and exotic fillings of $\Lambda$. Comment: 45 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.18267 |
| رقم الأكسشن: | edsarx.2311.18267 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |