تقرير
Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds
| العنوان: | Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds |
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| المؤلفون: | Alizadeh, Habib, Atallah, Marcelo S., Cant, Dylan |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry, 53D35, 53D40, 57R17 |
| الوصف: | Given a compact Lagrangian $L$ in a semipositive convex-at-infinity symplectic manifold $W$, we establish a cup-length estimate for the action values of $L$ associated to a Hamiltonian isotopy whose spectral norm is smaller than some $\hbar(L)$. When $L$ is rational, this implies a cup-length estimate on the number of intersection points. This Chekanov-type result generalizes a theorem of Kislev and Shelukhin proving non-displaceability in the case when $W$ is closed and monotone. The method of proof is to deform the pair-of-pants product on Hamiltonian Floer cohomology using the Lagrangian $L$. Comment: 45 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.14752 |
| رقم الأكسشن: | edsarx.2312.14752 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |