Reeb chords of Lagrangian slices

التفاصيل البيبلوغرافية
العنوان: Reeb chords of Lagrangian slices
المؤلفون: Chantraine, Baptiste
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Symplectic Geometry, 53D12 (primary), 57R17 (secondary)
الوصف: In this short note we observe that the boundary of a properly embedded compact exact Lagrangian sub-manifolds in a subcritical Weinstein domain $X$ necessarily admits Reeb chords. The existence of this Reeb chords either follows from an obstruction to the deformation of the boundary to a cylinder over a Legendrian sub-manifold or from the fact that the wrapped Floer homology of the Lagrangian vanishes once this boundary have been "collared".
Comment: v2: incorporated some referee comments which expand exposition, section 4 is now section 2. To appear in the Journal of fixed point theory and applications, Viterbo's 60th anniversary edition
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2106.05675
رقم الأكسشن: edsarx.2106.05675
قاعدة البيانات: arXiv