Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

التفاصيل البيبلوغرافية
العنوان: Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
المؤلفون: Chassé, Jean-Philippe, Hicks, Jeff, Nho, Yoon Jae Nick
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, Mathematics - Symplectic Geometry, 32Q65, 32U05
الوصف: We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on $\mathbb{R}^n\cap (\mathbb{R}^{k}\times \sqrt{-1}\mathbb{R}^{n-k})$ inside $\mathbb{C}^n$. Our construction closely follows the methods used by Duval (2016) and Abouzaid (2021) and corrects an error appearing in the latter approach.
Comment: 23 pages, 2 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2306.04761
رقم الأكسشن: edsarx.2306.04761
قاعدة البيانات: arXiv