刘维尔极化及其拉格朗日骨架在 4$ 维的刚性

arXiv - MATH - Symplectic Geometry Pub Date : 2024-07-12 DOI:arxiv-2407.09408

Emmanuel Opshtein, Felix Schlenk

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引用次数: 0

摘要

本文的主题是介绍一种适用于某些开放交映流形的新型极化及其应用。这些应用包括回答萨克尔-宋-瓦罗尔古内斯-朱（Sackel-Song-Varolgunes-Zhu）和布伦德尔（Brendel）所提问题的交映嵌入结果、小尺度下的新拉格朗日内可移动交点，以及接触几何中的新勒根德里安壁垒现象。

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Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$

The main theme of this paper is the introduction of a new type of polarizations, suited for some open symplectic manifolds, and their applications. These applications include symplectic embedding results that answer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian non-removable intersections at small scales, and a novel phenomenon of Legendrian barriers in contact geometry.

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arXiv - MATH - Symplectic Geometry

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