不可位移接触嵌入和无穷多个叶向相交
Non-displaceable contact embeddings and infinitely many leaf-wise intersections
摘要：
我们使用Lefschetz纤维化构造了一个具有以下性质的接触流形的大家庭：任何边界接触嵌入到一个精确的辛流形满足温和的拓扑假设是不可移位的，一般有无穷多个叶向交点。此外，任何Stein填充都具有无穷维辛同调。
英文摘要：
We construct using Lefschetz fibrations a large family of contact manifolds with the following properties: Any bounding contact embedding into an exact symplectic manifold satisfying a mild topological assumption is non-displaceable and generically has infinitely many leaf-wise intersection points. Moreover, any Stein filling has infinite dimensional symplectic homology.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
