论文标题
拉格朗日的骨架和平面曲线奇点
Lagrangian Skeleta and Plane Curve Singularities
论文作者
论文摘要
我们构建了与隔离平面曲线奇点链路相关的封闭的树木拉格朗日骨骼。这产生了Weinstein Pairs和Weinstein的4个Manifolds与Max-TB Legendrian代表链接的代表相关的Weinstein 4-Manifolds，这产生了封闭的树木lagrangian骨架。我们提供Legendrian和Weinstein不变性的计算，并讨论Fomin-Pylyavskyy-Shustin-Thurston-Thurston群集群集代数相关的fomin-pylyavskyy-shustin-shustin-shustin-shustin-thustskyy tobolatights。最后，我们为某些Legendrian链接的Lagrangian填充物提出了一个猜想的ADE分类，并列出了一些相关问题。
We construct closed arboreal Lagrangian skeleta associated to links of isolated plane curve singularities. This yields closed arboreal Lagrangian skeleta for Weinstein pairs and Weinstein 4-manifolds associated to max-tb Legendrian representatives of algebraic links. We provide computations of Legendrian and Weinstein invariants, and discuss the symplectic topological nature of the Fomin-Pylyavskyy-Shustin-Thurston cluster algebra associated to a singularity. Finally, we present a conjectural ADE-classification for Lagrangian fillings of certain Legendrian links and list some related problems.
