论文标题

用填充物构建的同型米尔诺纤维中的精确lagrangian tori

Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

论文作者

Capovilla-Searle, Orsola

论文摘要

我们使用精确的Lagrangian填充物和Weinstein Handerbody图表,以$ 4 $二维的Milnor纤维构建许多不同的Lagrangian Tori,其孤立的超表面奇异性具有积极的方式。我们还提供了标准的概括,鉴于明显的Weinstein Handlebody图,Weinstein $ 4 $ MANIFOLD的符合性同源性是不变的。

We use exact Lagrangian fillings and Weinstein handlebody diagrams to construct infinitely many distinct exact Lagrangian tori in $4$-dimensional Milnor fibers of isolated hypersurface singularities with positive modality. We also provide a generalization of a criterion for when the symplectic homology of a Weinstein $4$-manifold is non-vanishing given an explicit Weinstein handlebody diagrams.

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