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arXiv · 2201.03081

Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

Orsola Capovilla-Searle
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Abstract

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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Orsola Capovilla-Searle. 2022-01-09. Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings. https://doi.org/10.2140/agt.2025.25.3225

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