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Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

2022/01/09 by Orsola Capovilla‐Searle, Capovilla-Searle, Orsola
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2201.03081

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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