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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.03081 |
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| _version_ | 1866915554064859136 |
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| author | Capovilla-Searle, Orsola |
| author_facet | Capovilla-Searle, Orsola |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03081 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings Capovilla-Searle, Orsola Symplectic Geometry 57K43 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. |
| title | Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings |
| topic | Symplectic Geometry 57K43 |
| url | https://arxiv.org/abs/2201.03081 |