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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.13187 |
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| _version_ | 1866910620730785792 |
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| author | Gathercole, Elliot |
| author_facet | Gathercole, Elliot |
| contents | Given an anticanonical divisor in a projective variety, one naturally obtains a monotone Kähler manifold. In this paper, for divisors in a certain class (larger than normal crossings), we construct smoothing families of contact hypersurfaces with controlled Reeb dynamics. We use these to obtain subsets of the divisor complement which are superheavy. In particular, we will show that several examples of Lagrangian skeleta of such divisor complements are superheavy, in cases where applying Lagrangian Floer theory may be intractable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superheavy Skeleta for non-Normal Crossings Divisors Gathercole, Elliot Symplectic Geometry 53D40 Given an anticanonical divisor in a projective variety, one naturally obtains a monotone Kähler manifold. In this paper, for divisors in a certain class (larger than normal crossings), we construct smoothing families of contact hypersurfaces with controlled Reeb dynamics. We use these to obtain subsets of the divisor complement which are superheavy. In particular, we will show that several examples of Lagrangian skeleta of such divisor complements are superheavy, in cases where applying Lagrangian Floer theory may be intractable. |
| title | Superheavy Skeleta for non-Normal Crossings Divisors |
| topic | Symplectic Geometry 53D40 |
| url | https://arxiv.org/abs/2408.13187 |