Double-point enhanced GRID invariants and Lagrangian cobordisms
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908360453914624 |
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| author | Lewis, Ashton Ojakli, Zachary Petkova, Ina Shapiro, Benjamin |
| author_facet | Lewis, Ashton Ojakli, Zachary Petkova, Ina Shapiro, Benjamin |
| contents | We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectization of the standard contact structure on $\mathbb R^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double-point enhanced GRID invariants and Lagrangian cobordisms Lewis, Ashton Ojakli, Zachary Petkova, Ina Shapiro, Benjamin Geometric Topology Symplectic Geometry 57K33 (primary), 57K18, 57R90 (secondary) We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectization of the standard contact structure on $\mathbb R^3$. |
| title | Double-point enhanced GRID invariants and Lagrangian cobordisms |
| topic | Geometric Topology Symplectic Geometry 57K33 (primary), 57K18, 57R90 (secondary) |
| url | https://arxiv.org/abs/2505.07599 |