Torsion in linearized contact homology for Legendrian knots
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909258323329024 |
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| author | Lipshitz, Robert Ng, Lenhard |
| author_facet | Lipshitz, Robert Ng, Lenhard |
| contents | We present examples of Legendrian knots in $\mathbb{R}^3$ that have linearized Legendrian contact homology over $\mathbb{Z}$ containing torsion. As a consequence, we show that there exist augmentations of Legendrian knots over $\mathbb{Z}$ that are not induced by exact Lagrangian fillings, even though their mod $2$ reductions are. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13482 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Torsion in linearized contact homology for Legendrian knots Lipshitz, Robert Ng, Lenhard Symplectic Geometry Geometric Topology 53D42, 53D10, 53D12 We present examples of Legendrian knots in $\mathbb{R}^3$ that have linearized Legendrian contact homology over $\mathbb{Z}$ containing torsion. As a consequence, we show that there exist augmentations of Legendrian knots over $\mathbb{Z}$ that are not induced by exact Lagrangian fillings, even though their mod $2$ reductions are. |
| title | Torsion in linearized contact homology for Legendrian knots |
| topic | Symplectic Geometry Geometric Topology 53D42, 53D10, 53D12 |
| url | https://arxiv.org/abs/2308.13482 |