Legendrian Non-simple Whitehead Doubles Of The Trefoil
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909970566479872 |
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| author | Kıvanç, Saliha |
| author_facet | Kıvanç, Saliha |
| contents | Ozsváth and Stipsicz showed that some Eliashberg-Chekanov twist knots, which are Whitehead doubles of the unknot, are not Legendrian simple. We extend their result by considering some Whitehead doubles of the trefoil: Using properties of knot Floer homology and the distinguished surgery triangle, we show that this family of knots is Legendrian non-simple in the standard contact 3-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Legendrian Non-simple Whitehead Doubles Of The Trefoil Kıvanç, Saliha Geometric Topology Symplectic Geometry 57K10, 57K18, 57R58 Ozsváth and Stipsicz showed that some Eliashberg-Chekanov twist knots, which are Whitehead doubles of the unknot, are not Legendrian simple. We extend their result by considering some Whitehead doubles of the trefoil: Using properties of knot Floer homology and the distinguished surgery triangle, we show that this family of knots is Legendrian non-simple in the standard contact 3-sphere. |
| title | Legendrian Non-simple Whitehead Doubles Of The Trefoil |
| topic | Geometric Topology Symplectic Geometry 57K10, 57K18, 57R58 |
| url | https://arxiv.org/abs/2512.15914 |