Computing rotation numbers in open books
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911428782325760 |
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| author | Durst, Sebastian Kegel, Marc |
| author_facet | Durst, Sebastian Kegel, Marc |
| contents | We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new formulas for the computation of the Thurston-Bennequin invariant of such knots and the Euler class and the d3-invariant of the underlying contact structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1801_01034 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Computing rotation numbers in open books Durst, Sebastian Kegel, Marc Geometric Topology Symplectic Geometry 57R17 (Primary) 53D35, 53D10, 57M27 (Secondary) We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new formulas for the computation of the Thurston-Bennequin invariant of such knots and the Euler class and the d3-invariant of the underlying contact structure. |
| title | Computing rotation numbers in open books |
| topic | Geometric Topology Symplectic Geometry 57R17 (Primary) 53D35, 53D10, 57M27 (Secondary) |
| url | https://arxiv.org/abs/1801.01034 |