The Legendrian knot complement problem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917255338524672 |
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| author | Kegel, Marc |
| author_facet | Kegel, Marc |
| contents | We prove that every Legendrian knot in the tight contact structure of the 3-sphere is determined by the contactomorphism type of its exterior. Moreover, by giving counterexamples we show this to be not true for Legendrian links in the tight 3-sphere. On the way a new user-friendly formula for computing the Thurston-Bennequin invariant of a Legendrian knot in a surgery diagram is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1604_05196 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The Legendrian knot complement problem Kegel, Marc Geometric Topology Symplectic Geometry 57M25 (Primary) 53D10, 57R65 (Secondary) We prove that every Legendrian knot in the tight contact structure of the 3-sphere is determined by the contactomorphism type of its exterior. Moreover, by giving counterexamples we show this to be not true for Legendrian links in the tight 3-sphere. On the way a new user-friendly formula for computing the Thurston-Bennequin invariant of a Legendrian knot in a surgery diagram is given. |
| title | The Legendrian knot complement problem |
| topic | Geometric Topology Symplectic Geometry 57M25 (Primary) 53D10, 57R65 (Secondary) |
| url | https://arxiv.org/abs/1604.05196 |