Cavallo, Alberto (2018) On loose Legendrian knots in rational homology spheres. TOPOLOGY AND ITS APPLICATIONS, 235. pp. 339-345. ISSN 0166-8641
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Official URL: https://doi.org/10.1016/j.topol.2017.12.025
Abstract
We prove that loose Legendrian knots in a rational homology contact 3-sphere, satisfying some additional hypothesis, are Legendrian isotopic if and only if they have the same classical invariants. The proof requires a result of Dymara on loose Legendrian knots and Eliashberg's classification of overtwisted contact structures on 3-manifolds. © 2017 Elsevier B.V.
| Item Type: | Article |
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| Uncontrolled Keywords: | Loose; Legendrian knots; Legendrian invariants; Disjoint union; Contact manifolds |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 26 Mar 2018 08:28 |
| Last Modified: | 26 Mar 2018 08:28 |
| URI: | http://real.mtak.hu/id/eprint/78815 |
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