Lisca, Paolo and Ozsváth, Péter and Stipsicz, András I. and Szabó, Zoltán (2009) Heegaard Floer invariants of Legendrian knots in contact three--manifolds. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 11 (6). pp. 1307-1363. ISSN 1435-9855
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Official URL: http://arxiv.org/abs/0802.0628
Abstract
We define invariants of null–homologous Legendrian and transverse knots in contact 3–manifolds. The invariants are determined by elements of the knot Floer homology of the underlying smooth knot. We compute these invariants, and show that they do not vanish for certain non–loose knots in overtwisted 3–spheres. Moreover, we apply the invariants to find transversely non–simple knot types in many overtwisted contact 3–manifolds.
| Item Type: | Article |
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| Uncontrolled Keywords: | Legendrian knots, transverse knots, Heegaard Floer homology |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2014 10:58 |
| Last Modified: | 06 Feb 2014 10:58 |
| URI: | http://real.mtak.hu/id/eprint/9963 |
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