Geodesic
Heegard Floer invariants of Legendrian knots in contact three-manifolds
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1307-1363 Cet article a éte moissonné depuis la source EMS Press

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We define invariants of null-homologous Legendrian and transverse knots in contact 3manifolds. 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.
DOI : 10.4171/jems/183
Classification : 57-XX, 00-XX
Keywords: Legendrian knots, transverse knots, Heegaard Floer homology 
@article{JEMS_2009_11_6_a6,
     author = {Paolo Lisca and Peter S. Ozsv\'ath and Andr\'as I. Stipsicz and Zolt\'an Szab\'o},
     title = {Heegard {Floer} invariants of {Legendrian} knots in contact three-manifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {1307--1363},
     year = {2009},
     volume = {11},
     number = {6},
     doi = {10.4171/jems/183},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/183/}
}
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AU  - Peter S. Ozsváth
AU  - András I. Stipsicz
AU  - Zoltán Szabó
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%0 Journal Article
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%A Peter S. Ozsváth
%A András I. Stipsicz
%A Zoltán Szabó
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%J Journal of the European Mathematical Society
%D 2009
%P 1307-1363
%V 11
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%R 10.4171/jems/183
%F JEMS_2009_11_6_a6
Paolo Lisca; Peter S. Ozsváth; András I. Stipsicz; Zoltán Szabó. Heegard Floer invariants of Legendrian knots in contact three-manifolds. Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1307-1363. doi: 10.4171/jems/183

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