Heegaard Floer invariants of Legendrian knots in contact three--manifolds

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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.
70 pages, 30 figures

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Symplectic Geometry, Geometric Topology, 57M27; 57R58

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http://salesiana.dossiersoluciones.com/handle/123456789/227682

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0628
 http://arxiv.org/abs/0802.0628

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arXiv