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.

Heegard Floer invariants of Legendrian knots in contact three-manifolds

LISCA, PAOLO;
2009-01-01

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.
2009
Lisca, Paolo; Ozsváth, P; Stipsicz, A; Szabó, Z.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/135025
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