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arxiv: math/0611841 · v2 · pith:S2BWTPC6new · submitted 2006-11-27 · 🧮 math.GT · math.SG

Legendrian knots, transverse knots and combinatorial Floer homology

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keywords knotsfloerhomologyinvariantcombinatoriallegendriantransverseapproach
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Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots in the three-sphere, which takes values in link Floer homology. This invariant can be used to also construct an invariant of transverse knots.

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