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arxiv: 1012.5038 · v1 · pith:QS4VH75Lnew · submitted 2010-12-22 · 🧮 math.SG · math.GT

The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant

classification 🧮 math.SG math.GT
keywords contacthomologyknotlegendrianinvariantmaximalthurston-bennequinanother
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We show that there exists a Legendrian knot with maximal Thurston-Bennequin invariant whose contact homology is trivial. We also provide another Legendrian knot which has the same knot type and classical invariants but nonvanishing contact homology.

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