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

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

2010-12-22

arxiv.org/abs/1012.5038v1

Mathematics

Symplectic Geometry

11 pages, 3 figures

Scientific paper

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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