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

• DOI: 10.4310/jsg.2013.v11.n2.a2
• Publication Date: 2013-08-30T23:32:07Z
• Authors: Steven Sivek
• Keywords: Homology; Finite type invariant

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