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math.SG2010★ 17 cited
The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
Steven Sivek
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…
math.SG2010★ 14 cited
A bordered Chekanov-Eliashberg algebra
Steven Sivek
Given a front projection of a Legendrian knot in which has been cut into several pieces along vertical lines, we assign a differential graded algebra to each p…