4 papers
Legendrian solid-torus links
Lenhard Ng, Lisa Traynor
Differential graded algebra invariants are constructed for Legendrian links in the 1-jet space of the circle. In parallel to the theory for R^3, Poincare-Chekanov polynomials and c…
Invariants of Legendrian Knots and Coherent Orientations
John B. Etnyre, Lenhard L. Ng, Joshua M. Sabloff
We provide a translation between Chekanov's combinatorial theory for invariants of Legendrian knots in the standard contact R^3 and a relative version of Eliashberg and Hofer's Con…
Computable Legendrian invariants
Lenhard L. Ng
We establish tools to facilitate the computation and application of the Chekanov-Eliashberg differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots in…
Legendrian mirrors and Legendrian isotopy
Lenhard L. Ng
We resolve a question of Fuchs and Tabachnikov by showing that there is a Legendrian knot in standard contact three-space with zero Maslov number which is not Legendrian isotopic t…