Computable Legendrian Invariants

  title={Computable Legendrian Invariants},
  author={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 and links in standard contact three-space. More specifically, we reformulate the DGA in terms of front projections, and introduce the characteristic algebra, a new invariant derived from the DGA. We use our techniques to distinguish between several previously indistinguishable Legendrian knots and links. 
Highly Cited
This paper has 41 citations. REVIEW CITATIONS
33 Citations
15 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 33 extracted citations


Publications referenced by this paper.
Showing 1-10 of 15 references

Invariants in contact topology

  • Ya, Eliashberg
  • Doc. Math. J. DMV Extra Volume ICM
  • 1998
Highly Influential
13 Excerpts

Differential algebra of Legendrian links, preprint

  • Yu V Chekanov
  • Differential algebra of Legendrian links…
  • 1999
Highly Influential
4 Excerpts

Coherent orientations and invariants of Legendrian knots, submitted; preprint available as math

  • J Etnyre, L Ng, J Sabloff
  • Coherent orientations and invariants of…
Highly Influential
3 Excerpts

Relative homotopy splitting of differential algebra of Legendrian link, preprint

  • K Michatchev
  • Relative homotopy splitting of differential…
  • 2001

Invariants of Legendrian and transverse knots in the standard contact space

  • D Fuchs, S Tabachnikov
  • Topology
  • 1997

Similar Papers

Loading similar papers…