Computable Legendrian invariants

Details Computable Legendrian invariants Computable Legendrian invariants

2000-11-30

arxiv.org/abs/math/0011265v2

Topology 42 (2003), 55-82

Mathematics

Geometric Topology

24 pages, 13 figures; more examples, section on links added; minor revisions made

Scientific paper

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 standard contact three-space. More specifically, we reformulate the DGA in terms of front projection, 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.

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