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Computable Legendrian invariants. (English) Zbl 1032.53070

In the paper under review the author establishes tools to faciliate 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, he reformulates the DGA in terms of front projections and introduces the characteristic algebra, a new invariant derived from the DGA. He uses his own techniques to distinguish between several previously indistinguishable Legendrian knots and links.

MSC:

53D12 Lagrangian submanifolds; Maslov index
57R17 Symplectic and contact topology in high or arbitrary dimension
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