Abstract

Traynor ([11]) has described an example of a two-component Legendrian "circular helix link" Λ0 ⊔ Λ1 in the 1-jet space J1(S1) of the circle (with its canonical contact structure) that is topologically but not Legendrian isotopic to the link Λ1 ⊔ Λ0. We give a complete classification of the Legendrian realizations of this topological link type, as well as all other "cable links" in J1(S1).

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