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It is shown that Legendrian (resp. transverse) cable links in the 3-spherewith its standard tight contact structure, i.e. links consisting of an unknotand a cable of that unknot, are classified by their oriented link type and theclassical invariants (Thurston-Bennequin invariant and rotation number in theLegendrian case, self-linking number in the transverse case). The analogousresult is proved for torus knots in the 1-jet space of the circle with itsstandard tight contact structure.

LEGENDRIAN KNOTS AND LINKS CLASSIFIED BY CLASSICAL INVARIANTS