The fundamental generalized Legendrian rack of a Legendrian knot determines the Thurston-Bennequin number and rotation number up to a simultaneous sign.
Legendrian rack invariants of Legendrian knots
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Fundamental generalized Legendrian rack and classical invariants
The fundamental generalized Legendrian rack of a Legendrian knot determines the Thurston-Bennequin number and rotation number up to a simultaneous sign.