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Proves the relation between invariants of Legendrian knots and isomorphic fundamental GL-racks, indicating their classification.
In this paper, we prove that if two Legendrian knots have isomorphic fundamental GL-racks, then either they have the same Thurston-Bennequin number and the same rotation number, or they have the opposite Thurston-Bennequin numbers and opposite rotation numbers.
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Cheng et al. (2026) studied this question.
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