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arXiv · 2507.18500

Fundamental generalized Legendrian rack and classical invariants

Zhiyun Cheng·Zhiyi He
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Abstract

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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Zhiyun Cheng, Zhiyi He. 2025-07-24. Fundamental generalized Legendrian rack and classical invariants. https://arxiv.org/abs/2507.18500

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