Fundamental generalized Legendrian rack and classical invariants
Geometric Topology
2025-07-25 v1
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.
Keywords
Cite
@article{arxiv.2507.18500,
title = {Fundamental generalized Legendrian rack and classical invariants},
author = {Zhiyun Cheng and Zhiyi He},
journal= {arXiv preprint arXiv:2507.18500},
year = {2025}
}
Comments
11 pages, 6 figures