2 papers
math.GT2026
GL-racks and coloring invariants of Legendrian knots
Zhiyun Cheng, Zhiyi He
In this paper, we explore the algebraic structure of GL-racks, and demonstrate that finite GL-racks decompose canonically into permutation GL-racks and block GL-racks. As a corolla…
math.GT2025
Fundamental generalized Legendrian rack and classical invariants
Zhiyun Cheng, Zhiyi He
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…