GL-racks and coloring invariants of Legendrian knots
Geometric Topology
2026-05-19 v1
Abstract
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 corollary, we verify that two Legendrian knots with the same classical invariants share equivalent coloring invariants with respect to any given finite GL-rack.
Cite
@article{arxiv.2605.16968,
title = {GL-racks and coloring invariants of Legendrian knots},
author = {Zhiyun Cheng and Zhiyi He},
journal= {arXiv preprint arXiv:2605.16968},
year = {2026}
}
Comments
17 pages, 4 figures