GL-racks and coloring invariants of Legendrian knots
arXiv:2605.16968
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.
17 pages, 4 figures