3 papers
math.GT2024
Widths of links via diagram colorings
Ricky Lee, Puttipong Pongtanapaisan, Hanh Vo
In this paper, we define invariants of links in terms of colorings of link diagrams and prove that these invariants coincide with various notions of widths of links with respect to…
math.GT2024
Strongly Dense Representations of Hyperbolic 3-Manifold Groups
Ricky Lee
We provide the first examples of strongly dense representations of a hyperbolic 3-manifold group into and i.e. representations where every pair of non-…
math.GT2019
An Algorithmic Definition of Gabai Width
Ricky Lee
We define the Wirtinger width of a knot. Then we prove the Wirtinger width of a knot equals its Gabai width. The algorithmic nature of the Wirtinger width leads to an efficient tec…