14 citations · 53 across the 9 of their papers we have counts for
9 papers
Symmetric diagrams for all strongly invertible knots up to 10 crossings
Christoph Lamm
We present a table of symmetric diagrams for strongly invertible knots up to 10 crossings, point out the similarity of transvergent diagrams for strongly invertible knots with symm…
The search for non-symmetric ribbon knots
Christoph Lamm
We present the results of Axel Seeliger's tabulation of symmetric union presentations for ribbon knots with crossing numbers 11 and 12 and exhibit possible examples for ribbon knot…
Deformation of cylinder knots
Christoph Lamm
Knots parametrized in cylinder coordinates by t -> (st, 3 + cos(nt), cos(mt + ϕ)) share properties of Lissajous and billiard knots in a cylinder. We use these 'billiard knots in a…
Fourier Knots
Christoph Lamm
We show that every knot has a checkerbord diagram and that every knot is the closure of a rosette braid. We define Fourier knots of type (n_1, n_2, n_3) as knots which have paramet…
A refined Jones polynomial for symmetric unions
Michael Eisermann, Christoph Lamm
Motivated by the study of ribbon knots we explore symmetric unions, a beautiful construction introduced by Kinoshita and Terasaka in 1957. For symmetric diagrams we develop a two-v…
Equivalence of symmetric union diagrams
Michael Eisermann, Christoph Lamm
Motivated by the study of ribbon knots we explore symmetric unions, a beautiful construction introduced by Kinoshita and Terasaka 50 years ago. It is easy to see that every symmetr…