3 papers
math.GT2021
On amphichirality of symmetric unions
Feride Ceren Kose
It is still unknown whether there is a nontrivial knot with Jones polynomial equal to that of the unknot. Tanaka shows that if an amphichiral knot is a symmetric union of the unkno…
math.GT2020
A Short Proof of a Theorem of Tanaka On Composite Knots with Symmetric Union Presentations
Feride Ceren Kose
We present a short proof of a theorem of Tanaka that if a composite ribbon knot admits a symmetric union presentation with one twisting region, then it has a non-trivial knot and i…
math.GT2020
Braids, fibered knots, and concordance questions
Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose +5
Given a knot in , one can associate to it a surface diffeomorphism in two different ways. First, an arbitrary knot in can be represented by braids, which can be though…