3 papers
math.GT2024
On the symmetric braid index of ribbon knots
Vitalijs Brejevs, Feride Ceren Kose
We define the symmetric braid index of a ribbon knot to be the smallest index of a braid whose closure yields a symmetric union diagram of , and derive a Khovanov-h…
math.GT2024
Stein-fillability and positivity in the mapping class group
Vitalijs Brejevs, Andy Wand
We construct an infinite family of non-positive open books with once-punctured torus pages that support Stein-fillable contact structures. Combined with a result of Wendl, this all…
math.GT2024
The twisting number of a ribbon knot is bounded below by its doubly slice genus
Vitalijs Brejevs, Peter Feller
The twisting number of a ribbon knot is the minimal number of tangle replacements on the symmetry axis of for any knot that is required to produce a symmetric uni…