3 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
On chain link surgeries bounding rational homology balls and -slice 3-braid closures
Vitalijs Brejevs, Jonathan Simone
We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently d…
Stein-fillable open books of genus one that do not admit positive factorisations
Vitalijs Brejevs, Andy Wand
We construct an infinite family of genus one open book decompositions supporting Stein-fillable contact structures and show that their monodromies do not admit positive factorisati…
On slice alternating 3-braid closures
Vitalijs Brejevs
We construct ribbon surfaces of Euler characteristic one for several infinite families of alternating 3-braid closures. We also use a twisted Alexander polynomial obstruction to co…