The genus 1 bridge number of satellite knots

Scott A. Taylor, Maggy Tomova

Let $T$ be a satellite knot, link, or spatial graph in a 3-manifold $M$ that is either $S^3$ or a lens space. Let ${\mathfrak{b}}_0$ and ${\mathfrak{b}}_1$ denote genus 0 and genus 1 b…