114 citations · 266 across the 31 of their papers we have counts for
33 papers
The genus 1 bridge number of satellite knots
Scott A. Taylor, Maggy Tomova
Let be a satellite knot, link, or spatial graph in a 3-manifold that is either or a lens space. Let and denote genus 0 and genus 1 b…
Kirby-Thompson distance for trisections of knotted surfaces
Ryan Blair, Marion Campisi, Scott A. Taylor +1
We adapt work of Kirby-Thompson and Zupan to define an integer invariant of a bridge trisection of a smooth surface in …
Tunnel number and bridge number of composite genus 2 spatial graphs
Scott A. Taylor, Maggy Tomova
Connected sum and trivalent vertex sum are natural operations on genus 2 spatial graphs and, as with knots, tunnel number behaves in interesting ways under these operations. We pro…
The relative -invariant of a compact -manifold
Nickolas A. Castro, Gabriel Islambouli, Maggie Miller +1
In this paper, we introduce the relative -invariant of a smooth, orientable, compact 4-manifold with boundary. This invariant is defined by measu…
Distortion and the bridge distance of knots
Ryan Blair, Marion Campisi, Scott A. Taylor +1
We extend techniques due to Pardon to show that there is a lower bound on the distortion of a knot in proportional to the minimum of the bridge distance and the brid…
Representativity and waist of cable knots
Román Aranda, Seungwon Kim, Maggy Tomova
We study the incompressible surfaces in the exterior of a cable knot and use this to compute the representativity and waist of most cable knots.