Scott A. Taylor

activity

20172024

most citedKirby-Thompson distance for trisections of knotted surfaces

7 citations · 12 across the 4 of their papers we have counts for

collaborators

4 papers

math.GT2024

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 $b_{0}$ and $b_{1}$ denote genus 0 and genus 1 b…

math.GT2022

Primality of theta-curves with proper rational tangle unknotting number one

Kenneth L. Baker, Dorothy Buck, Danielle O'Donnol +2

We show that if a composite $θ$ -curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial $θ$ -cu…

math.GT2020★ 7 cited

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 $L (T)$ of a bridge trisection $T$ of a smooth surface $K$ in $S^{4}$ …

math.GT2017★ 5 cited

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 $R^{3}$ proportional to the minimum of the bridge distance and the brid…