Scott A. Taylor

collaborators

2 papers

math.GT2025

Hyperbolic Brunnian Theta Curves

Luis Celso Chan Palomo, Scott A. Taylor

A nontrivial $θ$ -curve in $S^{3}$ is Brunnian if each of its cycles is the unknot. We show that if the exterior of a Brunnian $θ$ -curve is atoroidal, then it does not contain an esse…

math.GT2025

Closures of 1-tangles and annulus twists

Scott A. Taylor

A 1-tangle is a properly embedded arc $ψ$ in an unknotted solid torus $V$ in $S^{3}$ . Attaching an arc $ϕ$ in the complementary solid torus $W$ to its endpoints creates a knot $K (ϕ)$ …