L. Wakelin

collaborators

4 papers

math.GT2026

Characterising slopes for hyperbolic knots and Whitehead doubles

Laura Wakelin

A slope $p / q \in Q$ is characterising for a knot $K \subset S^{3}$ if the oriented homeomorphism type of the manifold $S_{K}^{3} (p / q)$ obtained by Dehn surgery…

math.GT2025

On the detection of knotted spheres by their traces in high dimensions

Valentina Bais, Alessio Di Prisa, Daniel Hartman +8

For every $n \geq 4$ , we demonstrate the existence of non-isotopic smooth $(n - 2)$ -knots in $S^{n}$ with diffeomorphic traces by generalising the RBG link construction to all dimensio…

math.GT2025

Effective bounds on characterising slopes for all knots

Patricia Sorya, Laura Wakelin

A slope $p / q$ is characterising for a knot $K \subset S^{3}$ if the orientation-preserving homeomorphism type of the manifold $S_{K}^{3} (p / q)$ obtained by performing De…

math.GT2025

Dehn surgery functions are never injective

Kyle Hayden, Lisa Piccirillo, Laura Wakelin

We prove that, for each fixed rational number $p / q \in Q$ , there exists a pair of distinct knots whose $p / q$ -surgeries are orientation-preservingly homeomorphic. This conf…