L. Wakelin

collaborators

3 papers

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

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…

math.GT2024

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…