L. Wakelin

activity

20232025

most citedCharacterising slopes for hyperbolic knots and Whitehead doubles

2 citations · 2 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.GT2025

On the detection of knots 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. We give two proofs: the first by generalising the RBG l…

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…

math.GT2023★ 2 cited

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…