Paula Truol

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

Non-complex cobordisms between quasipositive knots

Maciej Borodzik, Paula Truöl

We show that for every genus $g \geq 0$ , there exist quasipositive knots $K_{0}^{g}$ and $K_{1}^{g}$ such that there is a cobordism of genus $g = ∣ g_{4} (K_{1}^{g}) - g_{4} (K_{0}^{g}) ∣$ between $K_{0}^{g}$ and…

math.GT2024

Algorithms in 4-manifold topology

Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28

We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…