Paula Truol

activity

20212026

most citedThe upsilon invariant at 1 of 3-braid knots

5 citations · 7 across the 11 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.GT2025

Braid positive surgery diagrams

Marc Kegel, Paula Truöl

In this short note, we prove that every closed, oriented, connected 3-manifold arises as Dehn surgery along a braid positive link.

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

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…