G. Bellettini

works on

chirality 1 handlebody-knots 1 spatial graphs 1 symmetry groups 1 tangle replacement 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

3 papers

math.GT2026

Handlebody-knots obtained by tangle replacement

Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1

The paper investigates tangle replacement for handlebody‑knots, classifying the knots obtained from the prime spatial handcuff graph with four crossings and analyzing their symmetr…

math.GT2025

On unique decomposition of knotted handlebodies

Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang

The paper considers the uniqueness question of factorization of a knotted handlebody in the $3$ -sphere along decomposing $2$ -spheres. We obtain a uniqueness result for factorizatio…

math.AP2024

The $L^{1}$ -relaxed area of the graph of the vortex map: optimal upper bound

Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala

We compute an upper bound for the value of the $L^{1}$ -relaxed area of the graph of the vortex map $u : B_{l} (0) \subset R^{2} \to R^{2}$ , $u (x) := x /∣ x ∣$ , $x \neq 0…

Handlebody-knots obtained by tangle replacement

On unique decomposition of knotted handlebodies

The L1-relaxed area of the graph of the vortex map: optimal upper bound

The $L^{1}$ -relaxed area of the graph of the vortex map: optimal upper bound