From the 1 of 3 linked papers with an AI index.
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
A table of genus two handlebody-knots with seven crossings
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1
We enumerate all genus two handlebody-knots with seven crossings, up to mirror image, extending the Ishii-Kishimoto-Moriuchi-Suzuki table.
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 -sphere along decomposing -spheres. We obtain a uniqueness result for factorizatio…