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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★ 1 cited
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.