2 papers
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
Handlebody-knots obtained by tangle replacement
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1
We study tangle replacement in the context of handlebody-knots. The main results classify the handlebody-knots obtained by performing tangle replacement on the prime spatial handcu…