A table of genus two handlebody-knots with seven crossings

2025/11/15 by Giovanni Bellettini, Bellettini, Giovanni, Giovanni Paolini +5
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paper · pdf · doi:10.48550/arxiv.2511.12194

Abstract

We enumerate all genus two handlebody-knots with seven crossings, up to mirror image, extending the Ishii-Kishimoto-Moriuchi-Suzuki table.

Citations

• Handlebody-knots obtained by tangle replacement
• JSJ decomposition for handlebody-knots
• Unknotting annuli and handlebody-knot symmetry
• A table of n-component handlebody links of genus n+1 up to six crossings
• Numerical irreducibility criteria for handlebody links
• Knotted handle decomposing spheres for handlebody-knots
• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS

Cited by

• Handlebody-knots obtained by tangle replacement

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• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
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