A partial classification of 3-dimensional clasp number two, genus two fibered knots

Tetsuya Ito

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arXiv · 2602.11612

A partial classification of 3-dimensional clasp number two, genus two fibered knots

Tetsuya Ito

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Abstract

The 3-dimensional clasp number $cl(K)$ of a knot $K$ is the minimum number of clasp singularities of clasp disk, a singular immersed disk bounding $K$ whose singular set consists of only clasp singularities. We give a classification of clasp number two, genus two fibered knots under the assumption that they admit a clasp disk of certain type which we call of type II.

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Tetsuya Ito. 2026-02-12. A partial classification of 3-dimensional clasp number two, genus two fibered knots. https://arxiv.org/abs/2602.11612

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