Genus non-increasing totally positive unknotting number

Tetsuya Ito

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arXiv · 2406.14918

Genus non-increasing totally positive unknotting number

Tetsuya Ito

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Abstract

The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are positive-to-negative crossing changes that do not increase the genus. We show that the genus non-increasing totally positive unknotting number can be arbitrary large for genus one knots.

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Tetsuya Ito. 2024-06-21. Genus non-increasing totally positive unknotting number. https://arxiv.org/abs/2406.14918

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