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Genus non-increasing totally positive unknotting number
Published 21 Jun 2024 in math.GT | (2406.14918v1)
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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