Infinite families of non-fibered twisted torus knots

Adnan; Kyungbae Park

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arXiv · 2603.06316

Infinite families of non-fibered twisted torus knots

Adnan·Kyungbae Park

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Abstract

We present explicit infinite families of twisted torus knots that are not fibered. Our approach relies on an explicit formula for the Alexander polynomial derived in our previous work. We show that the leading coefficients of the Alexander polynomials of twisted torus knots can take arbitrary integer values, which immediately yields infinitely many examples of non-fibered twisted torus knots.

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Adnan, Kyungbae Park. 2026-03-06. Infinite families of non-fibered twisted torus knots. https://arxiv.org/abs/2603.06316

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