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arXiv · 2502.10370

Explicit Formulas for the Alexander Polynomial of Pretzel Knots

Y. Belousov
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Abstract

We provide explicit formulas for the Alexander polynomial of pretzel knots and establish several immediate corollaries, including the characterization of pretzel knots with a trivial Alexander polynomial. As an application, we construct a new family of knots that are topologically slice but not smoothly slice.

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BibTeXRIS

Y. Belousov. 2025-02-14. Explicit Formulas for the Alexander Polynomial of Pretzel Knots. https://doi.org/10.1017/s0004972726101439

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