Computing the determinant of links through Fourier-Hadamard transforms

Baptiste Gros; Ulises Pastor; Jorge Ramirez Alfonsin

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arXiv · 2409.14133

Computing the determinant of links through Fourier-Hadamard transforms

Baptiste Gros·Ulises Pastor·Jorge Ramirez Alfonsin

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Abstract

In this paper, we present a novel method to compute the determinant of a link using Fourier-Hadamard transforms of Boolean functions. We also investigate the determinant of centrally symmetric links (a special class of strong achiral links). In particular, we show that the determinant of a centrally symmetric link with an even number of components is equals zero.

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Baptiste Gros, Ulises Pastor, Jorge Ramirez Alfonsin. 2024-09-21. Computing the determinant of links through Fourier-Hadamard transforms. https://arxiv.org/abs/2409.14133

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