Computing the determinant of links through Fourier-Hadamard transforms

Fuente: arXiv
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Autores principales: Gros, Baptiste, Pastor, Ulises, Alfonsin, Jorge Ramirez
Formato: Preprint
Publicado: 2024
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author Gros, Baptiste
Pastor, Ulises
Alfonsin, Jorge Ramirez
author_facet Gros, Baptiste
Pastor, Ulises
Alfonsin, Jorge Ramirez
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_14133
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Computing the determinant of links through Fourier-Hadamard transforms
Gros, Baptiste
Pastor, Ulises
Alfonsin, Jorge Ramirez
Geometric Topology
Combinatorics
57K10, 57K14
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.
title Computing the determinant of links through Fourier-Hadamard transforms
topic Geometric Topology
Combinatorics
57K10, 57K14
url https://arxiv.org/abs/2409.14133