Computing the determinant of links through Fourier-Hadamard transforms
Geometric Topology
2024-09-24 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2409.14133,
title = {Computing the determinant of links through Fourier-Hadamard transforms},
author = {Baptiste Gros and Ulises Pastor and Jorge Ramirez Alfonsin},
journal= {arXiv preprint arXiv:2409.14133},
year = {2024}
}