Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations
type: Item
instance of: scholarly article
title: Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations
zbMATH Open document ID: 0861.57031
author: Teruaki Kitano
published in: Osaka Journal of Mathematics
publication date: 1997-05-12T00:00:00Z
review text: Let \(M\) be the double of the complement of the figure eight knot. This paper shows that the set of values for \(\text{SL}(2;\mathbb{C})\)-representation Reidemeister torsion of \(M\) is all nonzero complex numbers. This contrasts with the case of Seifert fibered spaces, where the set of torsions is finite.
Mathematics Subject Classification ID: 57Q10
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 749314
zbMATH Keywords: figure eight knot
zbMATH Keywords: Reidemeister torsion
zbMATH Keywords: Seifert fibered spaces
reviewed by: Henry C. King
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 749314