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2007 Limit values of the non-acyclic Reidemeister torsion for knots
Yoshikazu Yamaguchi
Algebr. Geom. Topol. 7(3): 1485-1507 (2007). DOI: 10.2140/agt.2007.7.1485

Abstract

We consider the Reidemeister torsion associated with SL2()–representations of a knot group. A bifurcation point in the SL2()–character variety of a knot group is a character which is given by both an abelian SL2()–representation and a nonabelian one. We show that there exist limits of the non-acyclic Reidemeister torsion at bifurcation points and the limits are expressed by using the derivation of the Alexander polynomial of the knot in this paper.

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Yoshikazu Yamaguchi. "Limit values of the non-acyclic Reidemeister torsion for knots." Algebr. Geom. Topol. 7 (3) 1485 - 1507, 2007. https://doi.org/10.2140/agt.2007.7.1485

Information

Received: 1 February 2007; Revised: 28 July 2007; Accepted: 22 August 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1144.57021
MathSciNet: MR2366167
Digital Object Identifier: 10.2140/agt.2007.7.1485

Subjects:
Primary: 57Q10
Secondary: 57M05

Rights: Copyright © 2007 Mathematical Sciences Publishers

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