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2012 Mutation and $\mathrm{SL}(2,\mathbb{C})$–Reidemeister torsion for hyperbolic knots
Pere Menal-Ferrer, Joan Porti
Algebr. Geom. Topol. 12(4): 2049-2067 (2012). DOI: 10.2140/agt.2012.12.2049

Abstract

Given a hyperbolic knot, we prove that the Reidemeister torsion of any lift of the holonomy to SL(2,) is invariant under mutation along a surface of genus 2, hence also under mutation along a Conway sphere.

Citation

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Pere Menal-Ferrer. Joan Porti. "Mutation and $\mathrm{SL}(2,\mathbb{C})$–Reidemeister torsion for hyperbolic knots." Algebr. Geom. Topol. 12 (4) 2049 - 2067, 2012. https://doi.org/10.2140/agt.2012.12.2049

Information

Received: 20 September 2011; Revised: 27 September 2012; Accepted: 28 September 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1271.57042
MathSciNet: MR2994831
Digital Object Identifier: 10.2140/agt.2012.12.2049

Subjects:
Primary: 57M27
Secondary: 57M25 , 57M50

Keywords: hyperbolic knot , mutation , Reidemeister torsion

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.12 • No. 4 • 2012
MSP
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