Geodesic
Mutation and SL(2, ℂ)–Reidemeister torsion for hyperbolic knots
Menal-Ferrer, Pere1 ; Porti, Joan1
1Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Spain
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2049-2067
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Given a hyperbolic knot, we prove that the Reidemeister torsion of any lift of the holonomy to SL(2, ℂ) is invariant under mutation along a surface of genus 2, hence also under mutation along a Conway sphere.

DOI : 10.2140/agt.2012.12.2049
Keywords: hyperbolic knot, mutation, Reidemeister torsion

Menal-Ferrer, Pere  1   ; Porti, Joan  1

1 Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Spain 
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Menal-Ferrer, Pere; Porti, Joan. Mutation and SL(2, ℂ)–Reidemeister torsion for hyperbolic knots. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2049-2067. doi: 10.2140/agt.2012.12.2049

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