Mutation and SL(2, ℂ)–Reidemeister torsion for hyperbolic knots

Menal-Ferrer, Pere; Porti, Joan

doi:10.2140/agt.2012.12.2049

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Mutation and $\mathrm{SL}(2,\mathbb{C})$–Reidemeister torsion for hyperbolic knots

Pere Menal-Ferrer and Joan Porti

Algebraic & Geometric Topology 12 (2012) 2049–2067

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 $SL (2, ℂ)$ is invariant under mutation along a surface of genus 2, hence also under mutation along a Conway sphere.

Keywords

hyperbolic knot, mutation, Reidemeister torsion

Mathematical Subject Classification 2000

Primary: 57M27

Secondary: 57M50, 57M25

References

Publication

Received: 20 September 2011

Revised: 27 September 2012

Accepted: 28 September 2012

Published: 31 October 2012

Authors

Pere Menal-Ferrer
Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Cerdanyola del Vallès Spain

Joan Porti
Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Cerdanyola del Vallès Spain
http://mat.uab.cat/~porti/

Volume 12, issue 4 (2012)