Mutation and SL.2; C/-reidemeister torsion for hyperbolic knots

Pere Menal-Ferrer; Joan Porti

doi:10.2140/agt.2012.12.2049

Mutation and SL.2; C/-reidemeister torsion for hyperbolic knots

Pere Menal-Ferrer, Joan Porti

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	2049-2067
Revista	Algebraic and Geometric Topology
Volum	12
Número	4
DOIs	https://doi.org/10.2140/agt.2012.12.2049
Estat de la publicació	Publicada - 31 d’oct. 2012

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10.2140/agt.2012.12.2049

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https://www.scopus.com/pages/publications/84868573366

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title = "Mutation and SL.2; C/-reidemeister torsion for hyperbolic knots",

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.",

author = "Pere Menal-Ferrer and Joan Porti",

year = "2012",

month = oct,

day = "31",

doi = "10.2140/agt.2012.12.2049",

language = "English",

volume = "12",

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journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

publisher = "Mathematical Sciences Publishers",

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T1 - Mutation and SL.2; C/-reidemeister torsion for hyperbolic knots

AU - Menal-Ferrer, Pere

AU - Porti, Joan

PY - 2012/10/31

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84868573366

U2 - 10.2140/agt.2012.12.2049

DO - 10.2140/agt.2012.12.2049

M3 - Article

SN - 1472-2747

VL - 12

SP - 2049

EP - 2067

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 4

ER -

Mutation and SL.2; C/-reidemeister torsion for hyperbolic knots

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