Twisted Reidemeister torsion for twist knots

The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evalua...

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Detalles Bibliográficos
Autores: Dubois, Jérôme, Huynh, Vu, Yamaguchi, Yoshikazu
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:44053
Acceso en línea:https://ddd.uab.cat/record/44053
Access Level:acceso abierto
Palabra clave:Nusos, Teoria de
Varietats tridimensionals (Topologia)
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spelling Twisted Reidemeister torsion for twist knotsDubois, JérômeHuynh, VuYamaguchi, YoshikazuNusos, Teoria deVarietats tridimensionals (Topologia)The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables given approximations of the twisted Reidemeister torsion for twist knots on some concrete examples are also enclosed.Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22007-01-0120072007-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/44053reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:440532026-06-06T12:50:31Z
dc.title.none.fl_str_mv Twisted Reidemeister torsion for twist knots
title Twisted Reidemeister torsion for twist knots
spellingShingle Twisted Reidemeister torsion for twist knots
Dubois, Jérôme
Nusos, Teoria de
Varietats tridimensionals (Topologia)
title_short Twisted Reidemeister torsion for twist knots
title_full Twisted Reidemeister torsion for twist knots
title_fullStr Twisted Reidemeister torsion for twist knots
title_full_unstemmed Twisted Reidemeister torsion for twist knots
title_sort Twisted Reidemeister torsion for twist knots
dc.creator.none.fl_str_mv Dubois, Jérôme
Huynh, Vu
Yamaguchi, Yoshikazu
author Dubois, Jérôme
author_facet Dubois, Jérôme
Huynh, Vu
Yamaguchi, Yoshikazu
author_role author
author2 Huynh, Vu
Yamaguchi, Yoshikazu
author2_role author
author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv Nusos, Teoria de
Varietats tridimensionals (Topologia)
topic Nusos, Teoria de
Varietats tridimensionals (Topologia)
description The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables given approximations of the twisted Reidemeister torsion for twist knots on some concrete examples are also enclosed.
publishDate 2007
dc.date.none.fl_str_mv 2
2007-01-01
2007
2007-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/44053
url https://ddd.uab.cat/record/44053
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Centre de Recerca Matemàtica
publisher.none.fl_str_mv Centre de Recerca Matemàtica
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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