A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion

dc.creatorYamaguchi, Yoshikazu
dc.date2005-12-13
dc.date2007-07-03
dc.date.accessioned2026-07-07T08:13:38Z
dc.date.available2026-07-07T08:13:38Z
dc.descriptionWe show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a lambda-regular SU(2) or SL(2, C)-representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a 2-bridge knot and SU(2)-representations of its knot group.
dc.descriptionto appear in Ann. Institut Fourier
dc.identifierhttps://arxiv.org/abs/math/0512267
dc.identifierhttp://arxiv.org/abs/math/0512267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132836
dc.subjectGeometric Topology
dc.subject57M25; 57M05; 57M27; 57Q10
dc.titleA relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion
dc.typetext

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