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

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We 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.
to appear in Ann. Institut Fourier

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Geometric Topology, 57M25; 57M05; 57M27; 57Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/132836

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512267
 http://arxiv.org/abs/math/0512267

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arXiv