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

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

2005-12-13

arxiv.org/abs/math/0512267v6

Mathematics

Geometric Topology

to appear in Ann. Institut Fourier

Scientific paper

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.

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