Yoshikazu Yamaguchi
Published 2005-12-13, updated 2007-07-03Version 6
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.
Comments: to appear in Ann. Institut Fourier
Limit values of the non-acyclic Reidemeister torsion for knots
Twisted Alexander polynomials and character varieties of 2-bridge knot groups
On the geometry of the slice of trace--free SL(2,C)-characters of a knot group
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