Limit values of the non-acyclic Reidemeister torsion for knots

Yoshikazu Yamaguchi

doi:10.2140/agt.2007.7.1485

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Limit values of the non-acyclic Reidemeister torsion for knots

Yoshikazu Yamaguchi

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Abstract

We consider the Reidemeister torsion associated with SL(2, C)-representations of a knot group. A bifurcation point in the SL(2, C)-character variety of a knot group is a character which is given by both an abelian SL(2, C)-representation and a non-abelian one. We show that there exist limits of the non-acyclic Reidemeister torsion at bifurcation points and the limits are expressed by using the derivation of the Alexander polynomial of the knot in this paper.

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Yoshikazu Yamaguchi. 2007-10-31. Limit values of the non-acyclic Reidemeister torsion for knots. https://doi.org/10.2140/agt.2007.7.1485

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