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arXiv:math/0512277 [math.GT]AbstractReferencesReviewsResources

Limit values of the non-acyclic Reidemeister torsion for knots

Yoshikazu Yamaguchi

Published 2005-12-13, updated 2007-10-31Version 5

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.

Comments: to appear in Algebraic and Geometric Topology
Categories: math.GT
Subjects: 57M25, 57M05, 57M27, 57Q10
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