On reciprocality of twisted Alexander invariants

Details On reciprocality of twisted Alexander invariants On reciprocality of twisted Alexander invariants

2009-05-15

arxiv.org/abs/0905.2574v1

Mathematics

Geometric Topology

10 pages, no figures

Scientific paper

Given a knot and an SL(n,C) representation of its group that is conjugate to its dual, the representation that replaces each matrix with its inverse-transpose, the associated twisted Reidemeister torsion is reciprocal. An example is given of a knot group and SL(3,Z) representation that is not conjugate to its dual for which the twisted Reidemeister torsion is not reciprocal.

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