On reciprocality of twisted Alexander invariants
Geometric Topology
2014-10-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0905.2574,
title = {On reciprocality of twisted Alexander invariants},
author = {Jonathan A. Hillman and Daniel S. Silver and Susan G. Williams},
journal= {arXiv preprint arXiv:0905.2574},
year = {2014}
}
Comments
10 pages, no figures