Geodesic
On reciprocality of twisted Alexander invariants
Hillman, Jonathan A1 ; Silver, Daniel S2 ; Williams, Susan G2
1School of Mathematics and Statistics F07, University of Sydney, Sydney, NSW 2006, Australia
2Department of Mathematics and Statistics, University of South Alabama, Mobile AL 36688, USA
Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 1017-1026
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Given a knot and an SLnF 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 SL3ℤ representation for which the twisted Reidemeister torsion is not reciprocal.

DOI : 10.2140/agt.2010.10.1017
Keywords: knot, twisted Reidemeister torsion, twisted Alexander polynomial

Hillman, Jonathan A  1   ; Silver, Daniel S  2   ; Williams, Susan G  2

1 School of Mathematics and Statistics F07, University of Sydney, Sydney, NSW 2006, Australia
2 Department of Mathematics and Statistics, University of South Alabama, Mobile AL 36688, USA 
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Hillman, Jonathan A; Silver, Daniel S; Williams, Susan G. On reciprocality of twisted Alexander invariants. Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 1017-1026. doi: 10.2140/agt.2010.10.1017

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