Non-abelian Reidemeister torsion for twist knots

Details Non-abelian Reidemeister torsion for twist knots Non-abelian Reidemeister torsion for twist knots

2007-06-15

arxiv.org/abs/0706.2213v3

Mathematics

Geometric Topology

36 pages and 4 figures. Title and Abstract are modified. typos and inconsistent notations corrected. minor changes. to appear

Scientific paper

This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister
torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist
knots, we also prove that the non-abelian Reidemeister torsion at the holonomy
representation can be expressed as a rational function evaluated at the cusp
shape of the knot.

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