Twisted Alexander invariant and non-abelian Reidemeister torsion for hyperbolic three-dimensional manifolds with cusps

Understand

We study a computational method of the hyperbolic Reidemeister torsion (also called in the literature the non-abelian Reidemeister torsion) induced by J.

• Porti for complete hyperbolic three-dimensional manifolds with cusps.
• The derivative of the twisted Alexander invariant for a hyperbolic knot exterior gives the hyperbolic torsion.
• We prove such a derivative formula of the twisted Alexander invariant for hyperbolic link exteriors like the Whitehead link exterior.