Non-abelian Reidemeister torsion for twist knots

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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.
36 pages and 4 figures. Title and Abstract are modified. typos and inconsistent notations corrected. minor changes. to appear in Journal of Knot Theory and Its Ramifications

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Geometric Topology, 57M25, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/156392

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2213
 http://arxiv.org/abs/0706.2213

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arXiv