Non-abelian Reidemeister torsion for twist knots

dc.creatorDubois, Jérôme
dc.creatorHuynh, Vu
dc.creatorYamaguchi, Yoshikazu
dc.date2007-06-15
dc.date2008-03-09
dc.date.accessioned2026-07-07T09:25:24Z
dc.date.available2026-07-07T09:25:24Z
dc.descriptionThis 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.
dc.description36 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
dc.identifierhttps://arxiv.org/abs/0706.2213
dc.identifierhttp://arxiv.org/abs/0706.2213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156392
dc.subjectGeometric Topology
dc.subject57M25, 57M27
dc.titleNon-abelian Reidemeister torsion for twist knots
dc.typetext

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