Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots

dc.creatorFrancaviglia, Stefano
dc.creatorPorti, Joan
dc.date2007-12-10
dc.date2008-08-01
dc.date.accessioned2026-07-07T10:04:09Z
dc.date.available2026-07-07T10:04:09Z
dc.descriptionWe prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in $SO_0(4,1)$. Here rigidity means that any discrete and faithful representation in $SO_0(4,1)$ is conjugate to the holonomy representation in $SO_0(3,1)$. We also show local rigidity for almost all Dehn fillings.
dc.descriptionReferences updated and some minor changes
dc.identifierhttps://arxiv.org/abs/0712.1539
dc.identifierhttp://arxiv.org/abs/0712.1539
dc.identifierPacific Journal of Mathematics 238 (2008), No. 2, 249-274.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169561
dc.subjectGeometric Topology
dc.subject57M50
dc.titleRigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots
dc.typetext

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