Some new behaviour in the deformation theory of Kleinian groups

dc.creatorHolt, John
dc.date2000-10-16
dc.date.accessioned2026-07-07T04:38:04Z
dc.date.available2026-07-07T04:38:04Z
dc.descriptionWe present examples of hyperbolizable 3-manifolds $M$ with the following property. Let $CC(π_1(M))$ denote the space of convex co-compact representations of $π_1(M)$. We show that for every $K\geq 1$ there exists a representation $ρ$ in $\bar {CC(π_1(M))}$ so that every $K$-quasiconformal deformation of $ρ$ lies in the closure of every component of $CC(π_1(M))$. The examples $M$ were discovered by Anderson and Canary.
dc.description20 pages; 2 figures. To be published in Comm. in Anal and Geom
dc.identifierhttps://arxiv.org/abs/math/0010164
dc.identifierhttp://arxiv.org/abs/math/0010164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60143
dc.subjectGeometric Topology
dc.subject57M50
dc.titleSome new behaviour in the deformation theory of Kleinian groups
dc.typetext

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