Hyperbolic structures on knot complements
type: Item
instance of: scholarly article
title: Hyperbolic structures on knot complements
zbMATH Open document ID: 0935.57017
DOI: 10.1016/S0960-0779(97)00106-9
published in: Chaos, Solitons and Fractals
publication date: 1999-11-25T00:00:00Z
review text: The authors survey some of the applications of hyperbolic geometry in 3-manifold topology. In particular, the focus is to study the existence of a hyperbolic structure on knot complements in the standard 3-sphere. Some results on the volume computation of hyperbolic 3-manifolds are presented. Finally, a discussion on invariants associated with the hyperbolic structure completes the paper.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1370411
zbMATH Keywords: hyperbolic geometry
zbMATH Keywords: hyperbolic volumes
zbMATH Keywords: ideal triangulations
zbMATH Keywords: isometry group
author: Patrick J. Callahan
author: Alan W. Reid
reviewed by: Alberto Cavicchioli
describes a project that uses: SnapPea
MaRDI profile type: Publication
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Hyperbolic structures on knot complements (cites work)
cites work: Three dimensional manifolds, Kleinian groups and hyperbolic geometry

Hyperbolic structures on knot complements (cites work)
cites work: Non-invertible knots exist

Hyperbolic structures on knot complements (cites work)
cites work: On irreducible 3-manifolds which are sufficiently large

Hyperbolic structures on knot complements (cites work)
cites work: Convex hulls and isometries of cusped hyperbolic 3-manifolds

Hyperbolic structures on knot complements (full work available at URL)
full work available at URL: s0960-0779(97)00106-9

Hyperbolic structures on knot complements (OpenAlex ID)
OpenAlex ID: W1990098414