Hyperbolic Invariants of Knots and Links

DOI10.2307/2001854zbMath0733.57002OpenAlexW4229935422WikidataQ29541886 ScholiaQ29541886MaRDI QIDQ3359405

Jeffrey R. Weeks, Colin C. Adams, Martin V. Hildebrand

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001854

zbMATH Keywords

symmetrieshyperbolic volumeconformal invariantshyperbolic knotscusp volume

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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THE SIMPLEST HYPERBOLIC KNOTS, Second shortest vertical geodesics of manifolds obtained from the Whitehead link, ON DOUBLE-TORUS KNOTS (II), Unknotting tunnels in hyperbolic 3-manifolds, The generalized tilt formula, Fibonacci manifolds as two-fold coverings of the three-dimensional sphere and the Meyerhoff-Neumann conjecture, Closed incompressible surfaces in 2-generator hyperbolic 3-manifolds with a single cusp, On hyperbolic knots with the same \(m\)-fold and \(n\)-fold cyclic branched coverings, Knots and links of invariant tori in Beltrami flows with cubic symmetry, Infinitely many arithmetic alternating links, Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds, Twisted Alexander polynomials of periodic knots, Unnamed Item, On the cusp shape of hyperbolic knots, Periodic knots and Heegaard Floer correction terms, Hyperbolic structures on knot complements, The topology, geometry and algebra of unknotting tunnels, Knot complement with a three sphere volume as a model for \({\mathcal E}^{(\infty)}\) spacetime, Minimum ideal triangulations of hyperbolic 3-manifolds, On medial links and hyperbolic 3-manifolds with large isometry groups, The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1

Cites Work

• Mutation and the \(\eta\)-invariant
• Sphere-packing and volume in hyperbolic 3-space
• Mutation and volumes of knots in S 3
• Thrice-Punctured Spheres in Hyperbolic 3-Manifolds
• Volumes of N -Cusped Hyperbolic 3-Manifolds
• The Noncompact Hyperbolic 3-Manifold of Minimal Volume
• Packing of spheres in spaces of constant curvature
• Hyperbolic geometry: The first 150 years
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Knots
• Unnamed Item
• Unnamed Item