Hyperbolic structures on knot complements
From MaRDI portal
Publication:1809552
DOI10.1016/S0960-0779(97)00106-9zbMath0935.57017OpenAlexW1990098414MaRDI QIDQ1809552
Alan W. Reid, Patrick J. Callahan
Publication date: 25 November 1999
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(97)00106-9
Related Items
Hyperbolic sections in surface bundles ⋮ Quandle and hyperbolic volume ⋮ Fundamental group and covering properties of hyperbolic surgery manifolds ⋮ Alexander polynomial, finite type invariants and volume of hyperbolic knots ⋮ Hyperbolicity of partition function and quantum gravity ⋮ Examples of 4-manifolds with almost nonpositive curvature ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Coefficients and non-triviality of the Jones polynomial ⋮ SOME RESULTS ABOUT THE KAUFFMAN BRACKET SKEIN MODULE OF THE TWIST KNOT EXTERIOR ⋮ Computing Arithmetic Invariants of 3-Manifolds ⋮ Generalized Hopfian property, a minimal Haken manifold, and epimorphisms between 3-manifold groups ⋮ Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution
Uses Software
Cites Work
- A personal account of the discovery of hyperbolic structures on some knot complements
- Closed incompressible surfaces in alternating knot and link complements
- Convex hulls and isometries of cusped hyperbolic 3-manifolds
- Limit volumes of hyperbolic three-orbifolds
- Volumes of hyperbolic three-manifolds
- A polynomial invariant of oriented links
- Euclidean decompositions of noncompact hyperbolic manifolds
- Sphere-packing and volume in hyperbolic 3-space
- Mutation and volumes of knots in S 3
- Geometric invariants for 3-manifolds
- Almost alternating links
- An algorithm producing hyperbolicity equations for a link complement in \(S^ 3\)
- Infinitely many fibred knots having the same Alexander polynomial
- The first 1,701,936 knots
- Toroidally alternating knots and links
- Unknotting tunnels in two-bridge knot and link complements
- Representation theory and the \(A\)-polynomial of a knot
- Unknotting tunnels in hyperbolic 3-manifolds
- Non-invertible knots exist
- On irreducible 3-manifolds which are sufficiently large
- Strong rigidity of Q-rank 1 lattices
- Transformations of finite period
- Polyhedra representation of link complements
- Amalgamation and the invariant trace field of a Kleinian group
- Hyperbolic Invariants of Knots and Links
- A note on Trace-Fields of Kleinian Groups
- The cusped hyperbolic 3-orbifold of minimum volume
- Infinitely Many Knots with the Same Polynomial Invariant
- Volumes of N -Cusped Hyperbolic 3-Manifolds
- The Noncompact Hyperbolic 3-Manifold of Minimal Volume
- Knots are Determined by Their Complements
- Packing of spheres in spaces of constant curvature
- Hyperbolic geometry: The first 150 years
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- Arithmeticity of Knot Complements
- Imbeddings of three-manifold groups
- SYMMETRY GROUPS OF HYPERBOLIC KNOTS AND LINKS
- A quadratic parabolic group
- Parabolic Representations of Knot Groups, II
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- A census of cusped hyperbolic 3-manifolds
- Homomorphisms of Knot Groups on Finite Groups
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
- Examples of Transformation Groups
- Knots
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
