Polyhedra representation of link complements

DOI10.1090/conm/020/718149zbMath0524.57005OpenAlexW4239422719MaRDI QIDQ3036301

William W. Menasco

Publication date: 1983

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/020/718149

zbMATH Keywords

Whitehead linkBorromean ringsfigure 8 knothyperbolic structures on the link complementsrepresenting link complements as two polyhedra with faces identified and vertices deleted

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)

Related Items (19)

Right-angled polyhedra and alternating links ⋮ Fiber detection for state surfaces ⋮ Hyperbolicity of augmented links in the thickened torus ⋮ Volume and geometry of homogeneously adequate knots ⋮ Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots ⋮ Geometrically and diagrammatically maximal knots ⋮ Infinitely many arithmetic alternating links: Class number greater than one ⋮ Volume and determinant densities of hyperbolic rational links ⋮ 3-manifolds from Platonic solids. ⋮ Stable presentation length of 3-manifold groups ⋮ Constructing subdivision rules from alternating links ⋮ Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds ⋮ Generalized bipyramids and hyperbolic volumes of alternating \(k\)-uniform tiling links ⋮ Cusp structures of alternating links ⋮ Geometry of biperiodic alternating links ⋮ Geometry of alternating links on surfaces ⋮ Hyperbolic structures on knot complements ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Alternating links with totally geodesic checkerboard surfaces

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