Cusp structures of alternating links

DOI10.1007/BF01232034zbMath0810.57010OpenAlexW1970666683MaRDI QIDQ1803377

E. Lumsden, I. R. Aitchison, Joachim Hyam Rubinstein

Publication date: 29 June 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144028

zbMATH Keywords

fundamental groupalternating linkDehn fillingslink complementsexistence of incompressible surfacesfinite, connected graph in a 2-sphereideal polyhedrametrics of negative curvature

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (9)

Surfaces in 3-manifolds: Group actions on surface bundles ⋮ Infinitely many arithmetic alternating links: Class number greater than one ⋮ Infinitely many arithmetic alternating links ⋮ An alternative approach to hyperbolic structures on link complements ⋮ An application of non-positively curved cubings of alternating links ⋮ The compressibility of checkerboard surfaces of link diagrams ⋮ Constructing subdivision rules from alternating links ⋮ Geometry of biperiodic alternating links ⋮ Geometry and Markoff’s spectrum for ℚ(𝕚), I

Cites Work

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• Closed incompressible surfaces in alternating knot and link complements
• Manifolds of nonpositive curvature
• On the Jones polynomial
• Pinching constants for hyperbolic manifolds
• On irreducible 3-manifolds which are sufficiently large
• Covering spaces of 3-manifolds
• Polyhedra representation of link complements
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• Regular Honeycombs in Elliptic Space

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