Infinitely many arithmetic alternating links: Class number greater than one

DOI10.1142/s021821652350089xOpenAlexW4389623483MaRDI QIDQ6150724

Alan W. Reid, Mark D. Baker

Publication date: 6 March 2024

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021821652350089x

zbMATH Keywords

alternating linkarithmetic link complement

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Hyperbolic 3-manifolds (57K32)

Cites Work

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• Closed incompressible surfaces in alternating knot and link complements
• Rational homology of Bianchi groups
• Cusp structures of alternating links
• A characterization of ideal polyhedra in hyperbolic 3-space
• Alternating links with totally geodesic checkerboard surfaces
• A census of hyperbolic Platonic manifolds and augmented knotted trivalent graphs
• Link complements and the Bianchi modular groups
• Polyhedra representation of link complements
• Commensurators of Cusped Hyperbolic Manifolds
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
• ON ARITHMETIC HYPERBOLIC LINKS
• Construction d’entrelacs hyperpoliques et arithmétiques
• ON ARCHIMEDEAN LINK COMPLEMENTS
• Computing Arithmetic Invariants of 3-Manifolds
• COMMENSURABILITY CLASSES OF ARITHMETIC LINK COMPLEMENTS
• LINK COMPLEMENTS ARISING FROM ARITHMETIC GROUP ACTIONS
• Spectral geometry, link complements and surgery diagrams

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