scientific article; zbMATH DE number 7546041

DOI10.7858/eamj.2022.009zbMath1494.57036MaRDI QIDQ5083088

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Publication date: 21 June 2022

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zbMATH Keywords

cyclic branched coveringDunwoody manifold\((1, 1)\)-diagram\((1, 1)\)-knotdoubly-pointed Heegaard diagram

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Low-dimensional topology of special (e.g., branched) coverings (57M12) Knot theory (57K10)

Cites Work

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• Identifying tunnel number one knots
• On unknotting tunnels for knots
• A generalized bridge number for links in 3-manifolds
• Two-generator discrete subgroups of \(\text{Isom}(\mathbb{H}^2)\) containing orientation-reversing elements
• On nonsimple 3-manifolds and 2-handle addition
• 1-genus 1-bridge splittings for knots
• Genus one 1-bridge knots and Dunwoody manifolds
• Two-Generator Cable Knots are Tunnel One
• ALL STRONGLY-CYCLIC BRANCHED COVERINGS OF (1,1)-KNOTS ARE DUNWOODY MANIFOLDS
• Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams
• Knots

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