Right-angled links in thickened surfaces

DOI10.1007/s10711-024-00960-wMaRDI QIDQ6647732

Rose Kaplan-Kelly

Publication date: 3 December 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

hyperbolic geometrytotally geodesic surfacealternating linkright-angled knot

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Knot theory (57K10) Hyperbolic 3-manifolds (57K32)

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• Regular tessellations of surfaces and (p,q,2)-triangle groups
• Toroidally alternating knots and links
• Hyperbolicity of links in thickened surfaces
• Semi-equivelar maps on the torus and the Klein bottle are Archimedean
• Subgroup growth.
• Alternating links with totally geodesic checkerboard surfaces
• Right-angled polyhedra and alternating links
• Semi-regular tilings of the hyperbolic plane
• Generalized bipyramids and hyperbolic volumes of alternating \(k\)-uniform tiling links
• A characterisation of alternating knot exteriors
• Alternating links and definite surfaces
• An alternative approach to hyperbolic structures on link complements
• Polyhedra representation of link complements
• ON ARCHIMEDEAN LINK COMPLEMENTS
• Links with alternating diagrams on closed surfaces of positive genus
• Geometry of biperiodic alternating links
• Geometry of alternating links on surfaces
• NON-TRIVIALITY OF GENERALIZED ALTERNATING KNOTS
• Cusp size bounds from singular surfaces in hyperbolic 3-manifolds

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