Cusp size bounds from singular surfaces in hyperbolic 3-manifolds

DOI10.1090/S0002-9947-05-03662-7zbMath1080.57017MaRDI QIDQ5705530

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Publication date: 9 November 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cusp volumemeridian lengthsingular maps of surfaces

Mathematics Subject Classification ID

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

Related Items (6)

Densities of hyperbolic cusp invariants of knots and links ⋮ Exceptional surgeries in 3-manifolds ⋮ Bipyramids and bounds on volumes of hyperbolic links ⋮ Geometry of alternating links on surfaces ⋮ Alternating links with totally geodesic checkerboard surfaces ⋮ Cusp volumes of alternating knots on surfaces

Uses Software

• SnapPea

Cites Work

• Unnamed Item
• The classification of alternating links
• On the crossing number of high degree satellites of hyperbolic knots
• Dehn filling hyperbolic 3-manifolds
• Word hyperbolic Dehn surgery
• Bounds on exceptional Dehn filling
• Topology and combinatorics of 3-manifolds
• The volume of hyperbolic alternating link complements
• Simple Knots in Compact, Orientable 3-Manifolds
• Systoles of hyperbolic 3-manifolds
• Waist size for cusps in hyperbolic 3-manifolds

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