Volumes of highly twisted knots and links

DOI10.2140/agt.2007.7.93zbMath1135.57005arXivmath/0604476OpenAlexW3100435717MaRDI QIDQ873936

Jessica S. Purcell

Publication date: 21 March 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604476

zbMATH Keywords

volumehyperbolic knottwist region

Mathematics Subject Classification ID

Related Items (11)

Symmetries and hidden symmetries of \((\varepsilon, d_L)\)-twisted knot complements ⋮ Generalized augmented alternating links and hyperbolic volumes ⋮ Volume and geometry of homogeneously adequate knots ⋮ Effective bilipschitz bounds on drilling and filling ⋮ Constructing knots with specified geometric limits ⋮ On the fibration of augmented link complements ⋮ Simplicial volume of links from link diagrams ⋮ Efficiently hex-meshing things with topology ⋮ Concordance of Seifert surfaces ⋮ Bipyramids and bounds on volumes of hyperbolic links ⋮ Arithmeticity and hidden symmetries of fully augmented pretzel link complements

Uses Software

• SnapPea

Cites Work

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• Universal bounds for hyperbolic Dehn surgery
• Cusp shapes under cone deformation
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Three-dimensional orbifolds and cone-manifolds
• The orientable cusped hyperbolic \(3\)-manifolds of minimum volume
• Links with no exceptional surgeries
• Lower bounds on volumes of hyperbolic Haken 3-manifolds
• Packing of spheres in spaces of constant curvature
• The volume of hyperbolic alternating link complements
• SMALL CURVATURE SURFACES IN HYPERBOLIC 3-MANIFOLDS

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