Volume and determinant densities of hyperbolic rational links

DOI10.1142/S021821651750002XzbMath1370.57002arXiv1510.06050OpenAlexW2963916428MaRDI QIDQ2962414

Xinyi Jiang, Aaron Calderon, Nathaniel Mayer, Alexander Kastner, Colin C. Adams, Gregory Kehne, Mia Smith

Publication date: 16 February 2017

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

Full work available at URL: https://arxiv.org/abs/1510.06050

zbMATH Keywords

knothyperbolic 3-manifoldvolume densityrational knotdeterminant density

Mathematics Subject Classification ID

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

Related Items (6)

Densities of hyperbolic cusp invariants of knots and links ⋮ Geometrically and diagrammatically maximal knots ⋮ Bipyramids and bounds on volumes of hyperbolic links ⋮ Density spectra for knots ⋮ Generalized bipyramids and hyperbolic volumes of alternating \(k\)-uniform tiling links ⋮ Universal knot diagrams

Cites Work

• Bipyramids and bounds on volumes of hyperbolic links
• Closed incompressible surfaces in alternating knot and link complements
• On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer.
• Graphs, determinants of knots and hyperbolic volume
• Maximal determinant knots
• Dehn filling, volume, and the Jones polynomial
• Tiling a rectangle with the fewest squares
• Nonalternating links
• Density spectra for knots
• Geometrically and diagrammatically maximal knots
• Polyhedra representation of link complements
• Thrice-Punctured Spheres in Hyperbolic 3-Manifolds
• Determinants of rational knots
• TRIPLE CROSSING NUMBER OF KNOTS AND LINKS

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