An application of non-positively curved cubings of alternating links

DOI10.1090/proc/13918zbMath1387.57016arXiv1612.06973OpenAlexW2561740970MaRDI QIDQ4636769

Yoshiyuki Yokota, Makoto Sakuma

Publication date: 20 April 2018

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

Full work available at URL: https://arxiv.org/abs/1612.06973

zbMATH Keywords

volume conjectureideal triangulationshyperbolic structuresnon-positively curved cubingsprime alternating link exteriors

Mathematics Subject Classification ID

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

Related Items (1)

A characterization of alternating link exteriors in terms of cubed complexes

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• Volumes of hyperbolic three-manifolds
• Lectures on hyperbolic geometry
• Algebraic and geometric solutions of hyperbolicity equations
• Cusp structures of alternating links
• An alternative approach to hyperbolic structures on link complements
• Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3-manifolds
• Quasifuchsian state surfaces
• ON THE COMPLEX VOLUME OF HYPERBOLIC KNOTS
• The Word and Conjugacy Problems for the Knot Group of any Tame, Prime, Alternating Knot
• The colored Jones polynomials and the simplicial volume of a knot
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