Trigonometric identities and volumes of the hyperbolic twist knot cone-manifolds

DOI10.1142/S0218216514500643zbMath1369.57007arXiv1403.1941OpenAlexW2963903267MaRDI QIDQ5172971

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Publication date: 6 February 2015

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

Full work available at URL: https://arxiv.org/abs/1403.1941

zbMATH Keywords

volumehyperbolic orbifoldtwist knotorbifold coveringhyperbolic cone-manifoldcomplex distance

Mathematics Subject Classification ID

Related Items (7)

An explicit formula for the \(A\)-polynomial of the knot with Conway's notation \(C(2n,4)\) ⋮ Volumes of hyperbolic double twist knot cone-manifolds ⋮ On the volume and Chern–Simons invariant for 2-bridge knot orbifolds ⋮ Explicit formulae for Chern-Simons invariants of the twist-knot orbifolds and edge polynomials of twist knots ⋮ The A-polynomial 2-tuple of twisted Whitehead links ⋮ Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation \(C(2n,3)\) ⋮ Volumes of two-bridge cone manifolds in spaces of constant curvature

Cites Work

• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Plane curves associated to character varieties of 3-manifolds
• Three-dimensional orbifolds and cone-manifolds
• Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups
• Hyperbolic 3-manifolds singular along knots
• Volumes and degeneration of cone-structures on the figure-eight knot
• Deforming Euclidean cone 3-manifolds
• Maximal volume representations are Fuchsian
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• A FORMULA FOR THE A-POLYNOMIAL OF TWIST KNOTS
• Parabolic Representations of Knot Groups, I
• Deformations of hyperbolic \(3\)-cone-manifolds

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