Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds

DOI10.15673/tmgc.v15i3-4.2337zbMath1522.57040arXiv1703.10984OpenAlexW4323276356MaRDI QIDQ6051469

Ji-Young Ham, Joongul Lee

Publication date: 20 September 2023

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10984

zbMATH Keywords

orbifoldChern-Simons invariantorbifold coveringRiley-Mednykh polynomialdouble twist knot

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Hyperbolic 3-manifolds (57K32)

Cites Work

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• Reidemeister torsion and Dehn surgery on twist knots
• Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation \(C(2n,3)\)
• Mutation and the \(\eta\)-invariant
• Twisted Alexander polynomials of genus one two-bridge knots
• Knoten mit zwei Brücken
• The \(\eta\)-invariant of hyperbolic 3-manifolds
• Orderability and Dehn filling
• Deforming Euclidean cone 3-manifolds
• Explicit formulae for Chern-Simons invariants of the twist-knot orbifolds and edge polynomials of twist knots
• Volumes of hyperbolic double twist knot cone-manifolds
• On the volume and Chern–Simons invariant for 2-bridge knot orbifolds
• The A-polynomial 2-tuple of twisted Whitehead links
• 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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