Exact Computation of then-Loop Invariants of Knots

DOI10.1080/10586458.2015.1048012zbMath1336.57019arXiv1503.02554OpenAlexW1820549431MaRDI QIDQ2802002

Eric Sabo, Stavros Garoufalidis, Shane Scott

Publication date: 22 April 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02554

zbMATH Keywords

volumeshapesknotshyperbolic geometryFeynman diagramsJones polynomialvolume conjectureKashaev invariantideal triangulations1-loop\(n\)-loopformal Gaussian integrationNeumann-Zagier data

Mathematics Subject Classification ID

Related Items (1)

Infinitesimal gluing equations and the adjoint hyperbolic Reidemeister torsion

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• Volumes of hyperbolic three-manifolds
• Hecke algebra representations of braid groups and link polynomials
• The Magma algebra system. I: The user language
• The quantum content of the gluing equations
• The Ptolemy field of 3-manifold representations
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• A LINK INVARIANT FROM QUANTUM DILOGARITHM
• The colored Jones polynomials and the simplicial volume of a knot

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