SOME LIMITS OF THE COLORED ALEXANDER INVARIANT OF THE FIGURE-EIGHT KNOT AND THE VOLUME OF HYPERBOLIC ORBIFOLDS

DOI10.1142/S0218216509007464zbMath1192.57010OpenAlexW1986408119MaRDI QIDQ3644382

Jun Murakami, Jinseok Cho

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1142/s0218216509007464

zbMATH Keywords

volume conjecturecolored Alexander invariantfigure-eight knot, orbifold

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25)

Related Items (4)

On the SL\((2,\mathbb C)\) quantum \(6j\)-symbols and their relation to the hyperbolic volume ⋮ Coloured Alexander polynomials and KP hierarchy ⋮ Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants ⋮ Yokota type invariants derived from non-integral highest weight representations of 𝒰q(sl2)

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• INVARIANTS OF COLORED LINKS
• The colored Jones polynomials and the simplicial volume of a knot

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