THE COMPLEX VOLUMES OF TWIST KNOTS VIA COLORED JONES POLYNOMIALS

DOI10.1142/S0218216510008443zbMath1217.57004MaRDI QIDQ3067864

Jun Murakami, Jinseok Cho

Publication date: 13 January 2011

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

zbMATH Keywords

colored Jones polynomialvolume conjecturetwist knotcomplex volume

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Length, area and volume in real or complex geometry (51M25)

Related Items (6)

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 ⋮ Braids, complex volume and cluster algebras ⋮ Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation \(C(2n,3)\) ⋮ Optimistic limit of the colored Jones polynomial and the existence of a solution ⋮ OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS AND THE COMPLEX VOLUMES OF HYPERBOLIC LINKS

Cites Work

• The hyperbolic volume of knots from the quantum dilogarithm
• The volume and Chern-Simons invariant of a representation
• Extended Bloch group and the Cheeger-Chern-Simons class
• The complex volumes of twist knots
• TRACE FIELDS OF TWIST KNOTS
• Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
• THE COLORED JONES POLYNOMIALS OF 2-BRIDGE LINK AND HYPERBOLICITY EQUATIONS OF IT'S COMPLEMENTS
• The colored Jones polynomials and the simplicial volume of a knot

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