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In this work, we give a formula for the logarithmic invariant of knots in terms of certain derivatives of the colored Jones invariant.
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1989
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1990
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R. M. Kashaev, The hyperbolic volume of knots from the quantum dilogarithm,
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H. Murakami, and J. Murakami, The colored Jones polynomials and the simplicial volume of a knot,
2001
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K. Habiro, On the quantum s l 2 sl_{2} invariants of knots and integral homology spheres,
2002
Cited alongside, same era.
H. Murakami, J. Murakami, M. Okamoto, T. Takata, and Y. Yokota, Kashaev’s conjecture and the Chern-Simons invariants of knots and links,
2002
Cited alongside, same era.
G. Masbaum, Skein-theoretical derivation of some formulas of Habiro,
2003
Cited alongside, same era.
A. D. Mednykh, On hyperbolic and spherical volumes for knot and link cone-manifolds,
2003
Cited alongside, same era.
H. Murakami, Some limits of the colored Jones polynomials of the figure-eight knot,
2004
Cited alongside, same era.
S. Gukov, Three-dimensional quantum gravity, Chern-Simons theory, and the A-polynomial,
2005
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B. L. Feigin, A. M. Gainutdinov, A. M. Semikhatov, and I. Yu. Tipunin, Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center,
2006
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H. Murakami, and Y. Yokota, The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces,
2007
Later among the works it cites.
J. Murakami, and K. Nagatomo, Logarithmic knot invariants arising from restricted quantum groups,
2008
Later among the works it cites.
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