On the volume conjecture:
Hitoshi Murakami, Jun Murakami, The Colored Jones Polynomial And The Simplicial Volume Of A Knot, Acta Math. 186 (2001) 85-104 (euclid.acta/1485891370)
Hitoshi Murakami, Jun Murakami, M. Okamoto, T. Takata, and Y. Yokota, Kashaev’s Conjecture And The Chern-Simons Invariants Of Knots And Links, Experiment. Math. 11 (2002) 427-435 (arXiv:math/0203119)
Hitoshi Murakami, Asymptotic Behaviors Of The Colored Jones Polynomials Of A Torus Knot, Internat. J. Math. 15 (2004) 547-555.
Hitoshi Murakami, An Introduction to the Volume Conjecture (arXiv:1002.0126) In: Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory, Contemporary Mathematics Volume 541, AMS 2011 (doi:10.1090/conm/541)
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