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most citedGeneralized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum Invariant

99 citations · 412 across the 13 of their papers we have counts for

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math.GT2004★ 42 cited

Difference equation of the colored Jones polynomial for torus knot

Kazuhiro Hikami

We prove that the N-colored Jones polynomial for the torus knot T_{s,t} satisfies the second order difference equation, which reduces to the first order difference equation for a c…