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19942008
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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Showing 2006Show all

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math.QA2006★ 99 cited

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

Kazuhiro Hikami

We study quantum invariant Z(M) for cusped hyperbolic 3-manifold M. We construct this invariant based on oriented ideal triangulation of M by assigning to each tetrahedron the quan…

math-ph2006★ 25 cited

Transformation Formula of the "2nd" Order Mock Theta Function

Kazuhiro Hikami

We give a transformation formula for the ``2nd order'' mock theta function which was recently proposed in connection with the quantum invariant for the Seifert manifold.