activity
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 2007Show all

2 papers · 1 filter

math.GT2007★ 5 cited

Colored Jones polynomials with polynomial growth

Kazuhiro Hikami, Hitoshi Murakami

The volume conjecture and its generalizations say that the colored Jones polynomial corresponding to the N-dimensional irreducible representation of sl(2;C) of a (hyperbolic) knot…

quant-ph2007★ 28 cited

Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States

Kazuhiro Hikami

We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read--Rezayi state whose effective theory…