130 citations · 1k across the 44 of their papers we have counts for
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math.NT2014★ 3 cited
Torus knots and quantum modular forms
Kazuhiro Hikami, Jeremy Lovejoy
In this paper we compute a -hypergeometric expression for the cyclotomic expansion of the colored Jones polynomial for the left-handed torus knot and use this to defi…
math.QA2014★ 1 cited
Braiding Operator via Quantum Cluster Algebra
Kazuhiro Hikami, Rei Inoue
We construct a braiding operator in terms of the quantum dilogarithm function based on the quantum cluster algebra. We show that it is a q-deformation of the R-operator for which h…