156 citations · 220 across the 23 of their papers we have counts for
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math.MG2010★ 5 cited
The volume formulas for a spherical tetrahedron
Jun Murakami
The present paper gives two concrete formulas for the volume of an arbitrary spherical tetrahedron, which is in a 3-dimensional spherical space of constant curvature +1. One formul…
math.GT2010★ 1 cited
Optimistic limits of the colored Jones polynomials
Jinseok Cho, Jun Murakami
We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo .
math.GT2010★ 8 cited
On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume
Francesco Costantino, Jun Murakami
We generalize the colored Alexander invariant of knots to an invariant of graphs, and we construct a face model for this invariant by using the corresponding 6j-symbol, which comes…