60 citations · 237 across the 30 of their papers we have counts for
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The colored Jones polynomials and the simplicial volume of a knot
Hitoshi Murakami, Jun Murakami
We show that the set of colored Jones polynomials and the set of generalized Alexander polynomials defined by Akutsu, Deguchi and Ohtsuki intersect non-trivially. Moreover it is sh…
Hyperbolic three-manifolds with trivial finite type invariants
Hitoshi Murakami
We construct a hyperbolic three-manifold with trivial finite type invariants up to a given degree.
Finite type invariants of knots via their Seifert matrices
Hitoshi Murakami, Tomotada Ohtsuki
We define a filtration on the vector space spanned by Seifert matrices of knots related to Vassiliev's filtration on the space of knots. Further we show that the invariants of knot…
Quantum SU(2)-invariants for three-manifolds associated with non-trivial cohomology classes modulo two
Hitoshi Murakami
We show an integrality of the quantum SU(2)-invariant associated with a non-trivial first cohomology class modulo two.