156 citations · 220 across the 23 of their papers we have counts for
26 papers
Maximal universal invariants from finite quotients of Verma modules
Cristina Ana-Maria Anghel, Jun Murakami
We construct a sequence of new universal quantum knot invariants that are lifts of both the semi-simple and non semi-simple quantum knot invariants. More specifically,…
Complexified tetrahedrons, fundamental groups, and volume conjecture for double twist knots
Jun Murakami
In this paper, the volume conjecture for double twist knots are proved. The main tool is the complexified tetrahedron and the associated representation…
Quantum fundamental group of knot and its representation
Jun Murakami, Roland van der Veen
The theory of bottom tangles is used to construct a quantum fundamental group. On the other hand, the skein module is considered as a quantum analogue of the representation…
Relating quantum character varieties and skein modules
Julien Korinman, Jun Murakami
We relate the Kauffman bracket stated skein modules to two independent constructions of quantum representation spaces of Habiro and Van der Veen with the second author. We deduce f…
Non-Semisimple 3-Manifold Invariants Derived From the Kauffman Bracket
Marco De Renzi, Jun Murakami
We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of using purely combinatorial me…
Diagrammatic Construction of Representations of Small Quantum
Christian Blanchet, Marco De Renzi, Jun Murakami
We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of at a root of unity o…