42 citations · 74 across the 6 of their papers we have counts for
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Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
QHI Theory, II: Dilogarithmic and Quantum Hyperbolic Invariants of 3-Manifolds with PSL(2,C)-Characters
Stephane Baseilhac, Riccardo Benedetti
We give parallel constructions of an invariant R(W,f), based on the classical Rogers dilogarithm, and of quantum hyperbolic invariants (QHI), based on the Faddeev-Kashaev quantum d…
QHI, 3-manifolds scissors congruence classes and the volume conjecture
Stephane Baseilhac, Riccardo Benedetti
This is a survey of our work on Quantum Hyperbolic Invariants (QHI) of 3-manifolds. We explain how the theory of scissors congruence classes is a powerful geometric framework for Q…
Quantum Hyperbolic State Sum Invariants of 3-Manifolds
Stephane Baseilhac, Riccardo Benedetti
Any triple , where is a compact closed oriented 3-manifold, is a link in and is a flat principal -bundle over ( is the Borel subgroup of upper tr…
Reidemeister Torsion of 3-Dimensional Euler Structures with Simple Boundary Tangency and Pseudo-Legendrian Knots
Riccardo Benedetti, Carlo Petronio
We generalize Turaev's definition of torsion invariants of pairs (M,x), where M is a 3-dimensional manifold and x is an Euler structure on M (a non-singular vector field up to homo…
Combed 3-Manifolds with Concave Boundary, Framed Links, and Pseudo-Legendrian Links
Riccardo Benedetti, Carlo Petronio
We provide combinatorial realizations, according to the usual objects/moves scheme, of the following three topological categories: (1) pairs (M,v) where M is a 3-manifold (up to di…