8 citations · 16 across the 5 of their papers we have counts for
6 papers
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…
Quantum Hyperbolic Invariants Of 3-Manifolds With PSL(2,C)-Characters
S. Baseilhac, R. Benedetti
We construct {\it quantum hyperbolic invariants} (QHI) for triples , where is a compact closed oriented 3-manifold, is a flat principal bundle over with struct…
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…
QHI Theory, I: 3-Manifolds Scissors Congruence Classes and Quantum Hyperbolic Invariants
S. Baseilhac, R. Benedetti
For any triple , where W is a closed connected and oriented 3-manifold, L is a link in W and is a flat principal B-bundle over W (B is the Borel subgroup of $SL(2,\mc)…
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…