We propose and in some cases prove a precise relation between 3-manifold invariants
associated with quantum groups at roots of unity and at generic $ q $. Both types of …

We consider the link and three-manifold invariants in [DGGPR], which are defined in terms of
certain non-semisimple finite ribbon categories $\mathcal {C} $ together with a choice of …

In conformal field theory the understanding of correlation functions can be divided into two
distinct conceptual levels: The analytic properties of the correlators endow the …

Abstract The Witten–Reshetikhin–Turaev (WRT) invariants extend the Jones polynomials of
links in S 3 to invariants of links in 3–manifolds. Similarly, the authors constructed two 3 …

Generalized Kashaev invariants for knots in three manifolds Page 1 Quantum Topol. 8 (2017),
35–73 DOI 10.4171/QT/86 Quantum Topology © European Mathematical Society Generalized …

We prove a 20-year-old conjecture concerning two quantum invariants of three manifolds
that are constructed from finite dimensional Hopf algebras, namely, the Kuperberg invariant …

Costantino--Geer--Patureau-Mirand proved relations between the Reshetikhin--Turaev link
invariants and the re-normalized link invariants for knots. Their theorem says that residues of …

Vladimir Turaev discovered in the early years of quantum topology that the notion of modular
category was an appropriate structure for building 3-dimensional Topological Quantum Field …

We construct quantum invariants of balanced sutured 3-manifolds with a structure out of an
involutive (possibly nonunimodular) Hopf superalgebra H. If H is the Borel subalgebra of, we …

We show a simple relation between Witten–Reshetikhin–Turaev SU (2) invariant and the
Hennings invariant associated with the restricted quantum sl _ 2. These invariants are …