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CFT Correlators and Mapping Class Group Averages. [PDF]

Commun Math Phys
Romaidis I, Runkel I.
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Turaev--Viro invariants and profinite completions of surface bundles

We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups.
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Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture

We study the large $r$ asymptotic behaviour of the Turaev-Viro invariants of oriented Seifert fibered 3-manifolds at the root $q=e^\frac{2πi}{r}$. As an application, we prove the volume conjecture for large families of oriented Seifert fibered 3-manifolds with empty and non-empty boundary.
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Possible universal quantum algorithms for generalized Turaev-Viro invariants

SPIE Proceedings, 2011
An emergent trend in quantum computation is the topological quantum computation (TQC). Briefly, TQC results from the application of quantum computation with the aim to solve the problems of quantum topology such as topological invariants for knots and links (Jones polynomials, HOMFLY polynomials, Khovanov polynomials); topological invariants for ...
Velez, Mario, Ospina, Juan
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Which lens spaces are distinguished by Turaev-Viro invariants

Mathematical Notes, 1997
Using the works of \textit{S. Yamada} [J. Knot Theory Ramifications 4, No. 2, 319-327 (1995; Zbl 0843.57004)] and \textit{L. C. Jeffrey} [Commun. Math. Phys. 147, No. 3, 563-604 (1992; Zbl 0755.53054)], the author gives an explicit formula for the value of the Turaev-Viro invariants of the 3-dimensional lens spaces \(L_{p,q}\).
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The Turaev–Viro Invariants

2007
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On a simple invariant of Turaev-Viro type

Journal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matveev, S. V., Sokolov, M. V.
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The Turaev-Viro Invariants

2003
These invariants were first described by V. Turaev and 0. Viro [121]. They possess two important properties. First, just like homology groups, they are easy to calculate. Only the limitations of the computer at hand may cause some difficulties. Second, they are very powerful, especially if used together with the first homology group.
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TURAEV-VIRO AND KAUFFMAN-LINS INVARIANTS FOR 3-MANIFOLDS COINCIDE

Journal of Knot Theory and Its Ramifications, 1992
The presentation of link polynomials, arising from representations of quantum group SLq(2) by SLq(2)-spin networks is given. The explicit form of cabling formula for these polynomials is written. The connection between 6j-symbols in q-spin network theory and Rakah-Wigner q-6j-symbols is shown.
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GRAPHICAL APPROACH TO THE 3-MANIFOLD INVARIANTS OF TURAEV-VIRO

Journal of Knot Theory and Its Ramifications, 1992
This paper uses graphical techniques introduced by Kirillov and Reshetikhin to give an alternative approach to the construction of the Turaev-Viro invariants for links in \(S^ 3 \) and for closed 3- manifolds. The invariant is defined in terms of a regular diagram for the link (or for a framed link representing the manifold) and is shown to be ...
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