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Asymptotics of the Turaev-Viro Invariants and q-hyperbolic Manifolds
, 2023 We study asymptotic properties of the Turaev--Viro invariants and build on their conjecturedconnections to the geometry of 3-manifolds. Our focus is a conjecture of Chen and Yang asserting that the exponential growth rate of the Turaev--Viro invariants ...
Melby, Joseph M.
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On a simple invariant of Turaev-Viro type
Journal of Mathematical Sciences, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matveev, S. V., Sokolov, M. V.
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GRAPHICAL APPROACH TO THE 3-MANIFOLD INVARIANTS OF TURAEV-VIRO
Journal of Knot Theory and Its Ramifications, 1992This 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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TURAEV-VIRO AND KAUFFMAN-LINS INVARIANTS FOR 3-MANIFOLDS COINCIDE
Journal of Knot Theory and Its Ramifications, 1992The 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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Algorithms and complexity for Turaev–Viro invariants
Journal of Applied and Computational Topology, 2018Benjamin A Burton +2 more
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