Results 11 to 20 of about 1,522 (82)
3-dimensional Gravity from the Turaev-Viro Invariant [PDF]
Physical Review Letters, 1991 We study the $q$-deformed su(2) spin network as a 3-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines naturally regularized path-integral $\grave{\rm a}$ la Ponzano ...
B. Hasslacher +10 more
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Abelian BF theory and Turaev-Viro invariant [PDF]
Journal of Mathematical Physics, 2015 The U(1) BF Quantum Field Theory is revisited in the light of Deligne-Beilinson Cohomology. We show how the U(1) Chern-Simons partition function is related to the BF one and how the latter on its turn coincides with an abelian Turaev-Viro invariant ...
F. Thuillier +8 more
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Turaev–Viro invariant and 3nj symbols [PDF]
Journal of Mathematical Physics, 2000 We propose in this work a new method to construct the Turaev–Viro state sums, using a diagrammatic presentation describing surgery operation as Heegaard splittings. The resulting invariants can be connected with suitable 3nj symbols, and we evaluate them for the lens spaces.
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Skein theory and Turaev-Viro invariants
Topology, 1995 Using the so-called chain mail the author identifies two sets of quantum 3-manifold invariants. These were defined by Reshetikin-Turaev respectively Turaev-Viro using different presentations of 3-manifolds and also different quantum initial data. This identification was first done by Walker and Turaev using more complicated methods.
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On Hempel Pairs and Turaev-Viro Invariants
Chinese Annals of Mathematics, Series B22 pages; calculation corrected; Remark 4.2 ...
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Turaev–Viro invariants and cabling operations
International Journal of Mathematics, 2023 In this paper, we study the variation of the Turaev–Viro invariants for [Formula: see text]-manifolds with toroidal boundary under the operation of attaching a [Formula: see text]-cable space. We apply our results to a conjecture of Chen and Yang which relates the asymptotics of the Turaev–Viro invariants to the simplicial volume of a compact oriented
Kumar, Sanjay, Melby, Joseph M.
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Kuperberg and Turaev–Viro invariants in unimodular categories [PDF]
Pacific Journal of Mathematics, 2020 30 pages, 24 ...
Costantino, Francesco +3 more
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Algorithms and Complexity for Turaev-Viro Invariants [PDF]
Journal of Applied and Computational Topology, 2015 The Turaev-Viro invariants are a powerful family of topological invariants for distinguishing between different 3-manifolds. They are invaluable for mathematical software, but current algorithms to compute them require exponential time. The invariants are parameterised by an integer $r \geq 3$. We resolve the question of complexity for $r=3$ and $r=4$,
Burton, Benjamin A. +2 more
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Turaev–Viro invariants, colored Jones polynomials, and volume [PDF]
Quantum Topology, 2018 We obtain a formula for the Turaev–Viro invariants of a link complement in terms of values of the colored Jones polynomials of the link. As an application, we give the first examples of 3-manifolds where the “large r ” asymptotics of the Turaev–Viro invariants determine the hyperbolic ...
Renaud Detcherry +2 more
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