Results 11 to 20 of about 1,460 (82)
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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Three-dimensional gravity from the Turaev-Viro invariant [PDF]
Physical Review Letters, 1992 Summary: We study the \(q\)-deformed su(2) spin network as a three-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines a naturally regularized path integral a la Ponzano and Regge, in which a contribution from the cosmological term is effectively included.
Mizoguchi, Shun'ya, Tada, Tsukasa
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Colored Turaev–Viro invariants of twist knots
Topology and its Applications, 2009 This paper presents formulae for the colored Turaev-Viro invariants [introduced by \textit{J. Barrett, J. Martins} and \textit{J. García-Islas}, J. Math. Phys. 48, No.~9, 093508, 18~p. (2007; Zbl 1152.81328)] of twist knots. These formulae are obtained by a fairly lengthy computation which uses the description of the colored Turaev-Viro invariants as a
Yuya Koda
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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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Computing Turaev-Viro invariants for 3-manifolds
Manuscripta Mathematica, 1991 This note outlines a scheme to compute the Turaev-Viro invariants of a closed 3-manifold, and tabulates the values of the invariant corresponding to certain 8th roots of unity for a number of manifolds.
Kauffman, Lous H., Lins, Sóstences
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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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On Colored Turaev-Viro Invariants for Links in Arbitrary 3-Manifolds [PDF]
International Mathematics Research Notices, 2009 40 pages, 23 ...
PERVOVA, EKATERINA, PETRONIO, CARLO
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