Results 21 to 30 of about 357 (103)
Growth of Turaev–Viro invariants and cabling [PDF]
Journal of Knot Theory and Its Ramifications, 2019 The Chen–Yang volume conjecture [Q. Chen and T. Yang, Volume conjectures for the Reshetikhin–Turaev and the Turaev–Viro invariants, preprint (2015), arXiv:1503.02547] states that the growth rate of the Turaev–Viro invariants of a compact oriented [Formula: see text]-manifold determines its simplicial volume.
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Asymptotic Behavior of Colored Jones polynomial and Turaev-Viro Invariant of figure eight knot
, 2020 In this paper we investigate the asymptotic behavior of the colored Jones polynomials and the Turaev-Viro invariants for the figure eight knot. More precisely, we consider the $M$-th colored Jones polynomials evaluated at $(N+1/2)$-th root of unity with ...
Wong, Ka Ho, Au, Thomas Kwok-Keung
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Concordance Invariants and the Turaev Genus
, 2022 We show that the differences between various concordance invariants of knots, including Rasmussen's s-invariant and its generalizations s(n)-invariants, give lower bounds to the Turaev genus of knots.
Sungkyung Kang +2 more
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On the integrality of Witten-Reshetikhin-Turaev 3-manifold invariants [PDF]
, 2014 We prove that the SU.(2) Witten-Reshetikhin-Turaev invariant of any 3-manifold with any colored link inside at any root of unity is an algebraic integer.
Chen, Qi, Le, Thang, Beliakova, Anna
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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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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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On the relation between two quantum group invariants of 3-cobordisms [PDF]
, 1996 We prove in the context of quantum groups at even roots of unity that a Turaev-Viro type invariant of a three-dimensional cobordism M equals the tensor product of the Reshetikhin-Turaev invariants of M and M*, where the latter denotes M with orientation ...
Durhuus, B, Beliakova, A
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Turaev-Viro invariants as an extended TQFT
, 2010 38 pages, many figures. New in v.3: significantly rewritten exposition, providing details of some proofs which were only outlined in the previous ...
Kirillov Jr., Alexander +1 more
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Computations of Turaev-Viro-Ocneanu Invariants of 3-Manifolds from Subfactors [PDF]
Journal of Knot Theory and Its Ramifications, 2003 In this paper, we establish a rigorous correspondence between the two tube algebras, that one comes from the Turaev-Viro-Ocneanu TQFT introduced by Ocneanu and another comes from the sector theory introduced by Izumi, and construct a canonical isomorphism between the centers of the two tube algebras, which is a conjugate linear isomorphism preserving ...
Sato, Nobuya, Wakui, Michihisa
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A TQFT of Turaev–Viro Type on Shaped Triangulations
, 2016 A shaped triangulation is a finite triangulation of an oriented pseudo-three-manifold where each tetrahedron carries dihedral angles of an ideal hyperbolic tetrahedron.
Vartanov, Grigory +2 more
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