Results 71 to 80 of about 459 (91)
Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function
International audienceIn this article, we show that the $\mathrm{U}(1)^n$ Chern-Simons partition functions are related to Reshetikhin-Turaev invariants.
Thuillier, Frank, Tagaris, Michail
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Turaev-Viro's Invariant and 3-dimensional Gravity
Soryushiron Kenkyu Electronics, 1992 openaire +1 more source
Possible universal quantum algorithms for generalized Turaev-Viro invariants
Proceedings of SPIE, 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 ...
Mario Velez, Juan Ospina
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A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds
Journal of Topology, 2023 Abstract We define a relative version of the Turaev–Viro invariants for an ideally triangulated compact 3‐manifold with nonempty boundary and a coloring on the edges, generalizing the Turaev–Viro invariants [36] of the manifold. We also propose the volume conjecture for these invariants whose asymptotic behavior is related to the volume of the manifold
Tian Yang
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Algorithms and Computation in Mathematics, 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.
Sergei Matveev, Matveev Sergei
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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.
Sergei Matveev, Matveev Sergei
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Recent Progresses on the Volume Conjectures for Reshetikhin-Turaev and Turaev-Viro Invariants
Acta Mathematica Vietnamica, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian Yang
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The Turaev-viro Invariant for 3-Manifolds is a Sum of Three Invariants
Canadian Mathematical Bulletin, 1996 AbstractWe show that every Turaev-Viro invariant for 3-manifolds is a sum of three new invariants and discuss their properties. We also find a solution of a conjecture of L. H. Kauffman and S. Lins. Tables of the invariants for closed orientable 3-manifolds of complexity ≤ 3 are presented at the end of the paper.
M. V. Sokolov
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Which lens spaces are distinguished by Turaev-Viro invariants
Mathematical Notes, 1997Using 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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Estimating Turaev-Viro three-manifold invariants is universal for quantum computation [PDF]
Physical Review A, 2010 The Turaev-Viro invariants are scalar topological invariants of compact, orientable 3-manifolds. We give a quantum algorithm for additively approximating Turaev-Viro invariants of a manifold presented by a Heegaard splitting.
Gorjan Alagić, Stephen P Jordan
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