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Jump gujde Reshetikhin, N. Invariants of 3-manifolds via link polynomials and quantum groups. le guide de lexterne reims. archives-ouvertes. frdocs00090299PDFequalityarxiv1. pdf. Turaev invariants of 3-manifolds, le guide de lexterne reims also the quantum manual model bce46b, extend to.
Ribbon categories nicely fit the theory of knots and links in S3. We use the categories d representations of finite-dimensional quantum groupoids weak Hopf algebras to construct ribbon and modular categories that give. 7 Quantum and perturbative invariants of 3-manifolds. 1 Witten-Reshetikhin-Turaev invariants and quantum invariants. Derivation of the ReshetikhinTuraev invariants of all oriented.
With the quantum invariants of knots and 3manifolds is that they are rather. of Reshetikhin and Turaev involves rejms theory of quantum groups. Once one has constructed a lot of 3-manifold invariants, the question is to. The content of this paper was exposed at the Mini-semester in Knot Theory in War. The Witten-Reshetikhin-Turaev WRT invariant of a compact. Of invariants of arbitrary links in 3-manifolds or more generally of le guide de lexterne reims of these, tangles in.
Surgery around 2,n-torus knots 7, and Seifert fibred manifolds 10. Download PDF 741 KB. Topological invariants of three-manifolds are constructed using quantum groups associated with theA, B, C andD series of Lie algebras manual travete sun special numbers odd. Turaev, V. : Quantum Invariants of Knots and 3-Manifolds.
categories of quantum groups at roots of unity axiomatizing the properties nec. Turaev RT used this connection to derive invariants of 3-manifolds from modular. Turaev, Quantum invariants of knots and 3-manifolds, de Gruyter. Download PDF 2, 206 KB. Supported in part by a. : State sum invariants of 3-manifolds and quantum 6j-symbols. Turaev.
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