V
Vladimir Turaev
Researcher at Indiana University
Publications - 153
Citations - 11348
Vladimir Turaev is an academic researcher from Indiana University. The author has contributed to research in topics: Homotopy & Quantum field theory. The author has an hindex of 39, co-authored 150 publications receiving 10573 citations. Previous affiliations of Vladimir Turaev include Centre national de la recherche scientifique & Louis Pasteur University.
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Journal ArticleDOI
Invariants of 3-manifolds via link polynomials and quantum groups
TL;DR: In this paper, the authors construct topological invariants of compact oriented 3-manifolds and of framed links in such manifolds, where the terms of the sequence are equale to the values of the Jones polynomial of the link in the corresponding roots of 1.
MonographDOI
Quantum invariants of knots and 3-manifolds
TL;DR: In this paper, a systematic treatment of topological quantum field theories (TQFT's) in 3D is presented, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups.
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Ribbon graphs and their invariants derived from quantum groups
TL;DR: In this paper, the generalization of Jones polynomial of links to the case of graphs in R 3 is presented as the functor from the category of graphs to the categories of representations of the quantum groups.
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State sum invariants of 3 manifolds and quantum 6j symbols
Vladimir Turaev,Oleg Viro +1 more
TL;DR: In this article, a new approach to construct quantum invariants of 3-manifolds is presented, based on the so-called quantum 6j-symbols associated with the quantized universal enveloping algebra U,&(C) where CJ is a complex root of 1 of a certain degree z > 2.
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The Yang-Baxter equation and invariants of links
TL;DR: In this article, the authors consider the fait that l'on peut construire des invariants d'isotopie P et F pour des liens en utilisant certaines solutions des equations de Yang Baxter.