2016 - Fellow of the American Mathematical Society For contributions to low-dimensional topology and topological quantum field theory.
His main research concerns Pure mathematics, Algebra, Invariant, Jones polynomial and Torsion. His Pure mathematics research incorporates elements of Base and Structure. His Cohomology, Killing form and Lie conformal algebra study in the realm of Algebra interacts with subjects such as Knot theory.
His work in Invariant addresses issues such as Combinatorics, which are connected to fields such as Order. His work deals with themes such as Topological space and Field, which intersect with Topological quantum field theory. His Functor research includes elements of Indifference graph, n-connected and Chordal graph.
His primary scientific interests are in Pure mathematics, Combinatorics, Algebra, Discrete mathematics and Homotopy. His work in Pure mathematics covers topics such as Quantum field theory which are related to areas like Discrete group. Vladimir Turaev has researched Combinatorics in several fields, including Manifold and Group.
His research investigates the connection between Manifold and topics such as Boundary that intersect with problems in Totally geodesic and Group algebra. His study ties his expertise on Topological quantum field theory together with the subject of Algebra. Vladimir Turaev has included themes like Ring homomorphism and Homology in his Torsion study.
Vladimir Turaev spends much of his time researching Pure mathematics, Combinatorics, Moduli space, Hopf algebra and Discrete mathematics. His study on Homotopy and Functor is often connected to Philosophy as part of broader study in Pure mathematics. Vladimir Turaev regularly ties together related areas like Manifold in his Combinatorics studies.
His Moduli space study combines topics from a wide range of disciplines, such as Space and Generalization. His study in Hopf algebra is interdisciplinary in nature, drawing from both Handlebody, Boundary and Unimodular matrix. His Tight span, Metric space, Coxeter graph and Distance-regular graph study in the realm of Discrete mathematics connects with subjects such as Trimming.
Vladimir Turaev focuses on Pure mathematics, Homotopy, Moduli space, Hopf algebra and Combinatorics. The study incorporates disciplines such as Star and Algebraic operation in addition to Pure mathematics. His studies deal with areas such as Bialgebra, Structure, Discrete group and Quantum field theory as well as Homotopy.
In his study, which falls under the umbrella issue of Moduli space, Topology, Tensor field, Fundamental group and Jacobi identity is strongly linked to Space. His biological study spans a wide range of topics, including Heegaard splitting, Handlebody, Unimodular matrix and Field. His Combinatorics research is multidisciplinary, relying on both Discrete mathematics, Metric space and Tight span.
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Invariants of 3-manifolds via link polynomials and quantum groups
N. Reshetikhin;V. G. Turaev.
Inventiones Mathematicae (1991)
Quantum invariants of knots and 3-manifolds
Vladimir G. Turaev.
arXiv: High Energy Physics - Theory (1994)
Ribbon graphs and their invariants derived from quantum groups
N. Yu. Reshetikhin;V. G. Turaev.
Communications in Mathematical Physics (1990)
State sum invariants of 3 manifolds and quantum 6j symbols
V.G. Turaev;O.Y. Viro.
The Yang-Baxter equation and invariants of links
V. G. Turaev.
Inventiones Mathematicae (1988)
Introduction to Combinatorial Torsions
Skein quantization of Poisson algebras of loops on surfaces
Vladimir G. Turaev.
Annales Scientifiques De L Ecole Normale Superieure (1991)
Reidemeister torsion in knot theory
V G Turaev.
Russian Mathematical Surveys (1986)
Torsion invariants of $Spin^c$-structures on 3-manifolds
Mathematical Research Letters (1997)
OPERATOR INVARIANTS OF TANGLES, AND R-MATRICES
V G Turaev.
Mathematics of The Ussr-izvestiya (1990)
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