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- Vladimir Turaev

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
11,514
148
World Ranking
1627
National Ranking
713

2016 - Fellow of the American Mathematical Society For contributions to low-dimensional topology and topological quantum field theory.

- Pure mathematics
- Algebra
- Topology

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.

- Invariants of 3-manifolds via link polynomials and quantum groups (1396 citations)
- Ribbon graphs and their invariants derived from quantum groups (1063 citations)
- State sum invariants of 3 manifolds and quantum 6j symbols (1053 citations)

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.

- Pure mathematics (65.66%)
- Combinatorics (21.21%)
- Algebra (16.16%)

- Pure mathematics (65.66%)
- Combinatorics (21.21%)
- Moduli space (6.06%)

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.

- Monoidal Categories and Topological Field Theory (29 citations)
- Loops in surfaces and star-fillings (5 citations)
- Brackets in the Pontryagin Algebras of Manifolds (4 citations)

- Pure mathematics
- Algebra
- Topology

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Invariants of 3-manifolds via link polynomials and quantum groups

N. Reshetikhin;V. G. Turaev.

Inventiones Mathematicae **(1991)**

1758 Citations

Quantum invariants of knots and 3-manifolds

Vladimir G. Turaev.

arXiv: High Energy Physics - Theory **(1994)**

1516 Citations

Ribbon graphs and their invariants derived from quantum groups

N. Yu. Reshetikhin;V. G. Turaev.

Communications in Mathematical Physics **(1990)**

1306 Citations

State sum invariants of 3 manifolds and quantum 6j symbols

V.G. Turaev;O.Y. Viro.

Topology **(1992)**

1257 Citations

The Yang-Baxter equation and invariants of links

V. G. Turaev.

Inventiones Mathematicae **(1988)**

744 Citations

Introduction to Combinatorial Torsions

Vladimir Turaev.

**(2001)**

317 Citations

Skein quantization of Poisson algebras of loops on surfaces

Vladimir G. Turaev.

Annales Scientifiques De L Ecole Normale Superieure **(1991)**

312 Citations

Reidemeister torsion in knot theory

V G Turaev.

Russian Mathematical Surveys **(1986)**

276 Citations

Torsion invariants of $Spin^c$-structures on 3-manifolds

Vladimir Turaev.

Mathematical Research Letters **(1997)**

266 Citations

OPERATOR INVARIANTS OF TANGLES, AND R-MATRICES

V G Turaev.

Mathematics of The Ussr-izvestiya **(1990)**

234 Citations

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