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Mathematics

D-Index
44
Citations
13698
World Ranking
1537
National Ranking
662

Research.com Recognitions

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

Overview

Vladimir Turaev is affiliated with Indiana University in the United States. Their primary research focus lies within the field of mathematics, particularly in geometry and topology, as well as mathematical physics. Their scholarly contributions span over several specialized subfields, including:

  • Geometry and Topology
  • Mathematical Physics
  • Nuclear and High Energy Physics
  • Algebra and Number Theory
  • Computational Theory and Mathematics

The central themes of Turaev's work address topics such as:

  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Algebraic structures and combinatorial models
  • Black Holes and Theoretical Physics
  • Advanced Topology and Set Theory
  • Mathematics and Applications
  • Advanced Topics in Algebra

They have published in several venues, with a particular focus on:

  • arXiv (Cornell University)
  • International Journal of Mathematics
  • Journal of Knot Theory and Its Ramifications

Recent papers authored by Vladimir Turaev include:

  • On 3-dimensional homotopy quantum field theory III: Comparison of two approaches (2020), International Journal of Mathematics
  • Multi-quandles of topological pairs (2022), arXiv (Cornell University)
  • Quasi-Lie bialgebras of loops in quasi-surfaces (2020), arXiv (Cornell University)
  • Knots and links in 2-complexes (2023), arXiv (Cornell University)
  • Strings in metric spaces (2024), arXiv (Cornell University)

Their collaboration network includes frequent co-authors such as:

  • Alexis Virelizier
  • Christian Blanchet

In recognition of their research contributions, Vladimir Turaev was named a Fellow of the American Mathematical Society in 2016, with a citation noting their work in low-dimensional topology and topological quantum field theory.

Best Publications

  • Invariants of 3-manifolds via link polynomials and quantum groups

    N. Reshetikhin;V. G. Turaev

  • Quantum invariants of knots and 3-manifolds

    Vladimir G. Turaev

  • State sum invariants of 3 manifolds and quantum 6j symbols

    V.G. Turaev;O.Y. Viro

  • Ribbon graphs and their invariants derived from quantum groups

    N. Yu. Reshetikhin;V. G. Turaev

  • The Yang-Baxter equation and invariants of links

    V. G. Turaev

  • Skein quantization of Poisson algebras of loops on surfaces

    Vladimir G. Turaev

  • Introduction to Combinatorial Torsions

    Vladimir Turaev

  • Reidemeister torsion in knot theory

    V G Turaev

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

    Vladimir Turaev

  • OPERATOR INVARIANTS OF TANGLES, AND R-MATRICES

    V G Turaev

  • Homotopy field theory in dimension 3 and crossed group-categories

    Vladimir Turaev

  • Quasi-Poisson structures on representation spaces of surfaces

    Gwénaël Massuyeau;Vladimir Turaev

  • Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions

    Igor B. Frenkel;Vladimir G. Turaev

  • Homotopy Quantum Field Theory

    Vladimir Turaev

  • Monoidal Categories and Topological Field Theory

    Vladimir Turaev;Alexis Virelizier

  • QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS

    V. Turaev;H. Wenzl

  • Quantum Groups and Knot Invariants

    Christian Kassel;Marc Rosso;Vladimir Turaev

  • Torsions of 3-dimensional Manifolds

    Vladimir Turaev

  • Homotopy field theory in dimension 2 and group-algebras

    Vladimir Turaev

  • Modified quantum dimensions and re-normalized link invariants

    Nathan Geer;Bertrand Patureau-Mirand;Vladimir Turaev

  • EULER STRUCTURES, NONSINGULAR VECTOR FIELDS, AND TORSIONS OF REIDEMEISTER TYPE

    V G Turaev

Frequent Co-Authors

Stavros Garoufalidis
Stavros Garoufalidis Max Planck Institute for Mathematics
Igor B. Frenkel
Igor B. Frenkel Yale University
Dmitri Nikshych
Dmitri Nikshych University of New Hampshire
Anatoly Vershik
Anatoly Vershik Saint Petersburg State University

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