Background
Turaev, Vladimir Georgievitch was born on October 17, 1954 in Leningrad, Russia. Son of Georgij and Helena (Volodarskaja) Turaev. Immigrated to France, 1990.
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book
Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics)
(This monograph, now in its second revised edition, provid...)
This monograph, now in its second revised edition, provides a systematic treatment of topological quantum field theories in three dimensions, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups. The author, one of the leading experts in the subject, gives a rigorous and self-contained exposition of fundamental algebraic and topological concepts that emerged in this theory.
http://www.amazon.com/gp/product/3111740625/?tag=2022091-20
Quantum Invariants of Knots and 3-Manifolds (De Gruyter Studies in Mathematics, Vol. 18)
( Due to the strong appeal and wide use of this monograph...)
Due to the strong appeal and wide use of this monograph, it is now available in its second revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups. The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. Part III provides constructions of modular categories, based on quantum groups and skein modules of tangles in the 3-space. This fundamental contribution to topological quantum field theory is accessible to graduate students in mathematics and physics with knowledge of basic algebra and topology. It is an indispensable source for everyone who wishes to enter the forefront of this fascinating area at the borderline of mathematics and physics. From the contents: Invariants of graphs in Euclidean 3-space and of closed 3-manifolds Foun
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Quantum Groups and Knot Invariants (Panoramas Et Syntheses)
http://www.amazon.com/gp/product/2856290558/?tag=2022091-20
- Quantum Invariants of Knots and 3-Manifolds (De Gruyter Studies in Mathematics, Vol. 18) by Vladimir G. Turaev (2010-04-19)
- Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics) (Due to the strong appeal and wide use of this monograph, ...)
Vladimir Georgievitch Turaev
Edit ProfileEducation
Master of Science, University Leningrad, Leningrad, 1975. Doctor of Philosophy, Steklov Mathematics Institute, Moscow, 1979. Doctor of Science Physics and Mathematics, Steklov Mathematics Institute, Moscow, 1988.
Career
Scientific researcher Leningrad Department Steklov Mathematics Institute, Leningrad, 1976-1990. Director research Cntre National de Recherche Scientifique, Strasbourg, France, since 1990. Teacher mathematics Physical-Mathematics School Northern 45, Leningrad, 1972-1976.
Professor mathematics Pedagogical Institute, Leningrad, 1979-1982. Visiting professor Stanford University, Palo Alto, California, 1992, Yale University, New Haven, 1994, University Geneva, 1996-1997, Max-Planck Institute of Mathematics, Bonn, 2000-2001.
Achievements
Works
book
-
Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics)
(This monograph, now in its second revised edition, provid...)
-
Quantum Invariants of Knots and 3-Manifolds (De Gruyter Studies in Mathematics, Vol. 18)
( Due to the strong appeal and wide use of this monograph...)
-
Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics)
( Due to the strong appeal and wide use of this monograph...)
- Quantum Invariants of Knots and 3-Manifolds (De Gruyter Studies in Mathematics, Vol. 18) by Vladimir G. Turaev (2010-04-19)
- Quantum Groups and Knot Invariants (Panoramas Et Syntheses)
-
Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics)
Connections
Married Anna Pavlova, May 7, 1979 (divorced December 1987). 1 child, Dmitrij; married Muriel Laville, March 2, 1996. Children: Marie-Catherine, Marc.
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Born
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Nationality
Russian -
Ethnicity
Education
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1975
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1979
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1988