Vladimir Georgievich Turajew

Wladimir Georgijewitsch Turajew ( Russian Владимир Георгиевич Тураев ; English transcription Vladimir Turaev, born October 17, 1954 ) is a Russian mathematician who deals with topology .

Turajew received his doctorate in 1979 under Oleg Yanovich Wiro at the Steklov Institute in Leningrad . He was a professor at the University of Louis Pasteur in Strasbourg and then at Indiana University . He is a fellow of the American Mathematical Society .

Turajew deals with low-dimensional topology and knot theory and in this context with topological quantum field theories . Topological invariants in this area are named after him and Reshetichin or Wiro.

In 1990 he was invited speaker at the International Congress of Mathematicians in Kyōto ( State sum models in low dimensional topology ). For 2016 he was awarded the Ferran Sunyer i Balaguer Prize together with Alexis Virelizier .

Fonts

• Homotopy quantum field theory , European Mathematical Society 2010
• with Christian Kassel Braid Groups , Springer 2008, ISBN 0-387-33841-1
• Introduction to combinatorial torsions , Birkhäuser 2001
• Torsions of 3-dimensional manifolds , Birkhäuser 2002
• Quantum invariants of Knots and 3-Manifolds , de Gruyter 1994
• with Reschetichin (Reshetikhin) Invariants of 3-manifolds via link polynomials and quantum groups , Inventiones Mathematicae, Volume 103, 1991, pp. 547-597
• with Anatoli Werschik (editor): Topology, ergodic theory, real algebraic geometry - Rokhlin 's memorial , American Mathematical Society 2001
• Editor with Christian Kassel , Marc Rosso: Quantum groups and knot invariants , SMF (Panoramas et Synthèses) 1997
• with Alexis Virelizier: Monoidal Categories and Topological Field Theory, Birkhäuser 2015

Web links

• Indiana University homepage
• Entry on Vladimir Georgievich Turajew on Math-Net.Ru