Vladimir Turaev is a mathematician of Russian origin, who has made fundamental contributions to Quantum Field Theory, low dimensional topology, knot theory, and their interactions with mathematical physics and algebra.

He is currently based at Indiana University (Home page which is not very informative!)

*On certain enumeration problems in two-dimensional topology*, Math. Res. Lett.16(3) (2009), 515-529.

Introducing the Reshetikhin-Turaev construction:

- Nikolai Reshetikhin, Vladimir Turaev,
*Invariants of 3-manifolds via link polynomials and quantum groups*. Invent. Math. 103 (1991), no. 3, 547–597. (doi:10.1007/BF01239527, pdf)

On knot theory and 3-manifolds:

- Vladimir Turaev,
*Quantum invariants of knots and 3-manifolds*, de Gruyter Studies in Mathematics**18**Walter de Gruyter & Co. (1994) [doi:10.1515/9783110435221]

On homotopy quantum field theory:

*Homotopy Quantum Field Theory*, EMS Tracts in Math.10, European Math. Soc. Publ. House, Zurich 2010.

- Dijkgraaf-Witten invariants of surfaces and projective representations of groups, J. Geom. Phys. 57(11) (2007), 2419-2430.

On braid groups:

- Christian Kassel, Vladimir Turaev,
*Braid Groups*, GTM**247**Springer Heidelberg 2008 (doi:10.1007/978-0-387-68548-9, webpage)

category: people

Last revised on November 9, 2023 at 17:24:33. See the history of this page for a list of all contributions to it.