nLab Vladimir Turaev

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.

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• Wikipedia entry (de)

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Selected writings

• 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 (knot invariants) and 3-manifolds:

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

On homotopy quantum field theory:

• Vladimir Turaev (with appendices by Michael Müger and Alexis Virelizier): Homotopy Quantum Field Theory, Tracts in Mathematics 10, European Mathematical Society (2010) [ems:etm/79]

On Dijkgraaf-Witten theory:

• 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)

On Fox derivatives, Fox pairings, and Dehn twists:

• Gwénaël Massuyeau, Vladimir Turaev: Fox pairings and generalized Dehn twists, Annales de l’Institut Fourier 63 5 (2013) 2403-2456 [doi:10.5802/wbln.38, arXiv:1109.5248]

Related entries

• Reshetikhin-Turaev construction

• Reshetikhin-Turaev invariant

• Turaev-Viro model

• unitary functorial field theory

category: people