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Turaev, Vladimir Georgievich

Author ID: turaev.vladimir-g Recent zbMATH articles by "Turaev, Vladimir Georgievich"
Published as: Turaev, Vladimir; Turaev, V. G.; Turaev, Vladimir G.; Turaev, V.
Further Spellings: Тураев Владимир Георгиевич
Homepage: https://math.indiana.edu/about/faculty/touraev-vladimir.html
External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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Co-Authors

107 single-authored
7 Virelizier, Alexis
6 Kassel, Christian
5 Massuyeau, Gwénaël
4 Geer, Nathan
3 Andersen, Jørgen Ellegaard
3 Cimasoni, David
3 Fenn, Roger Andrew
3 Fominykh, Evgeny Anatol’evich
3 Le, Thang Tu Quoc
3 Matveev, Sergeĭ Vladimirovich
3 Patureau-Mirand, Bertrand
3 Vesnin, Andrei Yu.
3 Viro, Oleg Ya.
2 Deloup, Florian L.
2 Farber, Michael S.
2 Frenkel, Igor B.
2 Jones, Vaughan Frederick Randal
2 Kashaev, Rinat M.
2 Kerler, Thomas
2 Kohno, Toshitake
2 Murakami, Jun
2 Natanzon, Sergei M.
2 Ohtsuki, Tomotada
2 Przytycki, Józef Henryk
2 Reshetikhin, Nikolai Yu.
2 Roberts, Justin
2 Rosso, Marc
2 Vainerman, Leonid I.
2 Wenzl, Hans
1 Bar-Natan, Dror
1 Bartholomew, Andy
1 Baseilhac, Stéphane
1 Benedetti, Riccardo
1 Bespalov, Yuri N.
1 Boileau, Michel Charles
1 Budden, Steve
1 Bukhshtaber, Viktor Matveevich
1 Carter, J. Scott
1 Chen, Beifang
1 Chernavskiĭ, Alekseĭ Viktorovich
1 Costantino, Francesco
1 Dodane, Olivier
1 Dunfield, Nathan M.
1 Dynnikov, Ivan Alekseevich
1 Ferrand, Emmanuel
1 Fomenko, Anatoliĭ Timofeevich
1 Garoufalidis, Stavros
1 Gómez Larrañaga, José Carlos
1 González Acuña, Francisco Javier
1 Goussarov, Mikhail
1 Graña, Matías
1 Guadagnini, Enore
1 Habiro, H.
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Ivanov, V. N.
1 Kania-Bartoszyńska, Joanna
1 Kawahigashi, Yasuyuki
1 Kharlamov, Viatcheslav M.
1 Kidwell, Mark Elliot
1 King, Simon A.
1 Kricker, Andrew
1 Kuno, Yusuke
1 Lescop, Christine
1 Lyubashenko, Volodymyr V.
1 Masbaum, Gregor
1 Mnëv, Nikolai Evgen’evich
1 Morton, Hugh R.
1 Müger, Michael
1 Murakami, Hitoshi
1 Nakanishi, Yasutaka
1 Natapov, Michael
1 Nikshych, Dmitri
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Penner, Robert C.
1 Pilo, Luigi
1 Polyak, Michael
1 Porter, Timothy
1 Reshetnyak, Yuriĭ Grigor’evich
1 Rourke, Colin P.
1 Rozansky, Lev
1 Sanderson, Brian J.
1 Sato, Nobuya
1 Schlenk, Felix
1 Sosinskiĭ, Alekseĭ Bronislavovich
1 Staic, Mihai D.
1 Stanford, Theodore B.
1 Stoimenow, Alexander
1 Taĭmanov, Iskander Asanovich
1 Takata, Toshie
1 Tarkaev, Vladimir Viktorovich
1 Thurston, Dylan Paul
1 Traczyk, Paweł
1 Vasil’ev, Viktor Anatol’evich
1 Vershik, Anatoliĭ Moiseevich
1 Willerton, Simon
1 Yokota, Yoshiyuki
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Serials

9 Journal of Soviet Mathematics
9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
8 Mathematics of the USSR, Sbornik
6 Matematicheskiĭ Sbornik. Novaya Seriya
5 Journal of Geometry and Physics
4 Journal of Pure and Applied Algebra
4 International Journal of Mathematics
4 Algebraic & Geometric Topology
3 Advances in Mathematics
3 Journal of Algebra
3 Topology
3 L’Enseignement Mathématique. 2e Série
3 Mathematical Research Letters
3 De Gruyter Studies in Mathematics
2 Communications in Mathematical Physics
2 Russian Mathematical Surveys
2 Annales de l’Institut Fourier
2 Functional Analysis and its Applications
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Geometriae Dedicata
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Mathematics of the USSR. Izvestiya
2 Osaka Journal of Mathematics
2 Pacific Journal of Mathematics
2 Soviet Mathematics. Doklady
2 Topology and its Applications
2 IMRN. International Mathematics Research Notices
2 Journal of Knot Theory and its Ramifications
2 Progress in Mathematics
1 International Journal of Modern Physics B
1 Discrete Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Matematicheskie Zametki
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Publications Mathématiques
1 Journal of Differential Geometry
1 Mathematische Annalen
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Leningrad Mathematical Journal
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Matematicheskiĭ Sbornik
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Sbornik: Mathematics
1 Doklady Mathematics
1 The Arabian Journal for Science and Engineering. Section C: Theme Issues
1 Communications in Contemporary Mathematics
1 Moscow Mathematical Journal
1 Banach Center Publications
1 Graduate Texts in Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Panoramas et Synthèses
1 Geometry and Topology Monographs
1 Journal of Noncommutative Geometry
1 Journal of Homotopy and Related Structures
1 Journal of Topology
1 EMS Tracts in Mathematics
1 Japanese Journal of Mathematics. 3rd Series
1 Quantum Topology
1 Kyoto Journal of Mathematics
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

138 Publications have been cited 4,495 times in 2,932 Documents Cited by Year
Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007
Reshetikhin, N.; Turaev, V. G.
598
1991
Quantum invariants of knots and 3-manifolds. Zbl 0812.57003
Turaev, V. G.
467
1994
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
448
1990
State sum invariants of 3-manifolds and quantum \(6j\)-symbols. Zbl 0779.57009
Turaev, V. G.; Viro, O. Y.
394
1992
The Yang-Baxter equation and invariants of links. Zbl 0648.57003
Turaev, V. G.
222
1988
Braid groups. With the graphical assistance of Olivier Dodane. Zbl 1208.20041
Kassel, Christian; Turaev, Vladimir
179
2008
Introduction to combinatorial torsions. Notes taken by Felix Schlenk. Zbl 0970.57001
Turaev, V. G.
112
2001
Skein quantization of Poisson algebras of loops on surfaces. Zbl 0758.57011
Turaev, Vladimir G.
109
1991
Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier. Zbl 1243.81016
Turaev, Vladimir
93
2010
Reidemeister torsion in knot theory. Zbl 0602.57005
Turaev, V. G.
83
1986
Quantum invariants of knots and 3-manifolds. 3rd edition. Zbl 1346.57002
Turaev, Vladimir G.
71
2016
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
71
1997
Quantum invariants of knots and 3-manifolds. 2nd revised ed. Zbl 1213.57002
Turaev, Vladimir G.
68
2010
Monoidal categories and topological field theory. Zbl 1423.18001
Turaev, Vladimir; Virelizier, Alexis
65
2017
Torsions of 3-dimensional manifolds. Zbl 1012.57002
Turaev, V.
58
2002
Virtual strings. Zbl 1066.57022
Turaev, Vladimir
58
2004
Invariants of knots and 3-manifolds from quantum groupoids. Zbl 1021.16026
Nikshych, Dmitri; Turaev, Vladimir; Vainerman, Leonid
55
2003
Torsion invariants of Spin\(^c\)-structures on 3-manifolds. Zbl 0891.57019
Turaev, Vladimir
55
1997
Operator invariants of tangles, and R-matrices. Zbl 0707.57003
Turaev, V. G.
52
1990
The Conway and Kauffman modules of the solid torus. Zbl 0673.57004
Turaev, V. G.
51
1988
Modified quantum dimensions and re-normalized link invariants. Zbl 1160.81022
Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
51
2009
Knotoids. Zbl 1271.57030
Turaev, Vladimir
50
2012
Quantum invariants of 3-manifolds associated with classical simple Lie algebras. Zbl 0784.57007
Turaev, V.; Wenzl, H.
43
1993
Conway and Kauffman modules of a solid torus. Zbl 0706.57004
Turaev, V. G.
43
1990
Euler structures, nonsingular vector fields, and torsions of Reidemeister type. Zbl 0692.57015
Turaev, V. G.
42
1990
A simple proof of the Murasugi and Kauffman theorems on alternating links. Zbl 0668.57009
Turaev, V. G.
35
1987
Modular categories and 3-manifold invariants. Zbl 0798.57002
Turaev, Vladimir G.
33
1992
Topology of words. Zbl 1145.57018
Turaev, Vladimir
33
2007
Quantum groups and knot invariants. Zbl 0878.17013
Kassel, Christian; Rosso, Marc; Turaev, Vladimir
31
1997
Integrals for braided Hopf algebras. Zbl 0961.16023
Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir
28
2000
Crossed group-categories. Zbl 1185.18009
Turaev, Vladimir
27
2008
Cobordism of knots on surfaces. Zbl 1166.57008
Turaev, Vladimir
27
2008
Quasi-Poisson structures on representation spaces of surfaces. Zbl 1298.53085
Massuyeau, Gwénaël; Turaev, Vladimir
26
2014
Shadow links and face models of statistical mechanics. Zbl 0773.57012
Turaev, Vladimir G.
26
1992
Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020
Farber, Michael; Turaev, Vladimir
23
2000
Unoriented topological quantum field theory and link homology. Zbl 1134.57004
Turaev, Vladimir; Turner, Paul
22
2006
A combinatorial formulation for the Seiberg-Witten invariants of 3-manifolds. Zbl 1002.57036
Turaev, Vladimir
21
1998
On 3-dimensional homotopy quantum field theory. I. Zbl 1254.57012
Turaev, Vladimir; Virelizier, Alexis
21
2012
Semisimple and modular categories from link invariants. Zbl 0888.18001
Turaev, Vladimir; Wenzl, Hans
18
1997
Double construction for monoidal categories. Zbl 0833.18005
Kassel, Christian; Turaev, Vladimir
17
1995
Milnor invariants and Massey products. Zbl 0354.55013
Turaev, V. G.
17
1976
On reciprocity. Zbl 1167.11030
Deloup, Florian; Turaev, Vladimir
16
2007
On 3-dimensional homotopy quantum field theory II: the surgery approach. Zbl 1296.57016
Turaev, Vladimir; Virelizier, Alexis
16
2014
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
15
2007
On 3-dimensional homotopy quantum field theory III: comparison of two approaches. Zbl 1473.57032
Turaev, Vladimir; Virelizier, Alexis
14
2020
Lectures on topology of words. Zbl 1162.68034
Turaev, Vladimir
13
2007
Fox pairings and generalized Dehn twists. (Formes de Fox et twists de Dehn généralisés.) Zbl 1297.57005
Massuyeau, Gwénaël; Turaev, Vladimir
12
2013
Modified \(6j\)-symbols and 3-manifold invariants. Zbl 1237.57011
Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
12
2011
The Alexander polynomial of a 3-dimensional manifold. Zbl 0315.57001
Turaev, V. G.
11
1975
Torsions of \(3\)-manifolds. Zbl 1012.57034
Turaev, Vladimir
11
2002
Biquantization of Lie bialgebras. Zbl 1040.17008
Kassel, Christian; Turaev, Vladimir
11
2000
Quantum invariants of 3-manifolds and a glimpse of shadow topology. Zbl 0752.57009
Turaev, Vladimir
10
1991
Intersections of loops in two-dimensional manifolds. Zbl 0422.57005
Turaev, V. G.
10
1979
Chord diagram invariants of tangles and graphs. Zbl 0947.57010
Kassel, Christian; Turaev, Vladimir
10
1998
Faithful linear representations of the braid groups. Zbl 1050.20026
Turaev, Vladimir
10
2002
A Lagrangian representation of tangles. Zbl 1071.57006
Cimasoni, David; Turaev, Vladimir
10
2005
A generalization of several classical invariants of links. Zbl 1148.57005
Cimasoni, David; Turaev, Vladimir
10
2007
Dijkgraaf-Witten invariants of surfaces and projective representations of groups. Zbl 1163.57021
Turaev, Vladimir
10
2007
On the graded center of graded categories. Zbl 1301.18012
Turaev, Vladimir; Virelizier, Alexis
9
2013
Quantum invariants of links and 3-valent graphs in 3-manifolds. Zbl 0822.57012
Turaev, Vladimir
9
1993
A norm for the cohomology of 2-complexes. Zbl 1014.57002
Turaev, Vladimir
9
2002
Cohomology rings, linking forms and invariants of spin structures of three-dimensional manifolds. Zbl 0553.57004
Turaev, V. G.
9
1984
Tetrahedral forms in monoidal categories and 3-manifold invariants. Zbl 1261.57013
Geer, Nathan; Kashaev, Rinat; Turaev, Vladimir
9
2012
Knots and words. Zbl 1118.57009
Turaev, Vladimir
9
2006
Classification of oriented Montesinos links via spin structures. Zbl 0648.57002
Turaev, V. G.
8
1988
Reidemeister torsion and the Alexander polynomial. Zbl 0381.57003
Turaev, V. G.
8
1978
Schnitte von Schleifen in zweidimensionalen Mannigfaltigkeiten. Zbl 0384.57004
Turaev, V. G.
8
1978
Absolute torsion. Zbl 0934.57030
Farber, Michael; Turaev, Vladimir
8
1999
A compactification of the Hurwitz space. Zbl 0929.57001
Natanzon, Sergei; Turaev, Vladimir
8
1999
Formal homotopy quantum field theories. I: Formal maps and crossed \(\mathcal{C}\)-algebras. Zbl 1205.57024
Porter, Timothy; Turaev, Vladimir
8
2008
Milnor invariants and Massay products. Zbl 0406.55017
Turaev, V. G.
7
1979
Algebras of loops on surfaces, algebras of knots, and quantization. Zbl 0732.57008
Turaev, V. G.
7
1989
Reciprocity for Gauss sums on finite Abelian groups. Zbl 1048.11501
Turaev, Vladimir
7
1998
A cocycle for the symplectic first Chern class and Maslov indices. Zbl 0556.55012
Turaev, V. G.
7
1984
Cohomology ring forms of linking coefficients and invariants of spinor structures in three-dimensional manifolds. Zbl 0519.57009
Turaev, V. G.
7
1983
A semigroup of theta-curves in 3-manifolds. Zbl 1284.57012
Matveev, Sergei; Turaev, Vladimir
7
2011
Nilpotent homotopy types of closed 3-manifolds. Zbl 0564.57008
Turaev, V. G.
6
1984
A cocycle for the symplectic first Chern class and the Maslov index. Zbl 0577.55011
Turaev, V. G.
6
1984
Quantum groups and ribbon \(G\)-categories. Zbl 1035.57006
Le, Thang; Turaev, Vladimir
6
2003
Three-dimensional Poincaré complexes: Homotopy classification and splitting. Zbl 0693.57013
Turaev, V. G.
6
1989
Three-dimensional Poincaré complexes: Homotopy classification and splitting. Zbl 0717.57008
Turaev, V. G.
6
1990
First symplectic Chern class and Maslov indices. Zbl 0612.55019
Turaev, V. G.
6
1987
Quantum invariants of 3-manifold and a glimpse of shadow topology. Zbl 0752.57010
Turaev, Vladimir
5
1992
State sum models in low-dimensional topology. Zbl 0744.57007
Turaev, Vladimir G.
5
1991
On the definition of the 2-category of 2-knots. Zbl 0851.18003
Kharlamov, V. M.; Turaev, V. G.
5
1996
Loops on surfaces, Feynman diagrams, and trees. Zbl 1094.57022
Turaev, Vladimir
5
2005
Curves on surfaces, charts, and words. Zbl 1126.57010
Turaev, Vladimir
5
2005
A function on the homology of 3-manifolds. Zbl 1145.57011
Turaev, Vladimir
5
2007
A canonical cocycle for the Euler class of a flat vector bundle. Zbl 0518.57012
Ivanov, V. N.; Turaev, V. G.
5
1982
Homeomorphisms of geometric three-dimensional manifolds. Zbl 0659.57007
Turaev, V. G.
4
1988
The Alexander polynomial of a three-dimensional manifold. Zbl 0339.57002
Turaev, V. G.
4
1976
Die Reidemeistersche Torsion und das Alexandersche Polynom. Zbl 0364.57004
Turaev, V. G.
4
1976
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
4
1995
Algebras of loops on surfaces, algebras of knots, and quantization. Zbl 0853.57016
Turaev, V. G.
4
1994
Kuperberg and Turaev-Viro invariants in unimodular categories. Zbl 1454.18014
Costantino, Francesco; Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
4
2020
On certain enumeration problems in two-dimensional topology. Zbl 1175.57013
Turaev, Vladimir
4
2009
Intersections of loops in two-dimensional manifolds. II: Free loops. Zbl 0543.57007
Turaev, V. G.; Viro, O. Ya.
4
1984
The first symplectic Chern class and the Maslov indices. Zbl 0577.55012
Turaev, V. G.
3
1985
Complexity of virtual 3-manifolds. Zbl 1362.57028
Vesnin, Andrei Yu.; Turaev, Vladimir G.; Fominykh, Evgeny A.
3
2016
Towards the topological classification of geometric 3-manifolds. Zbl 0651.57011
Turaev, V. G.
3
1988
Topological constructions of tensor fields on moduli spaces. Zbl 1481.57023
Turaev, Vladimir
3
2021
Loops in surfaces and star-fillings. Zbl 1497.55009
Turaev, Vladimir
2
2021
On 3-dimensional homotopy quantum field theory III: comparison of two approaches. Zbl 1473.57032
Turaev, Vladimir; Virelizier, Alexis
14
2020
Kuperberg and Turaev-Viro invariants in unimodular categories. Zbl 1454.18014
Costantino, Francesco; Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
4
2020
Quasi-Poisson structures on moduli spaces of quasi-surfaces. Zbl 1495.17034
Turaev, Vladimir
1
2020
Brackets in representation algebras of Hopf algebras. Zbl 1464.17026
Massuyeau, Gwénaël; Turaev, Vladimir
1
2018
Trimming of metric spaces and the tight span. Zbl 1402.54029
Turaev, Vladimir
1
2018
Monoidal categories and topological field theory. Zbl 1423.18001
Turaev, Vladimir; Virelizier, Alexis
65
2017
Brackets in the Pontryagin algebras of manifolds. (Crochets dans les algèbres de Pontryagin des variétés.) Zbl 1416.17012
Massuyeau, Gwénaël; Turaev, Vladimir
2
2017
Quantum invariants of knots and 3-manifolds. 3rd edition. Zbl 1346.57002
Turaev, Vladimir G.
71
2016
Complexity of virtual 3-manifolds. Zbl 1362.57028
Vesnin, Andrei Yu.; Turaev, Vladimir G.; Fominykh, Evgeny A.
3
2016
Three-dimensional manifolds with poor spines. Zbl 1328.57026
Vesnin, A. Yu.; Turaev, V. G.; Fominykh, E. A.
2
2015
Dijkgraaf-Witten invariants over \(\mathbb Z_2\) for 3-manifolds. Zbl 1327.57019
Matveev, S. V.; Turaev, V. G.
2
2015
Quasi-Poisson structures on representation spaces of surfaces. Zbl 1298.53085
Massuyeau, Gwénaël; Turaev, Vladimir
26
2014
On 3-dimensional homotopy quantum field theory II: the surgery approach. Zbl 1296.57016
Turaev, Vladimir; Virelizier, Alexis
16
2014
Poisson-Gerstenhaber brackets in representation algebras. Zbl 1308.17027
Turaev, Vladimir
3
2014
Fox pairings and generalized Dehn twists. (Formes de Fox et twists de Dehn généralisés.) Zbl 1297.57005
Massuyeau, Gwénaël; Turaev, Vladimir
12
2013
On the graded center of graded categories. Zbl 1301.18012
Turaev, Vladimir; Virelizier, Alexis
9
2013
Marked fatgraph complexes and surface automorphisms. Zbl 1367.57012
Kuno, Yusuke; Penner, R. C.; Turaev, Vladimir
2
2013
Knotoids. Zbl 1271.57030
Turaev, Vladimir
50
2012
On 3-dimensional homotopy quantum field theory. I. Zbl 1254.57012
Turaev, Vladimir; Virelizier, Alexis
21
2012
Tetrahedral forms in monoidal categories and 3-manifold invariants. Zbl 1261.57013
Geer, Nathan; Kashaev, Rinat; Turaev, Vladimir
9
2012
Modified \(6j\)-symbols and 3-manifold invariants. Zbl 1237.57011
Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
12
2011
A semigroup of theta-curves in 3-manifolds. Zbl 1284.57012
Matveev, Sergei; Turaev, Vladimir
7
2011
Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier. Zbl 1243.81016
Turaev, Vladimir
93
2010
Quantum invariants of knots and 3-manifolds. 2nd revised ed. Zbl 1213.57002
Turaev, Vladimir G.
68
2010
Remarks on 2-dimensional HQFTs. Zbl 1226.57043
Staic, Mihai D.; Turaev, Vladimir
3
2010
Enumeration of lifts of commuting elements of a group. Zbl 1214.20012
Natapov, Michael; Turaev, Vladimir
1
2010
Modified quantum dimensions and re-normalized link invariants. Zbl 1160.81022
Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir
51
2009
On certain enumeration problems in two-dimensional topology. Zbl 1175.57013
Turaev, Vladimir
4
2009
Braid groups. With the graphical assistance of Olivier Dodane. Zbl 1208.20041
Kassel, Christian; Turaev, Vladimir
179
2008
Crossed group-categories. Zbl 1185.18009
Turaev, Vladimir
27
2008
Cobordism of knots on surfaces. Zbl 1166.57008
Turaev, Vladimir
27
2008
Formal homotopy quantum field theories. I: Formal maps and crossed \(\mathcal{C}\)-algebras. Zbl 1205.57024
Porter, Timothy; Turaev, Vladimir
8
2008
Cobordisms of words. Zbl 1221.57032
Turaev, Vladimir
3
2008
Topology of words. Zbl 1145.57018
Turaev, Vladimir
33
2007
On reciprocity. Zbl 1167.11030
Deloup, Florian; Turaev, Vladimir
16
2007
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
15
2007
Lectures on topology of words. Zbl 1162.68034
Turaev, Vladimir
13
2007
A generalization of several classical invariants of links. Zbl 1148.57005
Cimasoni, David; Turaev, Vladimir
10
2007
Dijkgraaf-Witten invariants of surfaces and projective representations of groups. Zbl 1163.57021
Turaev, Vladimir
10
2007
A function on the homology of 3-manifolds. Zbl 1145.57011
Turaev, Vladimir
5
2007
Coalgebras of words and phrases. Zbl 1136.16037
Turaev, Vladimir
2
2007
Unoriented topological quantum field theory and link homology. Zbl 1134.57004
Turaev, Vladimir; Turner, Paul
22
2006
Knots and words. Zbl 1118.57009
Turaev, Vladimir
9
2006
A Lagrangian representation of tangles. II. Zbl 1106.57004
Cimasoni, David; Turaev, Vladimir
3
2006
A Lagrangian representation of tangles. Zbl 1071.57006
Cimasoni, David; Turaev, Vladimir
10
2005
Loops on surfaces, Feynman diagrams, and trees. Zbl 1094.57022
Turaev, Vladimir
5
2005
Curves on surfaces, charts, and words. Zbl 1126.57010
Turaev, Vladimir
5
2005
Knot theory for self-indexed graphs. Zbl 1074.57005
Graña, Matías; Turaev, Vladimir
1
2005
Virtual strings. Zbl 1066.57022
Turaev, Vladimir
58
2004
Invariants of knots and 3-manifolds from quantum groupoids. Zbl 1021.16026
Nikshych, Dmitri; Turaev, Vladimir; Vainerman, Leonid
55
2003
Quantum groups and ribbon \(G\)-categories. Zbl 1035.57006
Le, Thang; Turaev, Vladimir
6
2003
Torsions of 3-dimensional manifolds. Zbl 1012.57002
Turaev, V.
58
2002
Torsions of \(3\)-manifolds. Zbl 1012.57034
Turaev, Vladimir
11
2002
Faithful linear representations of the braid groups. Zbl 1050.20026
Turaev, Vladimir
10
2002
A norm for the cohomology of 2-complexes. Zbl 1014.57002
Turaev, Vladimir
9
2002
Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17–21, 2001. Zbl 0996.00037
1
2002
Introduction to combinatorial torsions. Notes taken by Felix Schlenk. Zbl 0970.57001
Turaev, V. G.
112
2001
Topology, ergodic theory, real algebraic geometry. Rokhlin’s memorial. Zbl 0961.00011
2
2001
Higher skein modules. II. Zbl 1008.57011
Andersen, Jørgen Ellegaard; Turaev, Vladimir
1
2001
Integrals for braided Hopf algebras. Zbl 0961.16023
Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir
28
2000
Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020
Farber, Michael; Turaev, Vladimir
23
2000
Biquantization of Lie bialgebras. Zbl 1040.17008
Kassel, Christian; Turaev, Vladimir
11
2000
Counting lattice points of rational polyhedra. Zbl 0988.52020
Chen, Beifang; Turaev, Vladimir
1
2000
Absolute torsion. Zbl 0934.57030
Farber, Michael; Turaev, Vladimir
8
1999
A compactification of the Hurwitz space. Zbl 0929.57001
Natanzon, Sergei; Turaev, Vladimir
8
1999
Higher skein modules. Zbl 0991.57015
Andersen, Jørgen Ellegaard; Turaev, Vladimir
2
1999
A combinatorial formulation for the Seiberg-Witten invariants of 3-manifolds. Zbl 1002.57036
Turaev, Vladimir
21
1998
Chord diagram invariants of tangles and graphs. Zbl 0947.57010
Kassel, Christian; Turaev, Vladimir
10
1998
Reciprocity for Gauss sums on finite Abelian groups. Zbl 1048.11501
Turaev, Vladimir
7
1998
Systems of correlators and solutions of the WDVV equations. Zbl 0906.35098
Natanzon, Sergei; Turaev, Vladimir
2
1998
Knot theory. Proceedings of the mini-semester, Warsaw, Poland, July 13–August 17, 1995. Zbl 0890.00048
1
1998
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions. Zbl 0974.17016
Frenkel, Igor B.; Turaev, Vladimir G.
71
1997
Torsion invariants of Spin\(^c\)-structures on 3-manifolds. Zbl 0891.57019
Turaev, Vladimir
55
1997
Quantum groups and knot invariants. Zbl 0878.17013
Kassel, Christian; Rosso, Marc; Turaev, Vladimir
31
1997
Semisimple and modular categories from link invariants. Zbl 0888.18001
Turaev, Vladimir; Wenzl, Hans
18
1997
The Conway and Kauffman modules of the solid torus. Zbl 0928.57014
Turaev, Vladimir G.
3
1997
On the definition of the 2-category of 2-knots. Zbl 0851.18003
Kharlamov, V. M.; Turaev, V. G.
5
1996
Double construction for monoidal categories. Zbl 0833.18005
Kassel, Christian; Turaev, Vladimir
17
1995
Trigonometric solutions of the Yang-Baxter equation, nets, and hypergeometric functions. Zbl 0864.57024
Frenkel, Igor B.; Turaev, Vladimir G.
4
1995
Quantum invariants of knots and 3-manifolds. Zbl 0812.57003
Turaev, V. G.
467
1994
Algebras of loops on surfaces, algebras of knots, and quantization. Zbl 0853.57016
Turaev, V. G.
4
1994
Axioms for topological quantum field theories. Zbl 0797.53058
Turaev, Vladimir G.
1
1994
Quantum invariants of 3-manifolds associated with classical simple Lie algebras. Zbl 0784.57007
Turaev, V.; Wenzl, H.
43
1993
Quantum invariants of links and 3-valent graphs in 3-manifolds. Zbl 0822.57012
Turaev, Vladimir
9
1993
State sum invariants of 3-manifolds and quantum \(6j\)-symbols. Zbl 0779.57009
Turaev, V. G.; Viro, O. Y.
394
1992
Modular categories and 3-manifold invariants. Zbl 0798.57002
Turaev, Vladimir G.
33
1992
Shadow links and face models of statistical mechanics. Zbl 0773.57012
Turaev, Vladimir G.
26
1992
Quantum invariants of 3-manifold and a glimpse of shadow topology. Zbl 0752.57010
Turaev, Vladimir
5
1992
Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007
Reshetikhin, N.; Turaev, V. G.
598
1991
Skein quantization of Poisson algebras of loops on surfaces. Zbl 0758.57011
Turaev, Vladimir G.
109
1991
Quantum invariants of 3-manifolds and a glimpse of shadow topology. Zbl 0752.57009
Turaev, Vladimir
10
1991
State sum models in low-dimensional topology. Zbl 0744.57007
Turaev, Vladimir G.
5
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
448
1990
Operator invariants of tangles, and R-matrices. Zbl 0707.57003
Turaev, V. G.
52
1990
Conway and Kauffman modules of a solid torus. Zbl 0706.57004
Turaev, V. G.
43
1990
Euler structures, nonsingular vector fields, and torsions of Reidemeister type. Zbl 0692.57015
Turaev, V. G.
42
1990
Three-dimensional Poincaré complexes: Homotopy classification and splitting. Zbl 0717.57008
Turaev, V. G.
6
1990
Elementary ideals of links and manifolds: Symmetry and asymmetry. Zbl 0715.57003
Turaev, V. G.
1
1990
...and 38 more Documents
all top 5

Cited by 2,544 Authors

47 Turaev, Vladimir Georgievich
46 Kauffman, Louis Hirsch
38 Schweigert, Christoph
36 Le, Thang Tu Quoc
35 Runkel, Ingo
34 Geer, Nathan
33 Morozov, Alexei Yurievich
31 Garoufalidis, Stavros
29 Patureau-Mirand, Bertrand
29 Wang, Shuanhong
28 Rowell, Eric C.
28 Wang, Zhenghan
27 Mironov, Andrei D.
24 Morozov, Andreĭ Alekseevich
21 Manturov, Vassiliĭ Olegovich
20 Friedl, Stefan
20 Fuchs, Jürgen
17 Andersen, Jørgen Ellegaard
15 Costantino, Francesco
15 Dittrich, Bianca
15 Gukov, Sergei
15 Reshetikhin, Nikolai Yu.
14 Gilmer, Patrick M.
14 Massuyeau, Gwénaël
13 Hikami, Kazuhiro
13 Lambropoulou, Sofia S. F.
13 Przytycki, Józef Henryk
12 Gainutdinov, Azat M.
12 Kong, Liang
12 Murakami, Jun
12 Schlosser, Michael J.
12 Thuillier, Frank
12 Xu, Feng
11 Diamantis, Ioannis
11 Kadokami, Teruhisa
11 Kuno, Yusuke
11 Majid, Shahn
11 Ramadevi, Pichai
11 Spiridonov, Vyacheslav Pavlovich
11 Tarkaev, Vladimir Viktorovich
11 Virelizier, Alexis
11 Wenzl, Hans
11 Woike, Lukas
11 Wong, Helen M.
10 Beliakova, Anna
10 Chrisman, Micah Whitney
10 Delcamp, Clement
10 Freedman, Michael Hartley
10 Gabrovšek, Boštjan
10 Kashaev, Rinat M.
10 Meusburger, Catherine
10 Ramgoolam, Sanjaye
10 Rozansky, Lev
10 Saito, Masahico
9 Alonso Álvarez, José Nicanor
9 Blanchet, Christian
9 Creutzig, Thomas
9 Galindo Martínez, César Neyit
9 González Rodríguez, Ramón
9 Hillman, Jonathan Arthur
9 Jones, Corey
9 Khovanov, Mikhail G.
9 Livine, Etera R.
9 Matveev, Sergeĭ Vladimirovich
9 Mroczkowski, Maciej
9 Murakami, Hitoshi
9 Ng, Siu-Hung
9 Nikshych, Dmitri
9 Nosaka, Takefumi
9 Riello, Aldo
9 Savage, Alistair
9 Schaumann, Gregor
9 Shimizu, Kenichi
9 Zhang, Ruibin
8 Alekseev, Anton Yur’evich
8 Baez, John C.
8 Barrett, John William
8 Boden, Hans U.
8 Bonahon, Francis
8 Detcherry, Renaud
8 Evans, David E.
8 Freed, Daniel Stuart
8 Freidel, Laurent
8 Frohman, Charles D.
8 Gannon, Terry
8 Gavarini, Fabio
8 Gould, Mark D.
8 Gügümcü, Neslihan
8 Habiro, Kazuo
8 Hajij, Mustafa
8 Huang, Yi-Zhi
8 Im, Young Ho
8 Kitayama, Takahiro
8 Koda, Yuya
8 Laugwitz, Robert
8 Marché, Julien
8 Marzuoli, Annalisa
8 Masbaum, Gregor
8 Müller, Lukas
8 Nawata, Satoshi
...and 2,444 more Authors
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Cited in 299 Serials

265 Journal of Knot Theory and its Ramifications
192 Communications in Mathematical Physics
131 Algebraic & Geometric Topology
112 Journal of High Energy Physics
103 Advances in Mathematics
103 Journal of Algebra
98 Journal of Mathematical Physics
74 Topology and its Applications
66 Transactions of the American Mathematical Society
60 Nuclear Physics. B
59 Journal of Pure and Applied Algebra
56 Journal of Geometry and Physics
51 Geometry & Topology
50 Quantum Topology
46 Letters in Mathematical Physics
42 Communications in Algebra
38 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
36 Proceedings of the American Mathematical Society
31 International Journal of Mathematics
30 Selecta Mathematica. New Series
25 Mathematical Proceedings of the Cambridge Philosophical Society
25 Journal of Physics A: Mathematical and Theoretical
24 Mathematische Annalen
23 Algebras and Representation Theory
23 Journal of Topology
22 Theoretical and Mathematical Physics
22 Duke Mathematical Journal
22 Communications in Contemporary Mathematics
21 Annals of Physics
19 Geometriae Dedicata
19 Applied Categorical Structures
19 Annales Henri Poincaré
18 Annales de l’Institut Fourier
18 Inventiones Mathematicae
18 Journal of Algebra and its Applications
16 Mathematische Zeitschrift
16 Bulletin of the American Mathematical Society. New Series
16 Theory and Applications of Categories
15 Classical and Quantum Gravity
14 Acta Mathematica Vietnamica
14 Osaka Journal of Mathematics
14 Journal of Mathematical Sciences (New York)
13 International Journal of Modern Physics A
13 Journal of the London Mathematical Society. Second Series
12 Israel Journal of Mathematics
12 Physics Letters. B
12 Reviews in Mathematical Physics
12 Manuscripta Mathematica
11 Compositio Mathematica
11 Indiana University Mathematics Journal
11 Journal of the American Mathematical Society
11 Transformation Groups
11 SciPost Physics
10 European Journal of Combinatorics
10 Experimental Mathematics
10 The Ramanujan Journal
9 Fundamenta Mathematicae
9 Pacific Journal of Mathematics
9 Siberian Mathematical Journal
9 Journal of Algebraic Combinatorics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Winter Braids Lecture Notes
8 Discrete Mathematics
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 St. Petersburg Mathematical Journal
8 Mediterranean Journal of Mathematics
8 Journal of Noncommutative Geometry
7 Mathematical Notes
7 Memoirs of the American Mathematical Society
7 Proceedings of the London Mathematical Society. Third Series
7 Acta Mathematica Sinica. English Series
7 Proceedings of the Steklov Institute of Mathematics
7 Science China. Mathematics
6 General Relativity and Gravitation
6 Bulletin of the London Mathematical Society
6 Canadian Journal of Mathematics
6 Journal of Combinatorial Theory. Series A
6 Journal of the European Mathematical Society (JEMS)
6 Quantum Information Processing
6 Research in the Mathematical Sciences
6 Algebraic Combinatorics
5 Bulletin of the Australian Mathematical Society
5 Rocky Mountain Journal of Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal für die Reine und Angewandte Mathematik
5 Journal of Soviet Mathematics
5 Tôhoku Mathematical Journal. Second Series
5 Tokyo Journal of Mathematics
5 Annales Mathématiques Blaise Pascal
5 Doklady Mathematics
5 International Journal of Geometric Methods in Modern Physics
5 Oberwolfach Reports
4 Modern Physics Letters A
4 Chaos, Solitons and Fractals
4 Bulletin de la Société Mathématique de France
4 Canadian Mathematical Bulletin
4 Glasgow Mathematical Journal
4 Journal of Combinatorial Theory. Series B
4 Journal of Differential Geometry
...and 199 more Serials
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Cited in 56 Fields

1,641 Manifolds and cell complexes (57-XX)
869 Quantum theory (81-XX)
528 Category theory; homological algebra (18-XX)
499 Associative rings and algebras (16-XX)
490 Nonassociative rings and algebras (17-XX)
372 Group theory and generalizations (20-XX)
181 Global analysis, analysis on manifolds (58-XX)
169 Differential geometry (53-XX)
148 Algebraic geometry (14-XX)
140 Relativity and gravitational theory (83-XX)
133 Combinatorics (05-XX)
103 Functional analysis (46-XX)
94 Number theory (11-XX)
90 Algebraic topology (55-XX)
88 Special functions (33-XX)
81 Statistical mechanics, structure of matter (82-XX)
67 Topological groups, Lie groups (22-XX)
60 Dynamical systems and ergodic theory (37-XX)
47 Several complex variables and analytic spaces (32-XX)
35 Computer science (68-XX)
34 Commutative algebra (13-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
32 \(K\)-theory (19-XX)
26 Functions of a complex variable (30-XX)
18 Probability theory and stochastic processes (60-XX)
15 History and biography (01-XX)
15 Partial differential equations (35-XX)
14 Mechanics of particles and systems (70-XX)
14 Information and communication theory, circuits (94-XX)
13 General and overarching topics; collections (00-XX)
13 Geometry (51-XX)
12 Convex and discrete geometry (52-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Operator theory (47-XX)
10 Mathematical logic and foundations (03-XX)
9 Difference and functional equations (39-XX)
9 General topology (54-XX)
7 Field theory and polynomials (12-XX)
7 Abstract harmonic analysis (43-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
4 General algebraic systems (08-XX)
4 Statistics (62-XX)
4 Numerical analysis (65-XX)
4 Biology and other natural sciences (92-XX)
3 Approximations and expansions (41-XX)
3 Fluid mechanics (76-XX)
3 Operations research, mathematical programming (90-XX)
2 Ordinary differential equations (34-XX)
2 Sequences, series, summability (40-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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