Compute Distance To:
 Documents Indexed: 43 Publications since 1992, including 2 Books 1 Contribution as Editor Co-Authors: 16 Co-Authors with 21 Joint Publications 242 Co-Co-Authors
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### Co-Authors

 23 single-authored 8 Murakami, Hitoshi 6 Le, Thang Tu Quoc 6 Murakami, Jun 3 Garoufalidis, Stavros 2 Takata, Toshie 2 Yamada, Shuji 1 Akutsu, Yasuhiro 1 Deguchi, Tetsuo 1 Kohno, Toshitake 1 Kuriya, Takahito 1 Moskovich, Daniel 1 Okada, Masae 1 Riley, Robert F. 1 Sakuma, Makoto 1 Turaev, Vladimir Georgievich 1 Yokota, Yoshiyuki
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### Serials

 4 Journal of Knot Theory and its Ramifications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Topology 3 Geometry & Topology 2 Communications in Mathematical Physics 2 Osaka Journal of Mathematics 2 International Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology and its Applications 1 Kobe Journal of Mathematics 1 Sūgaku 1 Sugaku Expositions 1 L’Enseignement Mathématique. 2e Série 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Algebraic & Geometric Topology 1 Series on Knots and Everything 1 Geometry and Topology Monographs 1 MSJ Memoirs 1 Journal of Topology 1 Quantum Topology
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### Fields

 44 Manifolds and cell complexes (57-XX) 5 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 577 times in 404 Documents Cited by Year
On a universal perturbative invariant of 3-manifolds. Zbl 0897.57017
Le, Thang T. Q.; Murakami, Jun; Ohtsuki, Tomotada
1998
Problems on invariants of knots and 3-manifolds. Zbl 1163.57302
Ohtsuki, T.
2002
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
1998
Quantum invariants. A study of knots, 3-manifolds, and their sets. Zbl 0991.57001
2002
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
1992
Epimorphisms between 2-bridge link groups. Zbl 1146.57011
Ohtsuki, Tomotada; Riley, Robert; Sakuma, Makoto
2008
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
1996
A polynomial invariant of rational homology $$3$$-spheres. Zbl 0855.57016
1996
A polynomial invariant of integral homology 3-spheres. Zbl 0843.57019
1995
Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006
1993
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
1992
Topological quantum field theory for the universal quantum invariant. Zbl 0938.57022
Murakami, J.; Ohtsuki, T.
1997
Ideal points and incompressible surfaces in two-bridge knot complements. Zbl 0837.57006
1994
Quantum $$\mathrm{SU}(3)$$ invariant of 3-manifolds via linear skein theory. Zbl 0949.57011
1997
On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013
2015
On the asymptotic expansion of the Kashaev invariant of the $$5_2$$ knot. Zbl 1393.57014
2016
Invariants of 3-manifolds derived from universal invariants of framed links. Zbl 0859.57018
1995
On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. Zbl 1412.57008
2018
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
1998
On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. Zbl 1388.57014
2017
A cabling formula for the 2-loop polynomial of knots. Zbl 1097.57016
2004
The perturbative $$SO(3)$$ invariant of rational homology 3-spheres recovers from the universal perturbative invariant. Zbl 1006.57006
2000
On the 2-loop polynomial of knots. Zbl 1154.57012
2007
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
2001
A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011
Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1995
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1999
On the asymptotic expansion of the quantum SU(2) invariant at $$q =exp(4{\pi}\sqrt{-1}/N$$) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot. Zbl 07006390
2018
How to construct ideal points of $$\text{SL}_2({\mathbb{C}})$$ representation spaces of knot groups. Zbl 0924.57004
1999
Vanishing of 3-loop Jacobi diagrams of odd degree. Zbl 1118.57015
2007
Equivariant quantum invariants of the infinite cyclic covers of knot complements. Zbl 1161.57006
2007
Invariants of knots and 3-manifolds. Zbl 1198.57009
2007
Perturbative invariants of 3-manifolds with the first Betti number 1. Zbl 1221.57026
2010
Invariants of knots derived from equivariant linking matrices of their surgery presentations. Zbl 1176.57017
2009
On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019
1997
Quantum $$Sp(n)$$ invariant of links via an invariant of colored planar graphs. Zbl 0881.57005
1996
A filtration of the set of integral homological 3-spheres. Zbl 0907.57012
1998
Combinatorial quantum method in 3-dimensional topology. Zbl 0946.57015
1999
Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17–21, 2001. Zbl 0996.00037
2002
The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant. Zbl 1259.57005
Kuriya, Takahito; Le, Thang T. Q.; Ohtsuki, Tomotada
2012
On the quantum $$\mathrm{SU}(2)$$ invariant at $$q= \exp (4\pi \sqrt{-1}/N)$$ and the twisted Reidemeister torsion for some closed 3-manifolds. Zbl 1441.57011
2019
On the quantum $$\mathrm{SU}(2)$$ invariant at $$q= \exp (4\pi \sqrt{-1}/N)$$ and the twisted Reidemeister torsion for some closed 3-manifolds. Zbl 1441.57011
2019
On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. Zbl 1412.57008
2018
On the asymptotic expansion of the quantum SU(2) invariant at $$q =exp(4{\pi}\sqrt{-1}/N$$) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot. Zbl 07006390
2018
On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. Zbl 1388.57014
2017
On the asymptotic expansion of the Kashaev invariant of the $$5_2$$ knot. Zbl 1393.57014
2016
On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013
2015
The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant. Zbl 1259.57005
Kuriya, Takahito; Le, Thang T. Q.; Ohtsuki, Tomotada
2012
Perturbative invariants of 3-manifolds with the first Betti number 1. Zbl 1221.57026
2010
Invariants of knots derived from equivariant linking matrices of their surgery presentations. Zbl 1176.57017
2009
Epimorphisms between 2-bridge link groups. Zbl 1146.57011
Ohtsuki, Tomotada; Riley, Robert; Sakuma, Makoto
2008
On the 2-loop polynomial of knots. Zbl 1154.57012
2007
Vanishing of 3-loop Jacobi diagrams of odd degree. Zbl 1118.57015
2007
Equivariant quantum invariants of the infinite cyclic covers of knot complements. Zbl 1161.57006
2007
Invariants of knots and 3-manifolds. Zbl 1198.57009
2007
A cabling formula for the 2-loop polynomial of knots. Zbl 1097.57016
2004
Problems on invariants of knots and 3-manifolds. Zbl 1163.57302
Ohtsuki, T.
2002
Quantum invariants. A study of knots, 3-manifolds, and their sets. Zbl 0991.57001
2002
Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17–21, 2001. Zbl 0996.00037
2002
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
2001
The perturbative $$SO(3)$$ invariant of rational homology 3-spheres recovers from the universal perturbative invariant. Zbl 1006.57006
2000
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1999
How to construct ideal points of $$\text{SL}_2({\mathbb{C}})$$ representation spaces of knot groups. Zbl 0924.57004
1999
Combinatorial quantum method in 3-dimensional topology. Zbl 0946.57015
1999
On a universal perturbative invariant of 3-manifolds. Zbl 0897.57017
Le, Thang T. Q.; Murakami, Jun; Ohtsuki, Tomotada
1998
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
1998
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
1998
A filtration of the set of integral homological 3-spheres. Zbl 0907.57012
1998
Topological quantum field theory for the universal quantum invariant. Zbl 0938.57022
Murakami, J.; Ohtsuki, T.
1997
Quantum $$\mathrm{SU}(3)$$ invariant of 3-manifolds via linear skein theory. Zbl 0949.57011
1997
On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019
1997
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
1996
A polynomial invariant of rational homology $$3$$-spheres. Zbl 0855.57016
1996
Quantum $$Sp(n)$$ invariant of links via an invariant of colored planar graphs. Zbl 0881.57005
1996
A polynomial invariant of integral homology 3-spheres. Zbl 0843.57019
1995
Invariants of 3-manifolds derived from universal invariants of framed links. Zbl 0859.57018
1995
A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011
Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1995
Ideal points and incompressible surfaces in two-bridge knot complements. Zbl 0837.57006
1994
Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006
1993
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
1992
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
1992
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### Cited by 391 Authors

 22 Geer, Nathan 20 Patureau-Mirand, Bertrand 15 Garoufalidis, Stavros 13 Ohtsuki, Tomotada 12 Le, Thang Tu Quoc 10 Habiro, Kazuo 9 Massuyeau, Gwénaël 9 Sakuma, Makoto 8 Bar-Natan, Dror 8 Lee, Donghi 8 Meilhan, Jean-Baptiste 7 Gukov, Sergei 7 Murakami, Jun 7 Rozansky, Lev 7 Takata, Toshie 6 Costantino, Francesco 6 Hoste, Jim 6 Ishii, Atsushi 6 Ito, Tetsuya 6 Manturov, Vassiliĭ Olegovich 6 Shanahan, Patrick D. 6 Suzuki, Sakie 5 Blanchet, Christian 5 Lawrence, Ruth J. 5 Murakami, Hitoshi 5 Stošić, Marko 5 Suzuki, Masaaki 4 Kauffman, Louis Hirsch 4 Levine, Jerome P. 4 Robert, Louis-Hadrien 4 Thuillier, Frank 4 Tran, Anh Tuan 3 Andersen, Jørgen Ellegaard 3 Chen, Qi 3 Curtis, Cynthia L. 3 Dancso, Zsuzsanna 3 De Renzi, Marco 3 De Wit, David 3 Frohman, Charles D. 3 Hikami, Kazuhiro 3 Hsieh, Chun-Chung 3 Lescop, Christine 3 Lin, Xiao-Song 3 Marché, Julien 3 Moussard, Delphine 3 Nagasato, Fumikazu 3 Nawata, Satoshi 3 Nosaka, Takefumi 3 Rose, David E. V. 3 Sikora, Adam S. 3 van der Veen, Roland 3 Wagner, Emmanuel 3 Wu, Hao 3 Yuasa, Wataru 2 Abe, Sukuse 2 Anghel, Cristina Ana-Maria 2 Beliakova, Anna 2 Boden, Hans U. 2 Bryden, John M. 2 Cautis, Sabin 2 Chbili, Nafaa 2 Cheptea, Dorin 2 Conant, James 2 Creutzig, Thomas 2 Elhamdadi, Mohamed 2 Funar, Louis 2 Gainutdinov, Azat M. 2 Gilmer, Patrick M. 2 Ha, Ngoc Phu 2 Himpel, Benjamin 2 Hirasawa, Mikami 2 Il’yutko, Denis Petrovich 2 Ishikawa, Masaharu 2 Jackson, David M. 2 Kamnitzer, Joel 2 Kanenobu, Taizo 2 Karuo, Hiroaki 2 Kim, Dongseok 2 Kim, Taehee 2 Kitano, Teruaki 2 Krasner, Daniel 2 Kricker, Andrew 2 Kuppum, Srikanth 2 Lauda, Aaron D. 2 Mackaay, Marco 2 Mariño, Marcos 2 Mathieu, Philippe 2 Mattman, Thomas W. 2 Morifuji, Takayuki 2 Morrison, Scott 2 Murasugi, Kunio 2 Oblomkov, Alexei A. 2 Ochiai, Tomoshiro 2 Park, Sunghyuk 2 Porti, Joan 2 Przytycki, Józef H. 2 Queffelec, Hoel 2 Quesne, Christiane 2 Reshetikhin, Nikolai Yu. 2 Rupert, Matthew ...and 291 more Authors
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### Cited in 84 Serials

 75 Journal of Knot Theory and its Ramifications 46 Algebraic & Geometric Topology 24 Topology and its Applications 17 Geometry & Topology 16 International Journal of Mathematics 15 Communications in Mathematical Physics 14 Quantum Topology 12 Transactions of the American Mathematical Society 11 Journal of Pure and Applied Algebra 10 Journal of Mathematical Physics 9 Advances in Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of Geometry and Physics 6 Mathematische Annalen 6 Selecta Mathematica. New Series 6 Journal of High Energy Physics 5 Acta Mathematica Vietnamica 5 Geometriae Dedicata 4 Duke Mathematical Journal 4 Journal of Algebra 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Journal of Algebraic Combinatorics 4 Communications in Contemporary Mathematics 4 Journal of Topology 3 Letters in Mathematical Physics 3 Inventiones Mathematicae 3 Osaka Journal of Mathematics 3 Tokyo Journal of Mathematics 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Hiroshima Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Combinatorial Theory. Series A 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Winter Braids Lecture Notes 1 Communications in Algebra 1 Mathematical Notes 1 Physica A 1 Arkiv för Matematik 1 Mathematics of Computation 1 Fortschritte der Physik 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Quaestiones Mathematicae 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Combinatorica 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Expositiones Mathematicae 1 Chinese Science Bulletin 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 Representation Theory 1 Annals of Combinatorics 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Advances in Mathematical Physics 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Applied and Computational Topology
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### Cited in 33 Fields

 362 Manifolds and cell complexes (57-XX) 65 Nonassociative rings and algebras (17-XX) 55 Quantum theory (81-XX) 34 Group theory and generalizations (20-XX) 25 Category theory; homological algebra (18-XX) 21 Associative rings and algebras (16-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Algebraic geometry (14-XX) 15 Combinatorics (05-XX) 15 Number theory (11-XX) 12 Differential geometry (53-XX) 10 Algebraic topology (55-XX) 6 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 $$K$$-theory (19-XX) 2 Difference and functional equations (39-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX)

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