Edit Profile (opens in new tab) Ohtsuki, Tomotada Compute Distance To: Compute Author ID: ohtsuki.tomotada Published as: Ohtsuki, Tomotada; Ohtsuki, T. Homepage: http://www.kurims.kyoto-u.ac.jp/~tomotada/index-e.html External Links: MGP · Wikidata 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0897.57017Le, Thang T. Q.; Murakami, Jun; Ohtsuki, Tomotada 60 1998 Problems on invariants of knots and 3-manifolds. Zbl 1163.57302Ohtsuki, T. 58 2002 Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014Murakami, Hitoshi; Ohtsuki, Tomotada; Yamada, Shuji 54 1998 Quantum invariants. A study of knots, 3-manifolds, and their sets. Zbl 0991.57001Ohtsuki, Tomotada 49 2002 Invariants of colored links. Zbl 0758.57004Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada 40 1992 Epimorphisms between 2-bridge link groups. Zbl 1146.57011Ohtsuki, Tomotada; Riley, Robert; Sakuma, Makoto 37 2008 Finite type invariants of integral homology 3-spheres. Zbl 0942.57009Ohtsuki, Tomotada 32 1996 A polynomial invariant of rational homology \(3\)-spheres. Zbl 0855.57016Ohtsuki, Tomotada 31 1996 A polynomial invariant of integral homology 3-spheres. Zbl 0843.57019Ohtsuki, Tomotada 23 1995 Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006Ohtsuki, Tomotada 20 1993 Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009Murakami, Hitoshi; Ohtsuki, Tomotada; Okada, Masae 19 1992 Topological quantum field theory for the universal quantum invariant. Zbl 0938.57022Murakami, J.; Ohtsuki, T. 17 1997 Ideal points and incompressible surfaces in two-bridge knot complements. Zbl 0837.57006Ohtsuki, Tomotada 16 1994 Quantum \(\mathrm{SU}(3)\) invariant of 3-manifolds via linear skein theory. Zbl 0949.57011Ohtsuki, Tomotada; Yamada, Shuji 15 1997 On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013Ohtsuki, Tomotada; Takata, Toshie 11 2015 On the asymptotic expansion of the Kashaev invariant of the \(5_2\) knot. Zbl 1393.57014Ohtsuki, Tomotada 11 2016 Invariants of 3-manifolds derived from universal invariants of framed links. Zbl 0859.57018Ohtsuki, Tomotada 10 1995 On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. Zbl 1412.57008Ohtsuki, Tomotada; Yokota, Yoshiyuki 10 2018 On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017Garoufalidis, Stavros; Ohtsuki, Tomotada 8 1998 On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. Zbl 1388.57014Ohtsuki, Tomotada 8 2017 A cabling formula for the 2-loop polynomial of knots. Zbl 1097.57016Ohtsuki, Tomotada 6 2004 The perturbative \(SO(3)\) invariant of rational homology 3-spheres recovers from the universal perturbative invariant. Zbl 1006.57006Ohtsuki, Tomotada 5 2000 On the 2-loop polynomial of knots. Zbl 1154.57012Ohtsuki, Tomotada 5 2007 Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004Murakami, Hitoshi; Ohtsuki, Tomotada 4 2001 A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada 3 1995 A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada 3 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 07006390Ohtsuki, Tomotada 3 2018 How to construct ideal points of \(\text{SL}_2({\mathbb{C}})\) representation spaces of knot groups. Zbl 0924.57004Ohtsuki, Tomotada 2 1999 Vanishing of 3-loop Jacobi diagrams of odd degree. Zbl 1118.57015Moskovich, Daniel; Ohtsuki, Tomotada 2 2007 Equivariant quantum invariants of the infinite cyclic covers of knot complements. Zbl 1161.57006Ohtsuki, Tomotada 2 2007 Invariants of knots and 3-manifolds. Zbl 1198.57009Ohtsuki, Tomotada 2 2007 Perturbative invariants of 3-manifolds with the first Betti number 1. Zbl 1221.57026Ohtsuki, Tomotada 2 2010 Invariants of knots derived from equivariant linking matrices of their surgery presentations. Zbl 1176.57017Ohtsuki, Tomotada 2 2009 On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019Garoufalidis, Stavros; Ohtsuki, Tomotada 1 1997 Quantum \(Sp(n)\) invariant of links via an invariant of colored planar graphs. Zbl 0881.57005Murakami, Hitoshi; Ohtsuki, Tomotada 1 1996 A filtration of the set of integral homological 3-spheres. Zbl 0907.57012Ohtsuki, Tomotada 1 1998 Combinatorial quantum method in 3-dimensional topology. Zbl 0946.57015Ohtsuki, Tomotada 1 1999 Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17–21, 2001. Zbl 0996.00037 1 2002 The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant. Zbl 1259.57005Kuriya, Takahito; Le, Thang T. Q.; Ohtsuki, Tomotada 1 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 1441.57011Ohtsuki, Tomotada; Takata, Toshie 1 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 1441.57011Ohtsuki, Tomotada; Takata, Toshie 1 2019 On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. Zbl 1412.57008Ohtsuki, Tomotada; Yokota, Yoshiyuki 10 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 07006390Ohtsuki, Tomotada 3 2018 On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. Zbl 1388.57014Ohtsuki, Tomotada 8 2017 On the asymptotic expansion of the Kashaev invariant of the \(5_2\) knot. Zbl 1393.57014Ohtsuki, Tomotada 11 2016 On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013Ohtsuki, Tomotada; Takata, Toshie 11 2015 The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant. Zbl 1259.57005Kuriya, Takahito; Le, Thang T. Q.; Ohtsuki, Tomotada 1 2012 Perturbative invariants of 3-manifolds with the first Betti number 1. Zbl 1221.57026Ohtsuki, Tomotada 2 2010 Invariants of knots derived from equivariant linking matrices of their surgery presentations. Zbl 1176.57017Ohtsuki, Tomotada 2 2009 Epimorphisms between 2-bridge link groups. Zbl 1146.57011Ohtsuki, Tomotada; Riley, Robert; Sakuma, Makoto 37 2008 On the 2-loop polynomial of knots. Zbl 1154.57012Ohtsuki, Tomotada 5 2007 Vanishing of 3-loop Jacobi diagrams of odd degree. Zbl 1118.57015Moskovich, Daniel; Ohtsuki, Tomotada 2 2007 Equivariant quantum invariants of the infinite cyclic covers of knot complements. Zbl 1161.57006Ohtsuki, Tomotada 2 2007 Invariants of knots and 3-manifolds. Zbl 1198.57009Ohtsuki, Tomotada 2 2007 A cabling formula for the 2-loop polynomial of knots. Zbl 1097.57016Ohtsuki, Tomotada 6 2004 Problems on invariants of knots and 3-manifolds. Zbl 1163.57302Ohtsuki, T. 58 2002 Quantum invariants. A study of knots, 3-manifolds, and their sets. Zbl 0991.57001Ohtsuki, Tomotada 49 2002 Invariants of knots and 3-manifolds. Proceedings of the workshop, Kyoto, Japan, September 17–21, 2001. Zbl 0996.00037 1 2002 Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004Murakami, Hitoshi; Ohtsuki, Tomotada 4 2001 The perturbative \(SO(3)\) invariant of rational homology 3-spheres recovers from the universal perturbative invariant. Zbl 1006.57006Ohtsuki, Tomotada 5 2000 A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada 3 1999 How to construct ideal points of \(\text{SL}_2({\mathbb{C}})\) representation spaces of knot groups. Zbl 0924.57004Ohtsuki, Tomotada 2 1999 Combinatorial quantum method in 3-dimensional topology. Zbl 0946.57015Ohtsuki, Tomotada 1 1999 On a universal perturbative invariant of 3-manifolds. Zbl 0897.57017Le, Thang T. Q.; Murakami, Jun; Ohtsuki, Tomotada 60 1998 Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014Murakami, Hitoshi; Ohtsuki, Tomotada; Yamada, Shuji 54 1998 On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017Garoufalidis, Stavros; Ohtsuki, Tomotada 8 1998 A filtration of the set of integral homological 3-spheres. Zbl 0907.57012Ohtsuki, Tomotada 1 1998 Topological quantum field theory for the universal quantum invariant. Zbl 0938.57022Murakami, J.; Ohtsuki, T. 17 1997 Quantum \(\mathrm{SU}(3)\) invariant of 3-manifolds via linear skein theory. Zbl 0949.57011Ohtsuki, Tomotada; Yamada, Shuji 15 1997 On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019Garoufalidis, Stavros; Ohtsuki, Tomotada 1 1997 Finite type invariants of integral homology 3-spheres. Zbl 0942.57009Ohtsuki, Tomotada 32 1996 A polynomial invariant of rational homology \(3\)-spheres. Zbl 0855.57016Ohtsuki, Tomotada 31 1996 Quantum \(Sp(n)\) invariant of links via an invariant of colored planar graphs. Zbl 0881.57005Murakami, Hitoshi; Ohtsuki, Tomotada 1 1996 A polynomial invariant of integral homology 3-spheres. Zbl 0843.57019Ohtsuki, Tomotada 23 1995 Invariants of 3-manifolds derived from universal invariants of framed links. Zbl 0859.57018Ohtsuki, Tomotada 10 1995 A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada 3 1995 Ideal points and incompressible surfaces in two-bridge knot complements. Zbl 0837.57006Ohtsuki, Tomotada 16 1994 Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006Ohtsuki, Tomotada 20 1993 Invariants of colored links. Zbl 0758.57004Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada 40 1992 Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009Murakami, Hitoshi; Ohtsuki, Tomotada; Okada, Masae 19 1992 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.