## Takata, Toshie

Compute Distance To:
 Author ID: takata.toshie Published as: Takata, Toshie
 Documents Indexed: 21 Publications since 1992 Reviewing Activity: 3 Reviews Co-Authors: 10 Co-Authors with 12 Joint Publications 101 Co-Co-Authors
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### Co-Authors

 9 single-authored 3 Motegi, Kimihiko 2 Baker, Kenneth L. 2 Hansen, Søren Kold 2 Kohno, Toshitake 2 Ohtsuki, Tomotada 2 Yokota, Yoshiyuki 1 Murakami, Hitoshi 1 Murakami, Jun 1 Okamoto, Miyuki 1 Tanaka, Rika
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### Serials

 6 Journal of Knot Theory and its Ramifications 2 Mathematical Proceedings of the Cambridge Philosophical Society 1 Communications in Mathematical Physics 1 Kyungpook Mathematical Journal 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 International Journal of Mathematics 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 The New York Journal of Mathematics 1 Geometry & Topology 1 Quantum Topology
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### Fields

 20 Manifolds and cell complexes (57-XX) 5 Nonassociative rings and algebras (17-XX) 3 Quantum theory (81-XX) 2 Category theory; homological algebra (18-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX)

### Citations contained in zbMATH Open

15 Publications have been cited 103 times in 83 Documents Cited by Year
Kashaev’s conjecture and the Chern-Simons invariants of knots and links. Zbl 1117.57300
Murakami, Hitoshi; Murakami, Jun; Okamoto, Miyuki; Takata, Toshie; Yokota, Yoshiyuki
2002
Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras. Zbl 1085.57011
Hansen, Søren Kold; Takata, Toshie
2004
On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013
2015
The slope conjecture for graph knots. Zbl 1375.57017
Motegi, Kimihiko; Takata, Toshie
2017
The $$PSU(N)$$ invariants of 3-manifolds are algebraic integers. Zbl 0933.57019
Takata, Toshie; Yokota, Yoshiyuki
1999
Symmetry of Witten’s 3-manifold invariants for sl$$(n,\mathbb{C})$$. Zbl 0795.57004
Kohno, Toshitake; Takata, Toshie
1993
On quantum $$PSU(n)$$ invariants for Seifert manifolds. Zbl 0888.57021
Takata, Toshie
1997
Level-rank duality of Witten’s 3-manifold invariants. Zbl 0860.57013
Kohno, Toshitake; Takata, Toshie
1996
On quantum $$PSU(n)$$-invariants for lens spaces. Zbl 0874.57013
Takata, Toshie
1996
Quantum invariants of Seifert $$3$$-manifolds and their asymptotic expansions. Zbl 1017.57003
Hansen, Søren Kold; Takata, Toshie
2002
A formula for the colored Jones polynomial of 2-bridge knots. Zbl 1152.57016
Takata, Toshie
2008
The strong slope conjecture for twisted generalized Whitehead doubles. Zbl 1471.57003
Baker, Kenneth L.; Motegi, Kimihiko; Takata, Toshie
2020
Invariants of 3-manifolds associated with quantum groups and Verlinde’s formula. Zbl 0818.57011
Takata, Toshie
1992
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 set of the logarithm of the LMO invariant for integral homology 3-spheres. Zbl 1151.57013
Takata, Toshie
2008
The strong slope conjecture for twisted generalized Whitehead doubles. Zbl 1471.57003
Baker, Kenneth L.; Motegi, Kimihiko; Takata, Toshie
2020
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
The slope conjecture for graph knots. Zbl 1375.57017
Motegi, Kimihiko; Takata, Toshie
2017
On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots. Zbl 1332.57013
2015
A formula for the colored Jones polynomial of 2-bridge knots. Zbl 1152.57016
Takata, Toshie
2008
On the set of the logarithm of the LMO invariant for integral homology 3-spheres. Zbl 1151.57013
Takata, Toshie
2008
Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras. Zbl 1085.57011
Hansen, Søren Kold; Takata, Toshie
2004
Kashaev’s conjecture and the Chern-Simons invariants of knots and links. Zbl 1117.57300
Murakami, Hitoshi; Murakami, Jun; Okamoto, Miyuki; Takata, Toshie; Yokota, Yoshiyuki
2002
Quantum invariants of Seifert $$3$$-manifolds and their asymptotic expansions. Zbl 1017.57003
Hansen, Søren Kold; Takata, Toshie
2002
The $$PSU(N)$$ invariants of 3-manifolds are algebraic integers. Zbl 0933.57019
Takata, Toshie; Yokota, Yoshiyuki
1999
On quantum $$PSU(n)$$ invariants for Seifert manifolds. Zbl 0888.57021
Takata, Toshie
1997
Level-rank duality of Witten’s 3-manifold invariants. Zbl 0860.57013
Kohno, Toshitake; Takata, Toshie
1996
On quantum $$PSU(n)$$-invariants for lens spaces. Zbl 0874.57013
Takata, Toshie
1996
Symmetry of Witten’s 3-manifold invariants for sl$$(n,\mathbb{C})$$. Zbl 0795.57004
Kohno, Toshitake; Takata, Toshie
1993
Invariants of 3-manifolds associated with quantum groups and Verlinde’s formula. Zbl 0818.57011
Takata, Toshie
1992
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### Cited by 102 Authors

 7 Takata, Toshie 5 Ohtsuki, Tomotada 4 Cho, Jinseok 4 Lee, Christine Ruey Shan 4 Murakami, Jun 4 van der Veen, Roland 3 Kalfagianni, Efstratia 3 Le, Thang Tu Quoc 2 Baker, Kenneth L. 2 Charles, Laurent 2 Closset, Cyril 2 Costantino, Francesco 2 Fuji, Hiroyuki 2 Hansen, Søren Kold 2 Karuo, Hiroaki 2 Kim, Heeyeon 2 Kim, Seonhwa 2 Mariño, Marcos 2 Motegi, Kimihiko 2 Murakami, Hitoshi 2 Osburn, Robert 2 Romo, Mauricio 2 Sato, Chifumi 2 Sato, Nobuya 2 Willett, Brian 2 Yamazaki, Masahito 2 Yokota, Yoshiyuki 1 Andersen, Jørgen Ellegaard 1 Aptekarev, Alexander Ivanovich 1 Ashwinkumar, Meer 1 Bai, Hua 1 Basu, Rudranil 1 Bettin, Sandro 1 Bijaoui, Colin 1 Blanchet, Christian 1 Boden, Hans U. 1 Bonahon, Francis 1 Bouchard, Vincent 1 Bullock, Doug 1 Carfora, Mauro 1 Dappiaggi, Claudio 1 Deloup, Florian L. 1 Dijkgraaf, Robbert H. 1 Dodelson, Matthew 1 Drappeau, Sary 1 Dudnikova, Tat’yana V. 1 Funar, Louis 1 Gang, Dongmin 1 Garoufalidis, Stavros 1 Gili, Valeria L. 1 Gilmer, Patrick M. 1 Griguolo, Luca 1 Grünbaum, Daniel 1 Guéritaud, François 1 Gukov, Sergei 1 Habiro, Kazuo 1 Hikami, Kazuhiro 1 Himpel, Benjamin 1 Iwaki, Kohei 1 Kawagoe, Kenichi 1 Kawahigashi, Yasuyuki 1 Kidambi, Abhiram 1 Klemm, Albrecht 1 Lawrence, Ruth J. 1 Leedom, Jacob M. 1 Leng, Xudong 1 Liu, Xiaobo 1 Liu, Ximin 1 Lofaro, Walter F. 1 Lovejoy, Jeremy 1 Marché, Julien 1 Mizusawa, Atsuhiko 1 Myers, Beckham 1 Ohnuki, Koji 1 Pasquetti, Sara 1 Pei, Du 1 Rushworth, William 1 Sakuma, Makoto 1 Sarkissian, Gor A. 1 Seminara, Domenico 1 Spiridonov, Vyacheslav Pavlovich 1 Stevan, Sébastien 1 Stošić, Marko 1 Suzuki, Sakie 1 Szabo, Richard J. 1 Tanaka, Rika 1 Taniguchi, Taiji 1 Tanzini, Alessandro 1 Terashima, Yuji 1 Tronsgard, Aaron 1 Tulyakov, Dmitrii N. 1 Turaev, Vladimir Georgievich 1 Wakui, Michihisa 1 Wang, Yilong 1 Wenzl, Hans 1 Xu, Feng 1 Yang, Zhiqing 1 Ye, Ke 1 Yoon, Seokbeom 1 Yuasa, Wataru ...and 2 more Authors
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### Cited in 34 Serials

 17 Journal of Knot Theory and its Ramifications 9 Communications in Mathematical Physics 6 Journal of High Energy Physics 5 Algebraic & Geometric Topology 4 Topology and its Applications 3 International Journal of Mathematics 3 Geometry & Topology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Quantum Topology 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Advances in Mathematics 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Kyushu Journal of Mathematics 1 The New York Journal of Mathematics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Proceedings of the Steklov Institute of Mathematics
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### Cited in 19 Fields

 73 Manifolds and cell complexes (57-XX) 19 Quantum theory (81-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Nonassociative rings and algebras (17-XX) 7 Number theory (11-XX) 5 Category theory; homological algebra (18-XX) 5 Differential geometry (53-XX) 4 Geometry (51-XX) 4 Relativity and gravitational theory (83-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX)