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Murakami, Hitoshi

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Author ID: murakami.hitoshi Recent zbMATH articles by "Murakami, Hitoshi"
Published as: Murakami, Hitoshi; Murakami, H.
Documents Indexed: 67 Publications since 1983, including 1 Book
Reviewing Activity: 145 Reviews

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 642 times in 479 Documents Cited by Year
The colored Jones polynomials and the simplicial volume of a knot. Zbl 0983.57009
Murakami, Hitoshi; Murakami, Jun
122
2001
On a certain move generating link-homology. Zbl 0646.57005
Murakami, Hitoshi; Nakanishi, Yasutaka
112
1989
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
Murakami, Hitoshi; Ohtsuki, Tomotada; Yamada, Shuji
52
1998
Some metrics on classical knots. Zbl 0535.57005
Murakami, Hitoshi
39
1985
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
27
2002
Quantum \(SO(3)\)-invariants dominate the \(SU(2)\)-invariant of Casson and Walker. Zbl 0854.57016
Murakami, Hitoshi
25
1995
Crosscap number of a knot. Zbl 0857.57004
Murakami, Hitoshi; Yasuhara, Akira
21
1995
Quantum \(SU(2)\)-invariants dominate Casson’s \(SU(2)\)-invariant. Zbl 0832.57005
Murakami, Hitoshi
21
1994
Two-bridge knots with unknotting number one. Zbl 0613.57002
Kanenobu, Taizo; Murakami, Hitoshi
20
1986
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
Murakami, Hitoshi; Ohtsuki, Tomotada; Okada, Masae
19
1992
Four-genus and four-dimensional clasp number of a knot. Zbl 0955.57007
Murakami, Hitoshi; Yasuhara, Akira
13
2000
\({SL(2, \mathbb{C})}\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1183.57012
Gukov, Sergei; Murakami, Hitoshi
13
2008
Asymptotic behaviors of the colored Jones polynomials of a torus knot. Zbl 1055.57015
Murakami, Hitoshi
10
2004
A recursive calculation of the Arf invariant of a link. Zbl 0605.57003
Murakami, Hitoshi
9
1986
An introduction to the volume conjecture. Zbl 1236.57005
Murakami, Hitoshi
9
2011
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces. Zbl 1128.57011
Murakami, Hitoshi; Yokota, Yoshiyuki
9
2007
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
8
1988
Kashaev’s invariant and the volume of a hyperbolic knot after Y. Yokota. Zbl 0983.57012
Murakami, Hitoshi
6
2001
On derivatives of the Jones polynomial. Zbl 0624.57003
Murakami, Hitoshi
6
1986
Volume conjecture for knots. Zbl 1410.57001
Murakami, Hitoshi; Yokota, Yoshiyuki
6
2018
An introduction to the volume conjecture and its generalizations. Zbl 1179.57023
Murakami, Hitoshi
6
2008
\(SL(2,\mathbb C)\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1171.57012
Gukov, Sergei; Murakami, Hitoshi
6
2008
Vassiliev invariants of type two for a link. Zbl 0874.57004
Murakami, Hitoshi
5
1996
A weight system derived from the multivariable Conway potential function. Zbl 0922.57008
Murakami, Hitoshi
5
1999
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
5
2000
Some limits of the colored Jones polynomials of the figure-eight knot. Zbl 1079.57011
Murakami, Hitoshi
5
2004
Representations and the colored Jones polynomial of a torus knot. Zbl 1276.57011
Hikami, Kazuhiro; Murakami, Hitoshi
5
2011
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
Murakami, Hitoshi; Ohtsuki, Tomotada
4
2001
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries. Zbl 0969.57504
Murakami, Hitoshi
4
2000
A formula for the two-variable link polynomial. Zbl 0633.57003
Murakami, Hitoshi
4
1987
Algebraic unknotting operation. Zbl 0704.57004
Murakami, Hitoshi
4
1990
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot. Zbl 1295.57018
Murakami, Hitoshi
4
2013
Delta-unknotting number and the Conway polynomial. Zbl 0821.57005
Murakami, Hitoshi
4
1993
A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011
Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
3
1995
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
3
1999
A version of the volume conjecture. Zbl 1121.57006
Murakami, Hitoshi
3
2007
Colored Jones polynomials with polynomial growth. Zbl 1165.57011
Hikami, Kazuhiro; Murakami, Hitoshi
3
2008
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot. Zbl 1136.57006
Murakami, Hitoshi
3
2007
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2
2017
The Arf invariant and the Conway polynomial of a link. Zbl 0595.57008
Murakami, Hitoshi
2
1983
On the T-genus of knot cobordism. Zbl 0522.57008
Kawauchi, Akio; Murakami, Hitoshi; Sugishita, Kouji
2
1983
Triple points and knot cobordism. Zbl 0564.57004
Murakami, Hitoshi; Kouji, Sugishita
2
1984
A quantum introduction to knot theory. Zbl 1134.57301
Murakami, Hitoshi
2
2006
The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot. Zbl 1348.57028
Murakami, Hitoshi
2
2014
The twisted Reidemeister torsion of an iterated torus knot. Zbl 1427.57003
Murakami, Hitoshi
2
2019
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries. Zbl 1095.57015
Murakami, Hitoshi
1
2004
Sharp-unknotting number and the Alexander module. Zbl 0797.57005
Murakami, Hitoshi; Sakai, Sakuko
1
1993
Current status of the volume conjecture. Zbl 1392.57011
Murakami, Hitoshi
1
2013
Various generalizations of the volume conjecture. Zbl 1159.57006
Murakami, Hitoshi
1
2007
Approximations to the distribution of sum of independent non-identically gamma random variables. Zbl 1405.62025
Murakami, H.
1
2015
The twisted Reidemeister torsion of an iterated torus knot. Zbl 1427.57003
Murakami, Hitoshi
2
2019
Volume conjecture for knots. Zbl 1410.57001
Murakami, Hitoshi; Yokota, Yoshiyuki
6
2018
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2
2017
Approximations to the distribution of sum of independent non-identically gamma random variables. Zbl 1405.62025
Murakami, H.
1
2015
The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot. Zbl 1348.57028
Murakami, Hitoshi
2
2014
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot. Zbl 1295.57018
Murakami, Hitoshi
4
2013
Current status of the volume conjecture. Zbl 1392.57011
Murakami, Hitoshi
1
2013
An introduction to the volume conjecture. Zbl 1236.57005
Murakami, Hitoshi
9
2011
Representations and the colored Jones polynomial of a torus knot. Zbl 1276.57011
Hikami, Kazuhiro; Murakami, Hitoshi
5
2011
\({SL(2, \mathbb{C})}\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1183.57012
Gukov, Sergei; Murakami, Hitoshi
13
2008
An introduction to the volume conjecture and its generalizations. Zbl 1179.57023
Murakami, Hitoshi
6
2008
\(SL(2,\mathbb C)\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1171.57012
Gukov, Sergei; Murakami, Hitoshi
6
2008
Colored Jones polynomials with polynomial growth. Zbl 1165.57011
Hikami, Kazuhiro; Murakami, Hitoshi
3
2008
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces. Zbl 1128.57011
Murakami, Hitoshi; Yokota, Yoshiyuki
9
2007
A version of the volume conjecture. Zbl 1121.57006
Murakami, Hitoshi
3
2007
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot. Zbl 1136.57006
Murakami, Hitoshi
3
2007
Various generalizations of the volume conjecture. Zbl 1159.57006
Murakami, Hitoshi
1
2007
A quantum introduction to knot theory. Zbl 1134.57301
Murakami, Hitoshi
2
2006
Asymptotic behaviors of the colored Jones polynomials of a torus knot. Zbl 1055.57015
Murakami, Hitoshi
10
2004
Some limits of the colored Jones polynomials of the figure-eight knot. Zbl 1079.57011
Murakami, Hitoshi
5
2004
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries. Zbl 1095.57015
Murakami, Hitoshi
1
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
27
2002
The colored Jones polynomials and the simplicial volume of a knot. Zbl 0983.57009
Murakami, Hitoshi; Murakami, Jun
122
2001
Kashaev’s invariant and the volume of a hyperbolic knot after Y. Yokota. Zbl 0983.57012
Murakami, Hitoshi
6
2001
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
Murakami, Hitoshi; Ohtsuki, Tomotada
4
2001
Four-genus and four-dimensional clasp number of a knot. Zbl 0955.57007
Murakami, Hitoshi; Yasuhara, Akira
13
2000
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
5
2000
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries. Zbl 0969.57504
Murakami, Hitoshi
4
2000
A weight system derived from the multivariable Conway potential function. Zbl 0922.57008
Murakami, Hitoshi
5
1999
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
3
1999
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
Murakami, Hitoshi; Ohtsuki, Tomotada; Yamada, Shuji
52
1998
Vassiliev invariants of type two for a link. Zbl 0874.57004
Murakami, Hitoshi
5
1996
Quantum \(SO(3)\)-invariants dominate the \(SU(2)\)-invariant of Casson and Walker. Zbl 0854.57016
Murakami, Hitoshi
25
1995
Crosscap number of a knot. Zbl 0857.57004
Murakami, Hitoshi; Yasuhara, Akira
21
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
3
1995
Quantum \(SU(2)\)-invariants dominate Casson’s \(SU(2)\)-invariant. Zbl 0832.57005
Murakami, Hitoshi
21
1994
Delta-unknotting number and the Conway polynomial. Zbl 0821.57005
Murakami, Hitoshi
4
1993
Sharp-unknotting number and the Alexander module. Zbl 0797.57005
Murakami, Hitoshi; Sakai, Sakuko
1
1993
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
Murakami, Hitoshi; Ohtsuki, Tomotada; Okada, Masae
19
1992
Algebraic unknotting operation. Zbl 0704.57004
Murakami, Hitoshi
4
1990
On a certain move generating link-homology. Zbl 0646.57005
Murakami, Hitoshi; Nakanishi, Yasutaka
112
1989
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
8
1988
A formula for the two-variable link polynomial. Zbl 0633.57003
Murakami, Hitoshi
4
1987
Two-bridge knots with unknotting number one. Zbl 0613.57002
Kanenobu, Taizo; Murakami, Hitoshi
20
1986
A recursive calculation of the Arf invariant of a link. Zbl 0605.57003
Murakami, Hitoshi
9
1986
On derivatives of the Jones polynomial. Zbl 0624.57003
Murakami, Hitoshi
6
1986
Some metrics on classical knots. Zbl 0535.57005
Murakami, Hitoshi
39
1985
Triple points and knot cobordism. Zbl 0564.57004
Murakami, Hitoshi; Kouji, Sugishita
2
1984
The Arf invariant and the Conway polynomial of a link. Zbl 0595.57008
Murakami, Hitoshi
2
1983
On the T-genus of knot cobordism. Zbl 0522.57008
Kawauchi, Akio; Murakami, Hitoshi; Sugishita, Kouji
2
1983
all top 5

Cited by 428 Authors

20 Garoufalidis, Stavros
17 Murakami, Hitoshi
16 Yasuhara, Akira
15 Hikami, Kazuhiro
14 Nakanishi, Yasutaka
12 Kanenobu, Taizo
12 Ohyama, Yoshiyuki
11 Le, Thang Tu Quoc
10 Murakami, Jun
10 Shibuya, Tetsuo
9 Nikkuni, Ryo
9 Stoimenow, Alexander
8 Ohtsuki, Tomotada
8 Yokota, Yoshiyuki
7 Cho, Jinseok
7 Gang, Dongmin
7 Meilhan, Jean-Baptiste
6 Geer, Nathan
6 Habiro, Kazuo
6 Patureau-Mirand, Bertrand
6 Stošić, Marko
5 Costantino, Francesco
5 Gilmer, Patrick M.
5 Jeong, Myeong-Ju
5 Kalfagianni, Efstratia
5 Massuyeau, Gwénaël
5 Nawata, Satoshi
5 Rozansky, Lev
5 Tsukamoto, Tatsuya
5 van der Veen, Roland
4 Dimofte, Tudor Dan
4 Gukov, Sergei
4 Horiuchi, Sumiko
4 Kawauchi, Akio
4 Lawrence, Ruth J.
4 Lee, Sang Youl
4 Miyazawa, Haruko Aida
4 Morozov, Alexei Yurievich
4 Seo, Myoungsoo
4 Taniyama, Kouki
4 Thuillier, Frank
3 Adams, Colin C.
3 Borodzik, Maciej
3 Champanerkar, Abhijit
3 Detcherry, Renaud
3 Fuji, Hiroyuki
3 Ganzell, Sandy
3 Ichihara, Kazuhiro
3 Ito, Noboru
3 Ito, Tetsuya
3 Khovanov, Mikhail G.
3 Kobayashi, Kazuaki
3 Kofman, Ilya
3 Kricker, Andrew
3 Lee, Christine Ruey Shan
3 Livingston, Charles
3 Mironov, Andrei D.
3 Mizusawa, Atsuhiko
3 Moriuchi, Hiromasa
3 Nakamura, Takuji
3 Park, Chan-Young
3 Ramadevi, Pichai
3 Robert, Louis-Hadrien
3 Satoh, Shin
3 Takata, Toshie
3 Takimura, Yusuke
3 Teragaito, Masakazu
3 van Cott, Cornelia A.
3 Wagner, Emmanuel
3 Wu, Hao
3 Yamada, Harumi
3 Zodinmawia
2 Abe, Tetsuya
2 Andersen, Jørgen Ellegaard
2 Baader, Sebastian
2 Bannai, Etsuko
2 Bar-Natan, Dror
2 Baseilhac, Stéphane
2 Bazhanov, Vladimir V.
2 Ben Aribi, Fathi
2 Benedetti, Riccardo
2 Bonahon, Francis
2 Bryden, John M.
2 Bullock, Doug
2 Cautis, Sabin
2 Cerchiai, Bianca Letizia
2 Chbili, Nafaa
2 Chen, Qi
2 Cheng, Zhiyun
2 Dijkgraaf, Robbert H.
2 Feller, Peter
2 Frohman, Charles D.
2 Funar, Louis
2 Gabella, Maxime
2 Gill, Amrendra
2 Han, Muxin
2 Higa, Ryuji
2 Hoste, Jim
2 Inoue, Rei
2 Jabuka, Stanislav
...and 328 more Authors
all top 5

Cited in 88 Serials

123 Journal of Knot Theory and its Ramifications
44 Topology and its Applications
40 Algebraic & Geometric Topology
19 Geometry & Topology
17 Journal of High Energy Physics
15 Communications in Mathematical Physics
14 Proceedings of the American Mathematical Society
12 International Journal of Mathematics
11 Advances in Mathematics
11 Osaka Journal of Mathematics
9 Transactions of the American Mathematical Society
7 Journal of Mathematical Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
6 Mathematische Annalen
6 Tokyo Journal of Mathematics
5 Letters in Mathematical Physics
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Journal of Pure and Applied Algebra
5 Proceedings of the Japan Academy. Series A
5 Experimental Mathematics
5 Journal of Algebraic Combinatorics
5 Communications in Contemporary Mathematics
4 Nuclear Physics. B
4 Selecta Mathematica. New Series
4 Quantum Topology
3 Israel Journal of Mathematics
3 Journal of Geometry and Physics
3 Acta Mathematica Vietnamica
3 Journal für die Reine und Angewandte Mathematik
3 Chinese Annals of Mathematics. Series B
3 Journal of Topology
2 International Journal of Modern Physics A
2 Journal of Statistical Physics
2 Theoretical and Mathematical Physics
2 Annales de l’Institut Fourier
2 Journal of Algebra
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Mathematics Magazine
1 Fortschritte der Physik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Journal of Statistical Planning and Inference
1 Kyungpook Mathematical Journal
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 L’Enseignement Mathématique. 2e Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Representation Theory
1 The Ramanujan Journal
1 Regular and Chaotic Dynamics
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Physical Review Letters
1 Journal of the Australian Mathematical Society
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Statistical Mechanics: Theory and Experiment
1 Involve
1 Journal of Topology and Analysis
1 Science China. Mathematics
1 Asia Pacific Journal of Mathematics
1 Research in the Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques
1 Algebraic Combinatorics

Citations by Year