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Journal of Knot Theory and its Ramifications

Short Title: J. Knot Theory Ramifications
Publisher: World Scientific, Singapore
ISSN: 0218-2165; 1793-6527/e
Online: https://www.worldscientific.com/loi/jktr
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 2,797 Publications (since 1992)
References Indexed: 2,449 Publications with 36,189 References.
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Latest Issues

33, No. 13 (2024)
33, No. 12 (2024)
33, No. 11 (2024)
33, No. 10 (2024)
33, No. 9 (2024)
33, No. 8 (2024)
33, No. 7 (2024)
33, No. 6 (2024)
33, No. 5 (2024)
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33, No. 3 (2024)
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33, No. 1 (2024)
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29, No. 14 (2020)
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29, No. 11 (2020)
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28, No. 14 (2019)
28, No. 13 (2019)
28, No. 12 (2019)
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28, No. 10 (2019)
28, No. 9 (2019)
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27, No. 14 (2018)
27, No. 13 (2018)
27, No. 12 (2018)
27, No. 11 (2018)
27, No. 10 (2018)
27, No. 9 (2018)
27, No. 8 (2018)
27, No. 7 (2018)
27, No. 6 (2018)
27, No. 5 (2018)
27, No. 4 (2018)
27, No. 3 (2018)
27, No. 2 (2018)
27, No. 1 (2018)
26, No. 14 (2017)
26, No. 13 (2017)
26, No. 12 (2017)
...and 239 more Volumes
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Authors

75 Kauffman, Louis Hirsch
49 Manturov, Vassiliĭ Olegovich
41 Nelson, Sam
27 Lee, Sang Youl
27 Przytycki, Józef Henryk
26 Nakanishi, Yasutaka
25 Silver, Daniel S.
24 Lambropoulou, Sofia S. F.
24 Saito, Masahico
23 Diao, Yuanan
23 Ernst, Claus
23 Kanenobu, Taizo
23 Kawauchi, Akio
22 Williams, Susan G.
21 Kamada, Seiichi
20 Jin, Gyo Taek
19 Bae, Yongju
19 Ohyama, Yoshiyuki
19 Traldi, Lorenzo
18 Taniyama, Kouki
17 Hoste, Jim
17 Oh, Seungsang
16 Adams, Colin C.
16 Fenn, Roger Andrew
16 Im, Young Ho
16 Jablan, Slavik Vlado
16 Jeong, Myeong-Ju
16 Satoh, Shin
16 Shimizu, Ayaka
15 Mellor, Blake
15 Ogasa, Eiji
15 Sazdanović, Radmila
15 Teragaito, Masakazu
15 Yetter, David N.
14 Carter, J. Scott
14 Hillman, Jonathan Arthur
14 Ito, Noboru
14 Ozawa, Makoto
13 Kamada, Naoko
13 Lei, Fengchun
13 Nakamura, Takuji
13 Tran, Anh Tuan
12 Bardakov, Valeriĭ Georgievich
12 Cheng, Zhiyun
12 Elhamdadi, Mohamed
12 Jin, Xian’an
12 Kadokami, Teruhisa
12 Kim, Joonoh
12 Lee, Hwa Jeong
12 Lee, Sangyop
12 Montesinos-Amilibia, José María
11 Dabkowski, Mieczysław K.
11 Dye, Heather Ann
11 Hayashi, Chuichiro
11 Kim, Jieon
11 Kim, Sera
11 Lee, Junghoon
11 Lopes, Pedro
11 Miyazawa, Yasuyuki
11 Nikkuni, Ryo
11 Nikonov, Igor Mikhailovich
11 Shanahan, Patrick D.
11 Yang, Zhiqing
10 Huh, Youngsik
10 Ichihara, Kazuhiro
10 Kim, Seongjeong
10 Morton, Hugh R.
10 Takioka, Hideo
10 Vesnin, Andrei Yu.
9 Bartholomew, Andrew
9 Birman, Joan S.
9 Chrisman, Micah Whitney
9 Henrich, Allison K.
9 Horiuchi, Sumiko
9 Lee, Kyeonghui
9 Lozano Imízcoz, María Teresa
9 Mishra, Rama
9 No, Sungjong
9 Shibuya, Tetsuo
9 Tsukamoto, Tatsuya
9 Yasuhara, Akira
8 Bar-Natan, Dror
8 Caprau, Carmen Livia
8 Chmutov, Sergei V.
8 Frohman, Charles D.
8 Garoufalidis, Stavros
8 Gordon, Cameron McA.
8 Hilden, Hugh Michael
8 Hsieh, Chun-Chung
8 Ito, Tetsuya
8 Janse van Rensburg, Esaias J.
8 Kwon, Bo-Hyun
8 Millett, Kenneth C.
8 Park, Chan-Young
8 Seo, Myoungsoo
8 Shima, Akiko
8 Stoimenow, Alexander
8 Tanaka, Toshifumi
7 Bellingeri, Paolo
7 Brittenham, Mark
...and 2,062 more Authors
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Fields

2,685 Manifolds and cell complexes (57-XX)
286 Group theory and generalizations (20-XX)
186 Combinatorics (05-XX)
86 Quantum theory (81-XX)
70 Algebraic topology (55-XX)
60 Differential geometry (53-XX)
58 Nonassociative rings and algebras (17-XX)
53 Associative rings and algebras (16-XX)
46 Category theory; homological algebra (18-XX)
42 Algebraic geometry (14-XX)
31 Biology and other natural sciences (92-XX)
28 Dynamical systems and ergodic theory (37-XX)
27 General and overarching topics; collections (00-XX)
26 Number theory (11-XX)
26 Global analysis, analysis on manifolds (58-XX)
26 Computer science (68-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 History and biography (01-XX)
16 Probability theory and stochastic processes (60-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Geometry (51-XX)
13 Convex and discrete geometry (52-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Commutative algebra (13-XX)
8 General topology (54-XX)
7 Functions of a complex variable (30-XX)
7 Functional analysis (46-XX)
6 Mathematical logic and foundations (03-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Topological groups, Lie groups (22-XX)
6 Real functions (26-XX)
5 Special functions (33-XX)
5 Relativity and gravitational theory (83-XX)
4 General algebraic systems (08-XX)
3 Approximations and expansions (41-XX)
3 Optics, electromagnetic theory (78-XX)
2 Field theory and polynomials (12-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Mechanics of particles and systems (70-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 \(K\)-theory (19-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

2,069 Publications have been cited 13,422 times in 6,517 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
229
1992
Abstract link diagrams and virtual knots. Zbl 0997.57018
Kamada, Naoko; Kamada, Seiichi
147
2000
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
144
2002
Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002
Martin, Paul
119
1994
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
88
2020
Fast Khovanov homology computations. Zbl 1234.57013
Bar-Natan, Dror
85
2007
Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015
Abrams, Lowell
81
1996
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
75
1993
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
67
2001
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
66
2009
Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029
Hedden, Matthew
65
2010
A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030
Henrich, Allison
63
2010
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
61
1993
State-sum invariants of 4-manifolds. Zbl 0883.57021
Crane, Louis; Kauffman, Louis H.; Yetter, David N.
57
1997
An affine index polynomial invariant of virtual knots. Zbl 1271.57040
Kauffman, Louis H.
57
2013
Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037
Satoh, Shin
56
2000
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
53
2001
Perturbative Chern-Simons theory. Zbl 0861.57009
Bar-Natan, Dror
52
1995
Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013
Kamada, Seiichi
51
1992
Alexander groups and virtual links. Zbl 0997.57019
Silver, Daniel S.; Williams, Susan G.
50
2001
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
49
1992
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
49
2005
Link polynomials and a graphical calculus. Zbl 0795.57001
Kauffman, Louis H.; Vogel, Pierre
48
1992
Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011
Shumakovitch, Alexander N.
47
2007
Forbidden moves unknot a virtual knot. Zbl 0997.57015
Kanenobu, Taizo
46
2001
Vassiliev homotopy string link invariants. Zbl 0878.57003
Bar-Natan, Dror
45
1995
Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007
Kauffman, Louis H.; Radford, David E.
45
1995
A polynomial invariant of virtual links. Zbl 1284.57005
Cheng, Zhiyun; Gao, Hongzhu
45
2013
A survey on Heegaard Floer homology and concordance. Zbl 1360.57002
Hom, Jennifer
45
2017
A formula for the A-polynomial of twist knots. Zbl 1057.57010
Hoste, Jim; Shanahan, Patrick D.
45
2004
On homology of virtual braids and Burau representation. Zbl 0997.57020
Vershinin, Vladimir V.
45
2001
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
44
2006
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
43
2012
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
41
2006
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
40
1993
Understanding the Kauffman bracket skein module. Zbl 0932.57015
Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna
40
1999
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
Ohtsuki, Tomotada
38
1996
The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005
Hoste, Jim; Przytycki, Józef H.
38
1993
An invariant for singular knots. Zbl 1188.57010
Juyumaya, J.; Lambropoulou, S.
38
2009
A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006
Miyazawa, Yasuyuki
37
2008
A note on non-classical virtual knots. Zbl 1094.57012
Kishino, Toshimasa; Satoh, Shin
37
2004
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
36
2003
Minimal knotted polygons on the cubic lattice. Zbl 0797.57004
Diao, Yuanan
35
1993
An oriented model for Khovanov homology. Zbl 1195.57024
Blanchet, Christian
35
2010
Index polynomial invariant of virtual links. Zbl 1201.57005
Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl
35
2010
Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003
Stoimenow, A.
35
1998
Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015
Nawata, Satoshi; Ramadevi, P.; Zodinmawia
34
2013
On the Casson knot invariant. Zbl 0997.57021
Polyak, Michael; Viro, Oleg
34
2001
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
33
1996
Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017
Khovanov, Mikhail
33
2016
Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007
Lambropoulou, Sofia
33
1999
TQFT’s from homotopy 2-types. Zbl 0787.57002
Yetter, David N.
32
1993
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
32
1998
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
31
2008
Magnetic graphs and an invariant for virtual links. Zbl 1116.57008
Miyazawa, Yasuyuki
31
2006
Gauss’ linking number revisited. Zbl 1230.57009
Ricca, Renzo L.; Nipoti, Bernardo
31
2011
Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021
Östlund, Olof-Petter
31
2001
Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012
Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.
30
2017
Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks. Zbl 1443.16040
Bachiller, David
30
2018
Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012
Cooper, D.; Long, D. D.
30
1996
Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005
Green, R. M.
30
1998
On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044
Swenton, Frank J.
30
2001
The knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004
Diao, Yuanan
29
1995
Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007
Blatt, Simon
29
2012
The simplest hyperbolic knots. Zbl 0933.57010
Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R.
29
1999
Markov theorem for transversal links. Zbl 1046.57007
Orevkov, S. Yu.; Shevchishin, V. V.
29
2003
A new point of view in the theory of knot and link invariants. Zbl 1002.57026
Labastida, José M. F.; Mariño, Marcos
29
2002
On random knots. Zbl 0846.57003
Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt
28
1994
Stick numbers and composition of knots and links. Zbl 0884.57005
Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K.
28
1997
A table of genus two handlebody-knots up to six crossings. Zbl 1236.57015
Ishii, Atsushi; Kishimoto, Kengo; Moriuchi, Hiromasa; Suzuki, Masaaki
28
2012
Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015
Turner, Paul R.
28
2006
Triple crossing number of knots and links. Zbl 1270.57014
Adams, Colin
28
2013
Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008
Juyumaya, J.
28
2004
Quantum groups at roots of unity and modularity. Zbl 1117.17006
Sawin, Stephen F.
27
2006
Kauffman monoids. Zbl 1025.57015
Borisavljević, Mirjana; Došen, Kosta; Petrić, Zoran
27
2002
The Gordian complex of knots. Zbl 1004.57008
Hirasawa, Mikami; Uchida, Yoshiaki
27
2002
Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002
Jin, Gyo Taek
26
1997
On the arithmetic 2-bridge knots and link orbifolds and a new knot invariant. Zbl 0844.57006
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, Jose Maria
26
1995
Generalized spin models. Zbl 0842.57010
Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo
26
1994
A linking number definition of the affine index polynomial and applications. Zbl 1320.57009
Folwaczny, Lena C.; Kauffman, Louis H.
26
2013
Detecting non-triviality of virtual links. Zbl 1049.57006
Kadokami, Teruhisa
26
2003
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
25
1998
The genus of closed 3-braids. Zbl 0773.57007
Xu, Peijun
24
1992
Topological steps toward the Homflypt skein module of the lens spaces \(L(p,1)\) via braids. Zbl 1420.57033
Diamantis, Ioannis; Lambropoulou, Sofia; Przytycki, Jozef H.
24
2016
Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010
Yetter, David N.
24
1992
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
24
2014
Singular braids and Markov’s theorem. Zbl 0885.57005
Gemein, Bernd
24
1997
Parity and projection from virtual knots to classical knots. Zbl 1280.57007
Manturov, Vassily Olegovich
24
2013
Band surgery on knots and links. Zbl 1213.57011
Kanenobu, Taizo
24
2010
The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
24
2003
Geometric knot spaces and polygonal isotopy. Zbl 1001.57024
Calvo, Jorge Alberto
24
2001
Trace fields of twist knots. Zbl 1003.57014
Hoste, Jim; Shanahan, Patrick D.
24
2001
Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006
Ohtsuki, Tomotada
23
1993
The planarity problem for signed Gauss words. Zbl 0821.57010
Cairns, Grant; Elton, Daniel M.
23
1993
Lissajous knots. Zbl 0834.57005
Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L.
23
1994
Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011
Costa, A.; Farber, M.
23
2017
On the classification of quandles of low order. Zbl 1333.57026
Vendramin, L.
23
2012
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
23
2008
State sum construction of two-dimensional open-closed topological quantum field theories. Zbl 1148.57039
Lauda, Aaron D.; Pfeiffer, Hendryk
23
2007
Computations of Heegaard-Floer knot homology. Zbl 1288.57010
Baldwin, John A.; Gillam, William D.
23
2012
Refined large \(N\) duality for knots. Zbl 1524.57001
Kameyama, Masaya; Nawata, Satoshi
5
2023
Arithmetic Chern-Simons theory with real places. Zbl 1533.11177
Lee, Jungin; Park, Jeehoon
3
2023
The average genus of oriented rational links with a given crossing number. Zbl 1518.57011
Ray, Dawn; Diao, Yuanan
3
2023
Classification of doubly periodic untwisted \((p,q)\)-weaves by their crossing number and matrices. Zbl 1518.57005
Fukuda, Mizuki; Kotani, Motoko; Mahmoudi, Sonia
3
2023
A lower bound on the average genus of a 2-bridge knot. Zbl 07745284
Cohen, Moshe
2
2023
Unknotting twisted knots with Gauss diagram forbidden moves. Zbl 1516.57017
Xue, Shudan; Deng, Qingying
2
2023
Quandle coloring quivers of \((p, 3)\)-torus links. Zbl 1518.57014
Zhou, Boxin; Liu, Ximin
2
2023
Characterizing slopes for torus knots. II. Zbl 1518.57017
Ni, Yi; Zhang, Xingru
2
2023
Homology of relative trisection and its applications. Zbl 1521.57018
Tanimoto, Hokuto
2
2023
Fundamental heap for framed links and ribbon cocycle invariants. Zbl 1541.57011
Saito, Masahico; Zappala, Emanuele
2
2023
Knot invariants for rail knotoids. Zbl 1529.57004
Kodokostas, Dimitrios; Lambropoulou, Sofia
1
2023
Periods of continued fractions and volumes of modular knots complements. Zbl 1541.57024
Rodríguez-Migueles, José Andrés
1
2023
The intersection polynomials of a virtual knot. II: Connected sums. Zbl 1529.57006
Higa, Ryuji; Nakamura, Takuji; Nakanishi, Yasutaka; Satoh, Shin
1
2023
Minimal generating sets of moves for surfaces immersed in the four-space. Zbl 1532.57016
Jabłonowski, Michał
1
2023
\(B\)-type Catalan states of lattice crossing. Zbl 07745278
Dabkowski, Mieczyslaw K.; Rakotomalala, Mihaja
1
2023
Petal number of torus knots of type \((r, r+2)\). Zbl 1523.57010
Lee, Hwa Jeong; Jin, Gyo Taek
1
2023
Octahedral developing of knot complement. II: Ptolemy coordinates and applications. Zbl 1529.57003
Kim, Hyuk; Kim, Seonhwa; Yoon, Seokbeom
1
2023
Linking number and folded ribbon unknots. Zbl 1516.57005
Denne, Elizabeth; Larsen, Troy
1
2023
Regular projections of the link \(L6n1\). Zbl 1510.57002
Alba, Andrea; Ramírez, Santino; Salazar, Gelasio
1
2023
Canonical sphere bases for simplicial and cubical complexes. Zbl 1528.57020
Kainen, Paul C.
1
2023
A note on closed 3-braid knot shadows. Zbl 1516.57009
Hanaki, Ryo; Nakamura, Masashi
1
2023
Index polynomial invariants of virtual knots using invariants for flat virtual knots. Zbl 1512.57016
Lee, Kyeonghui
1
2023
Equivariant annular Khovanov homology. Zbl 1516.57021
Akhmechet, Rostislav
1
2023
Some computations on instanton knot homology. Zbl 07669369
Li, Zhenkun; Liang, Yi
1
2023
Lefschetz open book decompositions of \(4\)-manifolds. Zbl 1525.57008
Ghanwat, Abhijeet; Pandit, Suhas; Selvakumar, A.
1
2023
A new Garside structure on torus knot groups and some complex braid groups. Zbl 1535.20179
Gobet, Thomas
1
2023
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004
Kellerhals, Ruth
1
2023
Torus knots obtained by negatively twisting torus knots. Zbl 1487.57010
Lee, Sangyop; de Paiva, Thiago
4
2022
Ribbonlength of twisted torus knots. Zbl 1504.57008
Kim, Hyoungjun; No, Sungjong; Yoo, Hyungkee
4
2022
Goussarov-Polyak-Viro conjecture for degree three case. Zbl 1505.57017
Ito, Noboru; Kotorii, Yuka; Takamura, Masashi
3
2022
Quandle coloring quivers of \((p,2)\)-torus links. Zbl 1500.57001
Basi, Jagdeep; Caprau, Carmen
3
2022
Peripheral elements in reduced Alexander modules. Zbl 1511.57009
Traldi, Lorenzo
3
2022
An Alexander-type invariant for doodles. Zbl 1515.57013
Cisneros, Bruno; Flores, Marcelo; Juyumaya, Jesús; Roque-Márquez, Christopher
3
2022
Twisted cohomology pairings of knots. II: To some Blanchfield pairings. Zbl 1497.57007
Nosaka, T.
2
2022
All prime knots through 10 crossings have superbridge index \(\leq 5\). Zbl 1494.57011
Shonkwiler, Clayton
2
2022
Hyperbolicity of augmented links in the thickened torus. Zbl 1522.57015
Kwon, Alice; Tham, Ying Hong
2
2022
The non-orientable 4-genus for knots with 10 crossings. Zbl 1493.57002
Ghanbarian, Nakisa
2
2022
Almost all strongly quasipositive braid closures are fibered. Zbl 07619471
Banfield, Ian M.
2
2022
The quantum trace as a quantum non-abelianization map. Zbl 1530.14027
Korinman, J.; Quesney, A.
2
2022
Bicategories for TQFTs with defects with structure. Zbl 1501.57025
Lee, I. J.; Yetter, D. N.
2
2022
Parity on based matrices. Zbl 1536.57011
Nikonov, Igor
2
2022
The minimum number of coloring of knots. Zbl 1490.57003
Han, Youfa; Zhou, Boxin
2
2022
The Rohlin invariant and \(\mathbb{Z}/2\)-valued invariants of homology spheres. Zbl 1498.57018
Riba, Ricard
2
2022
Twist moves and the affine index polynomials of virtual knots. Zbl 1501.57004
Jeong, Myeong-Ju; Choi, Younhee; Kim, Dojin
1
2022
Crosscap number three alternating knots. Zbl 1497.57005
Ito, Noboru; Takimura, Yusuke
1
2022
Anomaly-free TQFTs from the super Lie algebra \(\mathfrak{sl}(2|1)\). Zbl 1505.57024
Ngoc Phu Ha
1
2022
Signed heights of knotoids. Zbl 1511.57015
Linov, Larsen
1
2022
On universal parity on free two-dimensional knots. Zbl 1511.57016
Nikonov, Igor
1
2022
Rectangular knot diagrams classification with deep learning. Zbl 1527.57016
Kauffman, L. H.; Russkikh, N. E.; Taimanov, I. A.
1
2022
The complement problem for linklessly embeddable graphs. Zbl 1512.57036
Odeneal, Ryan; Naimi, Ramin; Pavelescu, Andrei; Pavelescu, Elena
1
2022
2-knot homology and Roseman move. Zbl 1496.57023
Matsuda, Hiroshi
1
2022
Parity functors. Zbl 1501.57006
Nikonov, Igor
1
2022
Alternating odd pretzel knots and chirally cosmetic surgeries. Zbl 1503.57004
Varvarezos, Konstantinos
1
2022
HOMFLYPT homology over \(\mathbb{Z}_2\) detects unlinks. Zbl 1509.57011
Wu, Hao
1
2022
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots. Zbl 1530.57001
Akimoto, Yuta
1
2022
On long knots in the full torus. Zbl 1487.57008
Kim, Sera; Kim, Seongjeong; Manturov, Vassily O.
1
2022
Finite involutory quandles of two-bridge links with an axis. Zbl 1496.57007
Mellor, Blake
1
2022
Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012
Nelson, Sam; Zhao, Yuqi
1
2022
On linear resolvability of universal quantum dimensions. Zbl 1502.17011
Avetisyan, M. Y.; Mkrtchyan, R. L.
1
2022
\(4\)-move distance of knots. Zbl 1497.57006
Kanenobu, Taizo; Takioka, Hideo
1
2022
Alexander and Markov theorems for generalized knots. II: Generalized braids. Zbl 1504.57014
Bartholomew, Andrew; Fenn, Roger
1
2022
Maps on random hypergraphs and random simplicial complexes. Zbl 1491.05173
Ren, Shiquan; Wu, Chengyuan; Wu, Jie
1
2022
A Möbius invariant discretization of O’Hara’s Möbius energy. Zbl 1496.57004
Blatt, Simon; Ishizeki, Aya; Nagasawa, Takeyuki
1
2022
Properties of minimal charts and their applications. VIII: Charts of type (7). Zbl 1494.57032
Nagase, Teruo; Shima, Akiko
1
2022
Non-slice 3-stranded pretzel knots. Zbl 1500.57006
Kim, Min Hoon; Lee, Changhee; Song, Minkyoung
1
2022
Virtual index cocycles and invariants of virtual links. Zbl 1495.57009
Nikonov, Igor
1
2022
Multivariate Alexander quandles. IV: the medial quandle of a link. Zbl 1504.57013
Traldi, Lorenzo
1
2022
Reducible surgery in lens spaces and seiferters. Zbl 1510.57004
Gainullin, Fyodor
1
2022
The smooth 4-genus of (the rest of) the prime knots through 12 crossings. Zbl 1505.57005
Brittenham, Mark; Hermiller, Susan
1
2022
Structures of homomorphisms induced by arc selection game and arc freeze selection game. Zbl 1512.57006
Kinuno, Rin
1
2022
Families of curly knots. Zbl 1516.57006
Ernst, C.; Gover, S.
1
2022
The embedded homology of hypergraph pairs. Zbl 1515.55010
Ren, Shiquan; Wu, Jie; Zhang, Mengmeng
1
2022
Lower bounds for the warping degree of a knot projection. Zbl 1504.57011
Ohya, Atsushi; Shimizu, Ayaka
1
2022
Big data approaches to knot theory: understanding the structure of the Jones polynomial. Zbl 1537.57011
Levitt, Jesse S. F.; Hajij, Mustafa; Sazdanovic, Radmila
1
2022
Petal number of torus knots using superbridge indices. Zbl 1520.57005
Kim, Hyoungjun; No, Sungjong; Yoo, Hyungkee
1
2022
A diagrammatic approach for determining the braid index of alternating links. Zbl 1472.57003
Diao, Yuanan; Ernst, Claus; Hetyei, Gabor; Liu, Pengyu
7
2021
Fixing the functoriality of Khovanov homology: a simple approach. Zbl 1536.57019
Sano, Taketo
6
2021
Torsion in Khovanov homology of homologically thin knots. Zbl 1490.57012
Shumakovitch, Alexander N.
6
2021
Tied links in various topological settings. Zbl 1487.57004
Diamantis, Ioannis
5
2021
Parity, virtual closure and minimality of knotoids. Zbl 1491.57011
Gügümcü, N.; Kauffman, L. H.
5
2021
Symmetric union presentations for 2-bridge ribbon knots. Zbl 1486.57011
Lamm, Christoph
5
2021
Polynomial invariants of singular knots and links. Zbl 1464.57009
Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed
5
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
4
2021
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere. Zbl 1490.57018
Bakshi, Rhea Palak; Mukherjee, Sujoy; Przytycki, Józef H.; Silvero, Marithania; Wang, Xiao
4
2021
Ribbonlength and crossing number for folded ribbon knots. Zbl 1470.57007
Denne, Elizabeth
3
2021
Arrow diagrams on spherical curves and computations. Zbl 1476.57009
Ito, Noboru; Takamura, Masashi
3
2021
The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams. Zbl 1486.57006
Cohen, Moshe
3
2021
On the virtual singular braid monoid. Zbl 1526.57007
Caprau, Carmen; Zepeda, Sarah
3
2021
A diagrammatic presentation and its characterization of non-split compact surfaces in the \(3\)-sphere. Zbl 1481.57011
Matsuzaki, Shosaku
3
2021
Tied links in the solid torus. Zbl 1462.57004
Flores, Marcelo
3
2021
Polynomial invariants, knot homologies, and higher twist numbers of weaving knots \(\boldsymbol{W} ( 3 , \boldsymbol{n} )\). Zbl 1470.57021
Mishra, Rama; Staffeldt, Ross
2
2021
Thesaurus racks: categorizing rack objects. Zbl 1471.18007
Grøsfjeld, Tobias
2
2021
Virtual concordance and the generalized Alexander polynomial. Zbl 1479.57021
Boden, Hans U.; Chrisman, Micah
2
2021
Diquandles and invariants for oriented dichromatic links. Zbl 1483.57010
Lee, Sang Youl; Sheikh, Mohd Ibrahim
2
2021
Multiflypes of rectangular diagrams of links. Zbl 1473.57011
Dynnikov, Ivan; Sokolova, Vera
2
2021
Knots with equal bridge index and braid index. Zbl 1536.57007
Diao, Yuanan; Ernst, Claus; Reiter, Philipp
2
2021
On two-bridge knots and a conjecture of Hirasawa-Murasugi. Zbl 1469.57005
Chen, Wenzhao
2
2021
Weakly reducible \(H^\prime\)-splittings of \(3\)-manifolds. Zbl 1485.57015
Gao, Yaru; Li, Fengling; Liang, Liang; Lei, Fengchun
2
2021
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths. Zbl 1482.52016
Abrosimov, Nikolay; Vuong, Bao
2
2021
The second Yang-Baxter homology for the HOMFLYPT polynomial. Zbl 1490.57011
Przytycki, Józef H.; Wang, Xiao
2
2021
...and 1284 more Documents
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Cited by 4,559 Authors

102 Kauffman, Louis Hirsch
71 Nelson, Sam
62 Manturov, Vassiliĭ Olegovich
51 Kamada, Seiichi
46 Saito, Masahico
45 Elhamdadi, Mohamed
42 Stoimenow, Alexander
38 Przytycki, Józef Henryk
37 Morozov, Alexei Yurievich
36 Bardakov, Valeriĭ Georgievich
36 Diao, Yuanan
36 Garoufalidis, Stavros
35 Ito, Noboru
34 Ito, Tetsuya
34 Mironov, Andrei D.
34 Satoh, Shin
32 Adams, Colin C.
32 Jin, Xian’an
31 Kanenobu, Taizo
31 Lambropoulou, Sofia S. F.
31 Lee, Sang Youl
30 Kawauchi, Akio
30 Oh, Seungsang
29 East, James
28 Carter, J. Scott
28 Ishii, Atsushi
28 Silver, Daniel S.
27 Ichihara, Kazuhiro
27 Nakanishi, Yasutaka
27 Tran, Anh Tuan
26 Ernst, Claus
26 Kamada, Naoko
25 Oshiro, Kanako
25 Patureau-Mirand, Bertrand
25 Spaggiari, Fulvia
25 Traldi, Lorenzo
25 Williams, Susan G.
25 Yasuhara, Akira
24 Cavicchioli, Alberto
24 Geer, Nathan
24 Morozov, Andreĭ Alekseevich
23 Khovanov, Mikhail G.
23 Le, Thang Tu Quoc
23 Singh, Mahender
22 Im, Young Ho
22 Mellor, Blake
22 Orevkov, Stepan Yur’evich
22 Ozawa, Makoto
21 Andersen, Jørgen Ellegaard
21 Chbili, Nafaa
21 Mattman, Thomas W.
21 Meilhan, Jean-Baptiste
21 Shimizu, Ayaka
20 Bellingeri, Paolo
20 Boden, Hans U.
20 Motegi, Kimihiko
20 Nakamura, Takuji
20 Sazdanović, Radmila
20 Teragaito, Masakazu
20 Vesnin, Andrei Yu.
19 Gukov, Sergei
19 Jeong, Myeong-Ju
18 Bae, Yongju
18 Baker, Kenneth L.
18 Cheng, Zhiyun
18 Frohman, Charles D.
18 Guaschi, John
18 Jablan, Slavik Vlado
18 Lee, Hwa Jeong
18 Lei, Fengchun
18 Nikkuni, Ryo
18 Ohyama, Yoshiyuki
18 Purcell, Jessica Shepherd
18 Xue, Kang
17 Cristofori, Paola
17 Dehornoy, Patrick
17 Fenn, Roger Andrew
17 Kim, Jieon
17 Livingston, Charles
17 Nikonov, Igor Mikhailovich
17 Qi, You
17 Ramadevi, Pichai
16 Blatt, Simon
16 Chrisman, Micah Whitney
16 Dye, Heather Ann
16 Fleming, Thomas R.
16 Jin, Gyo Taek
16 Kofman, Ilya
16 Martin, Paul Purdon
16 Reid, Alan W.
16 Shima, Akiko
16 Taniyama, Kouki
16 Tubbenhauer, Daniel
16 Vendramin, Leandro
15 Baldwin, John A.
15 Casali, Maria Rita
15 Champanerkar, Abhijit
15 Gonçalves, Daciberg Lima
15 Hikami, Kazuhiro
15 Hoste, Jim
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Cited in 441 Journals

1,620 Journal of Knot Theory and its Ramifications
453 Topology and its Applications
360 Algebraic & Geometric Topology
129 Journal of Algebra
127 Transactions of the American Mathematical Society
122 Journal of High Energy Physics
121 Advances in Mathematics
116 Proceedings of the American Mathematical Society
99 Communications in Mathematical Physics
94 Geometry & Topology
91 Journal of Pure and Applied Algebra
81 Osaka Journal of Mathematics
74 International Journal of Mathematics
74 Quantum Topology
61 Geometriae Dedicata
56 Journal of Mathematical Physics
54 Mathematical Proceedings of the Cambridge Philosophical Society
53 Communications in Algebra
48 Nuclear Physics. B
46 Journal of Topology
45 Mathematische Zeitschrift
41 Journal of Physics A: Mathematical and Theoretical
39 Mathematische Annalen
38 Journal of Geometry and Physics
37 Journal of the Mathematical Society of Japan
36 European Journal of Combinatorics
36 Experimental Mathematics
35 Letters in Mathematical Physics
35 Tokyo Journal of Mathematics
34 Pacific Journal of Mathematics
33 Journal of Mathematical Sciences (New York)
30 Bulletin of the London Mathematical Society
30 Selecta Mathematica. New Series
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27 Discrete Mathematics
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25 Michigan Mathematical Journal
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24 Inventiones Mathematicae
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23 Fundamenta Mathematicae
23 The New York Journal of Mathematics
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20 Algebras and Representation Theory
20 Mediterranean Journal of Mathematics
20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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18 Forum Mathematicum
17 International Journal of Modern Physics A
17 Chaos, Solitons and Fractals
16 Israel Journal of Mathematics
16 Acta Mathematica Vietnamica
16 Discrete & Computational Geometry
16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
16 Boletín de la Sociedad Matemática Mexicana. Third Series
16 Annales Henri Poincaré
15 Proceedings of the London Mathematical Society. Third Series
15 Siberian Mathematical Journal
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15 Journal of the European Mathematical Society (JEMS)
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15 Winter Braids Lecture Notes
14 Indiana University Mathematics Journal
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14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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13 Involve
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12 Theoretical and Mathematical Physics
12 Compositio Mathematica
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12 Acta Mathematica Sinica. English Series
12 European Journal of Mathematics
11 Canadian Journal of Mathematics
11 Groups, Geometry, and Dynamics
10 Discrete Applied Mathematics
10 Physics Letters. B
10 Proceedings of the Edinburgh Mathematical Society. Series II
10 Semigroup Forum
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10 Applied Categorical Structures
10 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 International Journal of Theoretical Physics
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9 Mathematical Notes
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9 Canadian Mathematical Bulletin
9 Hiroshima Mathematical Journal
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