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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: 2,743 Publications (since 1992)
References Indexed: 2,395 Publications with 35,222 References.
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Latest Issues

32, No. 14 (2023)
32, No. 13 (2023)
32, No. 12 (2023)
32, No. 11 (2023)
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28, No. 14 (2019)
28, No. 13 (2019)
28, No. 12 (2019)
28, No. 11 (2019)
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)
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27, No. 9 (2018)
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26, No. 14 (2017)
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26, No. 12 (2017)
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26, No. 10 (2017)
26, No. 9 (2017)
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26, No. 6 (2017)
26, No. 5 (2017)
26, No. 4 (2017)
26, No. 3 (2017)
26, No. 2 (2017)
26, No. 1 (2017)
25, No. 14 (2016)
25, No. 13 (2016)
...and 226 more Volumes
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Authors

73 Kauffman, Louis Hirsch
49 Manturov, Vassiliĭ Olegovich
39 Nelson, Sam
27 Przytycki, Józef Henryk
26 Nakanishi, Yasutaka
25 Lee, Sang Youl
24 Lambropoulou, Sofia S. F.
24 Saito, Masahico
23 Diao, Yuanan
23 Kawauchi, Akio
23 Silver, Daniel S.
22 Kanenobu, Taizo
21 Kamada, Seiichi
21 Williams, Susan G.
20 Ernst, Claus
20 Jin, Gyo Taek
19 Bae, Yongju
19 Ohyama, Yoshiyuki
17 Hoste, Jim
17 Oh, Seungsang
17 Taniyama, Kouki
16 Adams, Colin C.
16 Im, Young Ho
16 Jablan, Slavik Vlado
16 Jeong, Myeong-Ju
16 Satoh, Shin
16 Traldi, Lorenzo
15 Mellor, Blake
15 Sazdanović, Radmila
15 Teragaito, Masakazu
14 Carter, J. Scott
14 Hillman, Jonathan Arthur
14 Ogasa, Eiji
14 Ozawa, Makoto
14 Shimizu, Ayaka
14 Yetter, David N.
13 Ito, Noboru
13 Kamada, Naoko
13 Lei, Fengchun
13 Nakamura, Takuji
12 Bardakov, Valeriĭ Georgievich
12 Cheng, Zhiyun
12 Elhamdadi, Mohamed
12 Jin, Xian’an
12 Kadokami, Teruhisa
12 Lee, Hwa Jeong
12 Lee, Sangyop
12 Montesinos-Amilibia, José María
11 Dye, Heather Ann
11 Hayashi, Chuichiro
11 Kim, Sera
11 Lee, Junghoon
11 Lopes, Pedro
11 Miyazawa, Yasuyuki
11 Nikkuni, Ryo
11 Nikonov, Igor Mikhailovich
11 Shanahan, Patrick D.
11 Tran, Anh Tuan
11 Yang, Zhiqing
10 Dabkowski, Mieczysław K.
10 Huh, Youngsik
10 Kim, Jieon
10 Kim, Seongjeong
10 Morton, Hugh R.
10 Takioka, Hideo
10 Vesnin, Andrei Yu.
9 Birman, Joan S.
9 Chrisman, Micah Whitney
9 Fenn, Roger A.
9 Henrich, Allison K.
9 Horiuchi, Sumiko
9 Ichihara, Kazuhiro
9 Kim, Joonoh
9 Lee, Kyeonghui
9 Lozano, María Teresa
9 No, Sungjong
9 Shibuya, Tetsuo
9 Tsukamoto, Tatsuya
9 Yasuhara, Akira
8 Bar-Natan, Dror
8 Bartholomew, Andrew
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 Kalfagianni, Efstratia
8 Kwon, Bo-Hyun
8 Millett, Kenneth C.
8 Mishra, Rama
8 Park, Chan-Young
8 Seo, Myoungsoo
8 Shima, Akiko
8 Stoimenow, Alexander
8 Tanaka, Toshifumi
7 Bellingeri, Paolo
...and 2,027 more Authors
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Fields

2,630 Manifolds and cell complexes (57-XX)
282 Group theory and generalizations (20-XX)
185 Combinatorics (05-XX)
87 Quantum theory (81-XX)
71 Algebraic topology (55-XX)
59 Differential geometry (53-XX)
56 Nonassociative rings and algebras (17-XX)
52 Associative rings and algebras (16-XX)
45 Category theory; homological algebra (18-XX)
41 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)
27 Global analysis, analysis on manifolds (58-XX)
26 Number theory (11-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)
15 Probability theory and stochastic processes (60-XX)
14 Geometry (51-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Convex and discrete geometry (52-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Commutative algebra (13-XX)
7 Functional analysis (46-XX)
7 General topology (54-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)
6 Functions of a complex variable (30-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 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 Abstract harmonic analysis (43-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

1,997 Publications have been cited 12,549 times in 6,099 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
221
1992
Abstract link diagrams and virtual knots. Zbl 0997.57018
Kamada, Naoko; Kamada, Seiichi
143
2000
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
140
2002
Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002
Martin, Paul
108
1994
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
80
2020
Fast Khovanov homology computations. Zbl 1234.57013
Bar-Natan, Dror
74
2007
Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015
Abrams, Lowell
73
1996
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
72
1993
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
66
2001
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
63
2009
A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030
Henrich, Allison
59
2010
Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029
Hedden, Matthew
59
2010
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
57
1993
Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013
Kamada, Seiichi
51
1992
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
51
2001
Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037
Satoh, Shin
51
2000
Alexander groups and virtual links. Zbl 0997.57019
Silver, Daniel S.; Williams, Susan G.
50
2001
An affine index polynomial invariant of virtual knots. Zbl 1271.57040
Kauffman, Louis H.
50
2013
Perturbative Chern-Simons theory. Zbl 0861.57009
Bar-Natan, Dror
49
1995
State-sum invariants of 4-manifolds. Zbl 0883.57021
Crane, Louis; Kauffman, Louis H.; Yetter, David N.
47
1997
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
46
1992
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
45
2005
Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011
Shumakovitch, Alexander N.
44
2007
Forbidden moves unknot a virtual knot. Zbl 0997.57015
Kanenobu, Taizo
44
2001
On homology of virtual braids and Burau representation. Zbl 0997.57020
Vershinin, Vladimir V.
44
2001
Vassiliev homotopy string link invariants. Zbl 0878.57003
Bar-Natan, Dror
43
1995
A formula for the A-polynomial of twist knots. Zbl 1057.57010
Hoste, Jim; Shanahan, Patrick D.
43
2004
Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007
Kauffman, Louis H.; Radford, David E.
42
1995
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
42
2006
Link polynomials and a graphical calculus. Zbl 0795.57001
Kauffman, Louis H.; Vogel, Pierre
42
1992
A polynomial invariant of virtual links. Zbl 1284.57005
Cheng, Zhiyun; Gao, Hongzhu
42
2013
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
40
1993
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
39
2012
The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005
Hoste, Jim; Przytycki, Józef H.
38
1993
Understanding the Kauffman bracket skein module. Zbl 0932.57015
Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna
37
1999
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
37
2006
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
Ohtsuki, Tomotada
36
1996
A note on non-classical virtual knots. Zbl 1094.57012
Kishino, Toshimasa; Satoh, Shin
36
2004
A survey on Heegaard Floer homology and concordance. Zbl 1360.57002
Hom, Jennifer
36
2017
An invariant for singular knots. Zbl 1188.57010
Juyumaya, J.; Lambropoulou, S.
35
2009
A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006
Miyazawa, Yasuyuki
35
2008
Index polynomial invariant of virtual links. Zbl 1201.57005
Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl
34
2010
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
34
2003
Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003
Stoimenow, A.
33
1998
Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015
Nawata, Satoshi; Ramadevi, P.; Zodinmawia
33
2013
Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007
Lambropoulou, Sofia
32
1999
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
32
1998
Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017
Khovanov, Mikhail
32
2016
On the Casson knot invariant. Zbl 0997.57021
Polyak, Michael; Viro, Oleg
32
2001
Minimal knotted polygons on the cubic lattice. Zbl 0797.57004
Diao, Yuanan
31
1993
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
31
1996
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
31
2008
Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021
Östlund, Olof-Petter
31
2001
Magnetic graphs and an invariant for virtual links. Zbl 1116.57008
Miyazawa, Yasuyuki
30
2006
An oriented model for Khovanov homology. Zbl 1195.57024
Blanchet, Christian
30
2010
Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012
Cooper, D.; Long, D. D.
29
1996
Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007
Blatt, Simon
29
2012
On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044
Swenton, Frank J.
29
2001
A new point of view in the theory of knot and link invariants. Zbl 1002.57026
Labastida, José M. F.; Mariño, Marcos
29
2002
The simplest hyperbolic knots. Zbl 0933.57010
Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R.
28
1999
TQFT’s from homotopy 2-types. Zbl 0787.57002
Yetter, David N.
28
1993
Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015
Turner, Paul R.
27
2006
Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005
Green, R. M.
27
1998
Markov theorem for transversal links. Zbl 1046.57007
Orevkov, S. Yu.; Shevchishin, V. V.
27
2003
Stick numbers and composition of knots and links. Zbl 0884.57005
Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K.
27
1997
Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012
Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.
27
2017
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
The knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004
Diao, Yuanan
26
1995
Gauss’ linking number revisited. Zbl 1230.57009
Ricca, Renzo L.; Nipoti, Bernardo
26
2011
Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008
Juyumaya, J.
26
2004
Generalized spin models. Zbl 0842.57010
Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo
26
1994
Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002
Jin, Gyo Taek
26
1997
The Gordian complex of knots. Zbl 1004.57008
Hirasawa, Mikami; Uchida, Yoshiaki
26
2002
Detecting non-triviality of virtual links. Zbl 1049.57006
Kadokami, Teruhisa
25
2003
On random knots. Zbl 0846.57003
Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt
25
1994
Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks. Zbl 1443.16040
Bachiller, David
25
2018
A table of genus two handlebody-knots up to six crossings. Zbl 1236.57015
Ishii, Atsushi; Kishimoto, Kengo; Moriuchi, Hiromasa; Suzuki, Masaaki
24
2012
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
24
2014
Geometric knot spaces and polygonal isotopy. Zbl 1001.57024
Calvo, Jorge Alberto
24
2001
Kauffman monoids. Zbl 1025.57015
Borisavljević, Mirjana; Došen, Kosta; Petrić, Zoran
24
2002
Triple crossing number of knots and links. Zbl 1270.57014
Adams, Colin
24
2013
Quantum groups at roots of unity and modularity. Zbl 1117.17006
Sawin, Stephen F.
23
2006
The genus of closed 3-braids. Zbl 0773.57007
Xu, Peijun
23
1992
Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010
Yetter, David N.
23
1992
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
The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
23
2003
Trace fields of twist knots. Zbl 1003.57014
Hoste, Jim; Shanahan, Patrick D.
23
2001
A linking number definition of the affine index polynomial and applications. Zbl 1320.57009
Folwaczny, Lena C.; Kauffman, Louis H.
23
2013
On the complex volume of hyperbolic knots. Zbl 1226.57025
Yokota, Yoshiyuki
22
2011
Band surgery on knots and links. Zbl 1213.57011
Kanenobu, Taizo
22
2010
Singular braids and Markov’s theorem. Zbl 0885.57005
Gemein, Bernd
22
1997
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
22
1998
Braids, orderings and zero divisors. Zbl 0928.20031
Rolfsen, Dale; Zhu, Jun
22
1998
An extended bracket polynomial for virtual knots and links. Zbl 1192.57006
Kauffman, Louis H.
22
2009
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
22
2008
On the classification of quandles of low order. Zbl 1333.57026
Vendramin, L.
22
2012
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.
22
2016
Topological properties of cyclically presented groups. Zbl 1031.57002
Cavicchioli, Alberto; Repovš, Dušan; Spaggiari, Fulvia
22
2003
Vassiliev knot invariants coming from Lie algebras and 4-invariants. Zbl 0998.57034
Soboleva, E.
22
2001
Refined large \(N\) duality for knots. Zbl 1524.57001
Kameyama, Masaya; Nawata, Satoshi
5
2023
Arithmetic Chern-Simons theory with real places. Zbl 07685364
Lee, Jungin; Park, Jeehoon
3
2023
Periods of continued fractions and volumes of modular knots complements. Zbl 07774959
Rodríguez-Migueles, José Andrés
1
2023
Equivariant annular Khovanov homology. Zbl 1516.57021
Akhmechet, Rostislav
1
2023
The average genus of oriented rational links with a given crossing number. Zbl 1518.57011
Ray, Dawn; Diao, Yuanan
1
2023
Homology of relative trisection and its applications. Zbl 1521.57018
Tanimoto, Hokuto
1
2023
Fundamental heap for framed links and ribbon cocycle invariants. Zbl 07694981
Saito, Masahico; Zappala, Emanuele
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
3
2022
Bicategories for TQFTs with defects with structure. Zbl 1501.57025
Lee, I. J.; Yetter, D. N.
2
2022
Parity on based matrices. Zbl 07527792
Nikonov, Igor
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
The quantum trace as a quantum non-abelianization map. Zbl 07566140
Korinman, J.; Quesney, A.
2
2022
On long knots in the full torus. Zbl 1487.57008
Kim, Sera; Kim, Seongjeong; Manturov, Vassily O.
1
2022
Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012
Nelson, Sam; Zhao, Yuqi
1
2022
The minimum number of coloring of knots. Zbl 1490.57003
Han, Youfa; Zhou, Boxin
1
2022
On linear resolvability of universal quantum dimensions. Zbl 1502.17011
Avetisyan, M. Y.; Mkrtchyan, R. L.
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
Crosscap number three alternating knots. Zbl 1497.57005
Ito, Noboru; Takimura, Yusuke
1
2022
Almost all strongly quasipositive braid closures are fibered. Zbl 07619471
Banfield, Ian M.
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
An Alexander-type invariant for doodles. Zbl 1515.57013
Cisneros, Bruno; Flores, Marcelo; Juyumaya, Jesús; Roque-Márquez, Christopher
1
2022
Goussarov-Polyak-Viro conjecture for degree three case. Zbl 1505.57017
Ito, Noboru; Kotorii, Yuka; Takamura, Masashi
1
2022
Twisted cohomology pairings of knots. II: To some Blanchfield pairings. Zbl 1497.57007
Nosaka, T.
1
2022
Twist moves and the affine index polynomials of virtual knots. Zbl 1501.57004
Jeong, Myeong-Ju; Choi, Younhee; Kim, Dojin
1
2022
The Rohlin invariant and \(\mathbb{Z}/2\)-valued invariants of homology spheres. Zbl 1498.57018
Riba, Ricard
1
2022
Quandle coloring quivers of \((p,2)\)-torus links. Zbl 1500.57001
Basi, Jagdeep; Caprau, Carmen
1
2022
Peripheral elements in reduced Alexander modules. Zbl 1511.57009
Traldi, Lorenzo
1
2022
On universal parity on free two-dimensional knots. Zbl 1511.57016
Nikonov, Igor
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
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
Torsion in Khovanov homology of homologically thin knots. Zbl 1490.57012
Shumakovitch, Alexander N.
5
2021
Fixing the functoriality of Khovanov homology: a simple approach. Zbl 07478463
Sano, Taketo
5
2021
A diagrammatic approach for determining the braid index of alternating links. Zbl 1472.57003
Diao, Yuanan; Ernst, Claus; Hetyei, Gabor; Liu, Pengyu
5
2021
Tied links in various topological settings. Zbl 1487.57004
Diamantis, Ioannis
4
2021
Polynomial invariants of singular knots and links. Zbl 1464.57009
Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed
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
3
2021
Symmetric union presentations for 2-bridge ribbon knots. Zbl 1486.57011
Lamm, Christoph
3
2021
Ribbonlength and crossing number for folded ribbon knots. Zbl 1470.57007
Denne, Elizabeth
3
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
3
2021
Arrow diagrams on spherical curves and computations. Zbl 1476.57009
Ito, Noboru; Takamura, Masashi
2
2021
On the virtual singular braid monoid. Zbl 1526.57007
Caprau, Carmen; Zepeda, Sarah
2
2021
Tied links in the solid torus. Zbl 1462.57004
Flores, Marcelo
2
2021
On two-bridge knots and a conjecture of Hirasawa-Murasugi. Zbl 1469.57005
Chen, Wenzhao
2
2021
Superbridge and bridge indices for knots. Zbl 1466.57002
Adams, Colin; Agarwal, Nikhil; Allen, Rachel; Khandhawit, Tirasan; Simons, Alex; Winarski, Rebecca; Wootters, Mary
2
2021
Twisted torus knots \(T(mn+m+1,mn+1,mn+m+2,-1)\) and \(T(n+1,n,2n-1,-1)\) are torus knots. Zbl 1467.57005
Lee, Sangyop
2
2021
Decompositions of the \(3\)-sphere and lens spaces with three handlebodies. Zbl 1483.57005
Ito, Yasuyoshi; Ogawa, Masaki
2
2021
A diagrammatic presentation and its characterization of non-split compact surfaces in the \(3\)-sphere. Zbl 1481.57011
Matsuzaki, Shosaku
2
2021
Knots with equal bridge index and braid index. Zbl 07478464
Diao, Yuanan; Ernst, Claus; Reiter, Philipp
2
2021
Parity, virtual closure and minimality of knotoids. Zbl 1491.57011
Gügümcü, N.; Kauffman, L. H.
2
2021
The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams. Zbl 1486.57006
Cohen, Moshe
2
2021
Thesaurus racks: categorizing rack objects. Zbl 1471.18007
Grøsfjeld, Tobias
2
2021
Vertex distortion of lattice knots. Zbl 1487.57003
Campisi, Marion; Cazet, Nicholas
1
2021
Linking numbers, quandles and groups. Zbl 1514.57015
Traldi, Lorenzo
1
2021
Diquandles and invariants for oriented dichromatic links. Zbl 1483.57010
Lee, Sang Youl; Sheikh, Mohd Ibrahim
1
2021
The knot invariant \(\Upsilon\) using grid homologies. Zbl 1480.57013
Földvári, Viktória
1
2021
On arrow polynomials of checkerboard colorable virtual links. Zbl 1479.57028
Deng, Qingying; Jin, Xian’an; Kauffman, Louis H.
1
2021
On the potential functions for a link diagram. Zbl 1486.57015
Yoon, Seokbeom
1
2021
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces. Zbl 1484.57007
Kauffman, Louis H.; Nikonov, Igor Mikhailovich; Ogasa, Eiji
1
2021
Determining the doubly slice genera of prime knots with up to \(12\) crossings. Zbl 1479.57014
Karageorghis, Lucia P.; Swenton, Frank
1
2021
On equivalence of symmetric union presentations for ribbon knots. Zbl 1483.57009
Tanaka, Toshifumi
1
2021
Writhe-like invariants of alternating links. Zbl 1464.57001
Diao, Yuanan; Pham, Van
1
2021
Quandle coloring quivers of links using dihedral quandles. Zbl 1468.57007
Taniguchi, Yuta
1
2021
Unknotting operations on knots and links*. Zbl 1467.57007
Shimizu, Ayaka
1
2021
The reduced Dijkgraaf-Witten invariant of twist knots in the Bloch group of a finite field. Zbl 1478.57006
Karuo, Hiroaki
1
2021
Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions. Zbl 1467.57015
Oshiro, Kanako; Oyamaguchi, Natsumi
1
2021
Verification of the Jones unknot conjecture up to 24 crossings. Zbl 1466.57006
Tuzun, Robert E.; Sikora, Adam S.
1
2021
Group presentations for links in thickened surfaces. Zbl 1472.57008
Silver, Daniel S.; Williams, Susan G.
1
2021
Co-dimension two spinal open book embeddings of \(3\)-manifolds. Zbl 1484.57025
Pandit, Suhas; Selvakumar, A.
1
2021
Biquandle brackets and knotoids. Zbl 1493.57005
Gügümcü, Neslihan; Nelson, Sam; Oyamaguchi, Natsumi
1
2021
The number of oriented rational links with a given deficiency number. Zbl 1481.57009
Diao, Yuanan; Finney, Michael Lee; Ray, Dawn
1
2021
Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups. Zbl 07459708
Ocampo, Oscar
1
2021
Connected sum of virtual knots and \(\boldsymbol{F} \)-polynomials. Zbl 1486.57017
Ivanov, Maxim
1
2021
Weakly reducible \(H^\prime\)-splittings of \(3\)-manifolds. Zbl 1485.57015
Gao, Yaru; Li, Fengling; Liang, Liang; Lei, Fengchun
1
2021
Local-moves on knots and products of knots. II. Zbl 1485.57020
Kauffman, Louis H.; Ogasa, Eiji
1
2021
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths. Zbl 1482.52016
Abrosimov, Nikolay; Vuong, Bao
1
2021
Singquandles, psyquandles, and singular knots: a survey. Zbl 1486.57016
Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed; Hajij, Mustafa
1
2021
Coefficients of Catalan states without nesting and maximal number of returns. Zbl 1494.57027
Dabkowski, M. K.; Merrill, A. D.
1
2021
Integral geometric orbifolds. Zbl 1521.57022
Lozano, María Teresa; Montesinos-Amilibia, José María
1
2021
The second Yang-Baxter homology for the HOMFLYPT polynomial. Zbl 1490.57011
Przytycki, Józef H.; Wang, Xiao
1
2021
Multiflypes of rectangular diagrams of links. Zbl 1473.57011
Dynnikov, Ivan; Sokolova, Vera
1
2021
A relation between the crossing number and the height of a knotoid. Zbl 1479.57024
Korablev, Philipp; Tarkaev, Vladimir
1
2021
A free-group valued invariant of free knots. Zbl 1473.57028
Manturov, Vassily Olegovich
1
2021
Polynomial invariants, knot homologies, and higher twist numbers of weaving knots \(\boldsymbol{W} ( 3 , \boldsymbol{n} )\). Zbl 1470.57021
Mishra, Rama; Staffeldt, Ross
1
2021
A lower bound on critical points of the electric potential of a knot. Zbl 1470.57017
Lipton, Max
1
2021
Virtual concordance and the generalized Alexander polynomial. Zbl 1479.57021
Boden, Hans U.; Chrisman, Micah
1
2021
More 1-cocycles for classical knots. Zbl 1470.57008
Fiedler, Thomas
1
2021
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
80
2020
Large color \(R\)-matrix for knot complements and strange identities. Zbl 1460.57014
Park, Sunghyuk
14
2020
Planar pure braids on six strands. Zbl 1512.20120
Mostovoy, Jacob; Roque-Márquez, Christopher
8
2020
A note on representations of welded braid groups. Zbl 1508.20040
Bellingeri, Paolo; Soulié, Arthur
6
2020
...and 1259 more Documents
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Cited by 4,213 Authors

97 Kauffman, Louis Hirsch
67 Nelson, Sam
60 Manturov, Vassiliĭ Olegovich
49 Kamada, Seiichi
44 Saito, Masahico
43 Elhamdadi, Mohamed
41 Stoimenow, Alexander
37 Przytycki, Józef Henryk
35 Morozov, Alexei Yurievich
34 Bardakov, Valeriĭ Georgievich
34 Diao, Yuanan
34 Garoufalidis, Stavros
34 Ito, Tetsuya
33 Ito, Noboru
33 Satoh, Shin
31 Lambropoulou, Sofia S. F.
30 Adams, Colin C.
30 Kawauchi, Akio
30 Lee, Sang Youl
30 Mironov, Andrei D.
30 Oh, Seungsang
29 Jin, Xian’an
29 Kanenobu, Taizo
28 Carter, J. Scott
27 East, James
26 Ishii, Atsushi
26 Kamada, Naoko
26 Nakanishi, Yasutaka
26 Silver, Daniel S.
25 Patureau-Mirand, Bertrand
25 Tran, Anh Tuan
25 Yasuhara, Akira
24 Geer, Nathan
24 Ichihara, Kazuhiro
24 Spaggiari, Fulvia
24 Williams, Susan G.
23 Cavicchioli, Alberto
23 Ernst, Claus
23 Le, Thang Tu Quoc
23 Oshiro, Kanako
22 Im, Young Ho
22 Khovanov, Mikhail G.
22 Ozawa, Makoto
22 Traldi, Lorenzo
21 Mellor, Blake
21 Morozov, Andreĭ Alekseevich
21 Orevkov, Stepan Yur’evich
20 Andersen, Jørgen Ellegaard
20 Bellingeri, Paolo
20 Boden, Hans U.
20 Chbili, Nafaa
20 Sazdanović, Radmila
20 Singh, Mahender
19 Gukov, Sergei
19 Jeong, Myeong-Ju
19 Mattman, Thomas W.
19 Meilhan, Jean-Baptiste
19 Motegi, Kimihiko
19 Shimizu, Ayaka
19 Teragaito, Masakazu
19 Vesnin, Andrei Yu.
18 Cheng, Zhiyun
18 Frohman, Charles D.
18 Guaschi, John
18 Jablan, Slavik Vlado
18 Lee, Hwa Jeong
18 Nakamura, Takuji
18 Nikkuni, Ryo
18 Ohyama, Yoshiyuki
17 Bae, Yongju
17 Cristofori, Paola
17 Lei, Fengchun
17 Purcell, Jessica Shepherd
17 Qi, You
17 Xue, Kang
16 Baker, Kenneth L.
16 Blatt, Simon
16 Chrisman, Micah Whitney
16 Dehornoy, Patrick
16 Dye, Heather Ann
16 Fleming, Thomas R.
16 Jin, Gyo Taek
16 Kofman, Ilya
16 Livingston, Charles
16 Martin, Paul Purdon
16 Nikonov, Igor Mikhailovich
16 Reid, Alan W.
16 Shima, Akiko
15 Casali, Maria Rita
15 Champanerkar, Abhijit
15 Gonçalves, Daciberg Lima
15 Hoste, Jim
15 Kalfagianni, Efstratia
15 Kim, Sera
15 Lauda, Aaron D.
15 Lebed, Victoria
15 Lopes, Pedro
15 Nosaka, Takefumi
15 Ramadevi, Pichai
15 Reiter, Philipp
...and 4,113 more Authors
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Cited in 422 Journals

1,578 Journal of Knot Theory and its Ramifications
442 Topology and its Applications
344 Algebraic & Geometric Topology
124 Journal of Algebra
123 Transactions of the American Mathematical Society
119 Advances in Mathematics
116 Journal of High Energy Physics
114 Proceedings of the American Mathematical Society
98 Communications in Mathematical Physics
90 Geometry & Topology
88 Journal of Pure and Applied Algebra
77 Osaka Journal of Mathematics
71 Quantum Topology
67 International Journal of Mathematics
59 Geometriae Dedicata
56 Journal of Mathematical Physics
53 Mathematical Proceedings of the Cambridge Philosophical Society
50 Communications in Algebra
43 Mathematische Zeitschrift
39 Journal of Physics A: Mathematical and Theoretical
37 Nuclear Physics. B
37 Journal of Geometry and Physics
36 Journal of the Mathematical Society of Japan
35 European Journal of Combinatorics
35 Experimental Mathematics
34 Tokyo Journal of Mathematics
33 Mathematische Annalen
33 Journal of Mathematical Sciences (New York)
32 Letters in Mathematical Physics
32 Pacific Journal of Mathematics
29 Journal of Topology
27 Journal of Algebraic Combinatorics
26 Discrete Mathematics
26 Selecta Mathematica. New Series
25 International Journal of Algebra and Computation
25 Journal of Algebra and its Applications
24 Journal of Combinatorial Theory. Series A
23 Inventiones Mathematicae
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22 Fundamenta Mathematicae
22 Journal of the London Mathematical Society. Second Series
22 Michigan Mathematical Journal
21 Bulletin of the London Mathematical Society
21 Duke Mathematical Journal
20 Advances in Applied Mathematics
20 The New York Journal of Mathematics
19 The Electronic Journal of Combinatorics
19 Communications in Contemporary Mathematics
18 Annales de l’Institut Fourier
18 Algebras and Representation Theory
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Chaos, Solitons and Fractals
17 Forum Mathematicum
17 Mediterranean Journal of Mathematics
16 Israel Journal of Mathematics
16 Acta Mathematica Vietnamica
15 Discrete & Computational Geometry
15 Bulletin of the American Mathematical Society. New Series
15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
15 Boletín de la Sociedad Matemática Mexicana. Third Series
15 Winter Braids Lecture Notes
14 International Journal of Modern Physics A
14 Siberian Mathematical Journal
14 Annales Henri Poincaré
14 Journal of the Australian Mathematical Society
14 Proceedings of the Steklov Institute of Mathematics
13 Bulletin of the Australian Mathematical Society
13 Manuscripta Mathematica
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of Topology and Analysis
13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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12 Involve
11 Theoretical and Mathematical Physics
11 Compositio Mathematica
11 Indiana University Mathematics Journal
11 Journal für die Reine und Angewandte Mathematik
11 Journal of the European Mathematical Society (JEMS)
10 Journal of Graph Theory
10 Kyungpook Mathematical Journal
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10 Groups, Geometry, and Dynamics
9 Discrete Applied Mathematics
9 Journal of Statistical Physics
9 Mathematical Notes
9 Reviews in Mathematical Physics
9 Canadian Mathematical Bulletin
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Semigroup Forum
9 Applied Categorical Structures
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 Research in the Mathematical Sciences
9 Arnold Mathematical Journal
9 European Journal of Mathematics
8 Applied Mathematics and Computation
8 Journal of Combinatorial Theory. Series B
8 Memoirs of the American Mathematical Society
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Journal of Mathematical Chemistry
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