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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: Indexed cover-to-cover
Documents Indexed: 2,590 Publications (since 1992)
References Indexed: 2,244 Publications with 32,375 References.
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Latest Issues

31, No. 9 (2022)
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24, No. 14 (2015)
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24, No. 9 (2015)
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...and 207 more Volumes
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Authors

70 Kauffman, Louis Hirsch
47 Manturov, Vassiliĭ Olegovich
34 Nelson, Sam
27 Przytycki, Józef Henryk
24 Lee, Sang Youl
23 Kawauchi, Akio
23 Lambropoulou, Sofia S. F.
23 Saito, Masahico
23 Silver, Daniel S.
21 Diao, Yuanan
21 Kanenobu, Taizo
21 Nakanishi, Yasutaka
21 Williams, Susan G.
20 Ernst, Claus
20 Kamada, Seiichi
19 Bae, Yongju
19 Jin, Gyo Taek
19 Ohyama, Yoshiyuki
17 Oh, Seungsang
16 Im, Young Ho
16 Jablan, Slavik Vlado
16 Taniyama, Kouki
15 Adams, Colin C.
15 Hoste, Jim
15 Jeong, Myeong-Ju
15 Mellor, Blake
15 Teragaito, Masakazu
15 Traldi, Lorenzo
14 Carter, J. Scott
14 Hillman, Jonathan Arthur
14 Ozawa, Makoto
14 Yetter, David N.
13 Lei, Fengchun
13 Ogasa, Eiji
13 Satoh, Shin
13 Sazdanović, Radmila
13 Shimizu, Ayaka
12 Cheng, Zhiyun
12 Jin, Xian’an
12 Kamada, Naoko
12 Montesinos-Amilibia, José María
11 Bardakov, Valeriĭ Georgievich
11 Dye, Heather Ann
11 Elhamdadi, Mohamed
11 Hayashi, Chuichiro
11 Ito, Noboru
11 Kadokami, Teruhisa
11 Lee, Hwa Jeong
11 Lee, Junghoon
11 Lee, Sangyop
11 Lopes, Pedro
11 Nakamura, Takuji
10 Huh, Youngsik
10 Kim, Sera
10 Morton, Hugh R.
10 Nikkuni, Ryo
10 Shanahan, Patrick D.
10 Takioka, Hideo
10 Tran, Anh Tuan
9 Dabkowski, Mieczysław K.
9 Fenn, Roger A.
9 Henrich, Allison K.
9 Horiuchi, Sumiko
9 Lozano, María Teresa
9 Miyazawa, Yasuyuki
9 Vesnin, Andrei Yu.
9 Yang, Zhiqing
9 Yasuhara, Akira
8 Bartholomew, Andrew
8 Birman, Joan S.
8 Chmutov, Sergei V.
8 Chrisman, Micah Whitney
8 Frohman, Charles D.
8 Garoufalidis, Stavros
8 Gordon, Cameron McA.
8 Hilden, Hugh Michael
8 Hsieh, Chun-Chung
8 Ichihara, Kazuhiro
8 Janse van Rensburg, Esaias J.
8 Kalfagianni, Efstratia
8 Kim, Jieon
8 Kim, Seongjeong
8 Millett, Kenneth C.
8 Nikonov, Igor Mikhailovich
8 Park, Chan-Young
8 Seo, Myoungsoo
8 Shibuya, Tetsuo
8 Stoimenow, Alexander
8 Tanaka, Toshifumi
8 Tsukamoto, Tatsuya
7 Bar-Natan, Dror
7 Bellingeri, Paolo
7 Caprau, Carmen Livia
7 Eudave-Muñoz, Mario
7 Fleming, Thomas R.
7 Foisy, Joel Stephen
7 Ito, Tetsuya
7 Kim, Joonoh
7 Ko, Ki Hyoung
7 Kwon, Bo-Hyun
...and 1,880 more Authors
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Fields

2,482 Manifolds and cell complexes (57-XX)
267 Group theory and generalizations (20-XX)
170 Combinatorics (05-XX)
85 Quantum theory (81-XX)
69 Algebraic topology (55-XX)
56 Differential geometry (53-XX)
53 Nonassociative rings and algebras (17-XX)
49 Associative rings and algebras (16-XX)
43 Category theory; homological algebra (18-XX)
39 Algebraic geometry (14-XX)
31 Biology and other natural sciences (92-XX)
28 Dynamical systems and ergodic theory (37-XX)
27 Global analysis, analysis on manifolds (58-XX)
26 General and overarching topics; collections (00-XX)
23 Number theory (11-XX)
21 Computer science (68-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
15 History and biography (01-XX)
14 Probability theory and stochastic processes (60-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Convex and discrete geometry (52-XX)
12 Geometry (51-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
7 Mathematical logic and foundations (03-XX)
7 Commutative algebra (13-XX)
7 Functional analysis (46-XX)
7 General topology (54-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 Numerical analysis (65-XX)
2 Mechanics of particles and systems (70-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 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

1,832 Publications have been cited 10,515 times in 5,238 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
201
1992
Abstract link diagrams and virtual knots. Zbl 0997.57018
Kamada, Naoko; Kamada, Seiichi
122
2000
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
112
2002
Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002
Martin, Paul
87
1994
Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015
Abrams, Lowell
64
1996
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
62
1993
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
62
2001
Fast Khovanov homology computations. Zbl 1234.57013
Bar-Natan, Dror
60
2007
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
52
2009
A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030
Henrich, Allison
52
2010
Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013
Kamada, Seiichi
49
1992
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
48
1993
Alexander groups and virtual links. Zbl 0997.57019
Silver, Daniel S.; Williams, Susan G.
45
2001
Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029
Hedden, Matthew
44
2010
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
43
2001
Perturbative Chern-Simons theory. Zbl 0861.57009
Bar-Natan, Dror
42
1995
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
40
1992
Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037
Satoh, Shin
40
2000
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
40
2005
Link polynomials and a graphical calculus. Zbl 0795.57001
Kauffman, Louis H.; Vogel, Pierre
39
1992
Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007
Kauffman, Louis H.; Radford, David E.
39
1995
On homology of virtual braids and Burau representation. Zbl 0997.57020
Vershinin, Vladimir V.
39
2001
An affine index polynomial invariant of virtual knots. Zbl 1271.57040
Kauffman, Louis H.
39
2013
State-sum invariants of 4-manifolds. Zbl 0883.57021
Crane, Louis; Kauffman, Louis H.; Yetter, David N.
38
1997
Vassiliev homotopy string link invariants. Zbl 0878.57003
Bar-Natan, Dror
37
1995
Forbidden moves unknot a virtual knot. Zbl 0997.57015
Kanenobu, Taizo
37
2001
A formula for the A-polynomial of twist knots. Zbl 1057.57010
Hoste, Jim; Shanahan, Patrick D.
37
2004
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
37
2006
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
35
1993
A note on non-classical virtual knots. Zbl 1094.57012
Kishino, Toshimasa; Satoh, Shin
34
2004
Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011
Shumakovitch, Alexander N.
34
2007
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
33
2006
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
32
2020
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
Ohtsuki, Tomotada
32
1996
Index polynomial invariant of virtual links. Zbl 1201.57005
Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl
32
2010
Understanding the Kauffman bracket skein module. Zbl 0932.57015
Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna
32
1999
A polynomial invariant of virtual links. Zbl 1284.57005
Cheng, Zhiyun; Gao, Hongzhu
32
2013
The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005
Hoste, Jim; Przytycki, Józef H.
31
1993
A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006
Miyazawa, Yasuyuki
31
2008
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
31
2003
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
31
2012
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
30
1996
Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007
Lambropoulou, Sofia
30
1999
On the Casson knot invariant. Zbl 0997.57021
Polyak, Michael; Viro, Oleg
30
2001
Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021
Östlund, Olof-Petter
30
2001
Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015
Nawata, Satoshi; Ramadevi, P.; Zodinmawia
30
2013
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
29
1998
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
29
2008
Magnetic graphs and an invariant for virtual links. Zbl 1116.57008
Miyazawa, Yasuyuki
27
2006
Minimal knotted polygons on the cubic lattice. Zbl 0797.57004
Diao, Yuanan
27
1993
Generalized spin models. Zbl 0842.57010
Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo
26
1994
Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005
Green, R. M.
26
1998
Stick numbers and composition of knots and links. Zbl 0884.57005
Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K.
25
1997
Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003
Stoimenow, A.
25
1998
On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044
Swenton, Frank J.
25
2001
An invariant for singular knots. Zbl 1188.57010
Juyumaya, J.; Lambropoulou, S.
24
2009
Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002
Jin, Gyo Taek
24
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
24
1995
Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012
Cooper, D.; Long, D. D.
24
1996
The Gordian complex of knots. Zbl 1004.57008
Hirasawa, Mikami; Uchida, Yoshiaki
24
2002
Detecting non-triviality of virtual links. Zbl 1049.57006
Kadokami, Teruhisa
24
2003
Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007
Blatt, Simon
24
2012
Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015
Turner, Paul R.
23
2006
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
23
2014
The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
22
2003
Topological properties of cyclically presented groups. Zbl 1031.57002
Cavicchioli, Alberto; Repovš, Dušan; Spaggiari, Fulvia
22
2003
Singular braids and Markov’s theorem. Zbl 0885.57005
Gemein, Bernd
22
1997
The planarity problem for signed Gauss words. Zbl 0821.57010
Cairns, Grant; Elton, Daniel M.
22
1993
The simplest hyperbolic knots. Zbl 0933.57010
Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R.
22
1999
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
22
1998
Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012
Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.
22
2017
On the classification of quandles of low order. Zbl 1333.57026
Vendramin, L.
22
2012
Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010
Yetter, David N.
21
1992
Braids and the Nielsen-Thurston classification. Zbl 0874.57010
Bernardete, Diego; Nitecki, Zbigniew; Gutierrez, Mauricio
21
1995
On the complex volume of hyperbolic knots. Zbl 1226.57025
Yokota, Yoshiyuki
21
2011
Braids, orderings and zero divisors. Zbl 0928.20031
Rolfsen, Dale; Zhu, Jun
21
1998
Vassiliev knot invariants coming from Lie algebras and 4-invariants. Zbl 0998.57034
Soboleva, E.
21
2001
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
21
2008
On random knots. Zbl 0846.57003
Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt
20
1994
The genus of closed 3-braids. Zbl 0773.57007
Xu, Peijun
20
1992
Band surgery on knots and links. Zbl 1213.57011
Kanenobu, Taizo
20
2010
The knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004
Diao, Yuanan
20
1995
TQFT’s from homotopy 2-types. Zbl 0787.57002
Yetter, David N.
20
1993
Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006
Ohtsuki, Tomotada
20
1993
Lissajous knots. Zbl 0834.57005
Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L.
20
1994
Geometric knot spaces and polygonal isotopy. Zbl 1001.57024
Calvo, Jorge Alberto
20
2001
Trace fields of twist knots. Zbl 1003.57014
Hoste, Jim; Shanahan, Patrick D.
20
2001
Links with trivial Jones polynomial. Zbl 1001.57022
Thistlethwaite, Morwen
20
2001
Intrinsically \(n\)-linked graphs. Zbl 0998.57008
Flapan, Erica; Pommersheim, James; Foisy, Joel; Naimi, Ramin
20
2001
A new point of view in the theory of knot and link invariants. Zbl 1002.57026
Labastida, José M. F.; Mariño, Marcos
20
2002
An oriented model for Khovanov homology. Zbl 1195.57024
Blanchet, Christian
20
2010
Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008
Juyumaya, J.
20
2004
Markov theorem for transversal links. Zbl 1046.57007
Orevkov, S. Yu.; Shevchishin, V. V.
20
2003
Gauss’ linking number revisited. Zbl 1230.57009
Ricca, Renzo L.; Nipoti, Bernardo
20
2011
A table of genus two handlebody-knots up to six crossings. Zbl 1236.57015
Ishii, Atsushi; Kishimoto, Kengo; Moriuchi, Hiromasa; Suzuki, Masaaki
20
2012
Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017
Khovanov, Mikhail
20
2016
Tangle decompositions of tunnel number one knots and links. Zbl 0841.57012
Gordon, C. McA.; Reid, A. W.
19
1995
On the orbit decomposition of finite quandles. Zbl 1105.57006
Nelson, Sam; Wong, Chau-Yim
19
2006
Quantum groups at roots of unity and modularity. Zbl 1117.17006
Sawin, Stephen F.
19
2006
A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum. Zbl 0818.57006
Kobayashi, Tsuyoshi
19
1994
Bicategories for TQFTs with defects with structure. Zbl 07516327
Lee, I. J.; Yetter, D. N.
1
2022
On linear resolvability of universal quantum dimensions. Zbl 07527799
Avetisyan, M. Y.; Mkrtchyan, R. L.
1
2022
The quantum trace as a quantum non-abelianization map. Zbl 07566140
Korinman, J.; Quesney, A.
1
2022
A diagrammatic approach for determining the braid index of alternating links. Zbl 1472.57003
Diao, Yuanan; Ernst, Claus; Hetyei, Gabor; Liu, Pengyu
2
2021
Polynomial invariants of singular knots and links. Zbl 1464.57009
Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed
2
2021
Tied links in the solid torus. Zbl 1462.57004
Flores, Marcelo
2
2021
Arrow diagrams on spherical curves and computations. Zbl 1476.57009
Ito, Noboru; Takamura, Masashi
2
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
1
2021
More 1-cocycles for classical knots. Zbl 1470.57008
Fiedler, Thomas
1
2021
Superbridge and bridge indices for knots. Zbl 1466.57002
Adams, Colin; Agarwal, Nikhil; Allen, Rachel; Khandhawit, Tirasan; Simons, Alex; Winarski, Rebecca; Wootters, Mary
1
2021
Quandle coloring quivers of links using dihedral quandles. Zbl 1468.57007
Taniguchi, Yuta
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
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
1
2021
Group presentations for links in thickened surfaces. Zbl 1472.57008
Silver, Daniel S.; Williams, Susan G.
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
Writhe-like invariants of alternating links. Zbl 1464.57001
Diao, Yuanan; Pham, Van
1
2021
Tied links in various topological settings. Zbl 1487.57004
Diamantis, Ioannis
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
Local-moves on knots and products of knots. II. Zbl 1485.57020
Kauffman, Louis H.; Ogasa, Eiji
1
2021
Symmetric union presentations for 2-bridge ribbon knots. Zbl 1486.57011
Lamm, Christoph
1
2021
Torsion in Khovanov homology of homologically thin knots. Zbl 1490.57012
Shumakovitch, Alexander N.
1
2021
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
32
2020
Large color \(R\)-matrix for knot complements and strange identities. Zbl 1460.57014
Park, Sunghyuk
8
2020
A lower bound of crosscap numbers of alternating knots. Zbl 1436.57006
Ito, Noboru; Takimura, Yusuke
5
2020
Planar pure braids on six strands. Zbl 07182541
Mostovoy, Jacob; Roque-Márquez, Christopher
4
2020
Multivariate Alexander quandles. I: The module sequence of a link. Zbl 1440.57011
Traldi, Lorenzo
4
2020
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves. Zbl 1458.57005
Gill, Amrendra; Prabhakar, Madeti; Vesnin, Andrei
4
2020
Picture-valued parity-biquandle bracket. Zbl 1439.57028
Ilyutko, Denis P.; Manturov, Vassily O.
3
2020
Functoriality of Khovanov homology. Zbl 1481.57020
Vogel, Pierre
3
2020
\(F\)-polynomials of tabulated virtual knots. Zbl 1447.57009
Ivanov, Maxim; Vesnin, Andrei
3
2020
Khovanov homology and diagonalizable Frobenius algebras. Zbl 1434.57011
Turner, Paul
2
2020
Erratum to: “Multivariate Alexander quandles. II. The involutory medial quandle of a link”. Zbl 1460.57007
Traldi, Lorenzo
2
2020
Refined Chern-Simons theory in genus two. Zbl 1450.57010
Arthamonov, S.; Shakirov, Sh.
2
2020
A note on coverings of virtual knots. Zbl 1478.57011
Nakamura, Takuji; Nakanishi, Yasutaka; Satoh, Shin
2
2020
Torsion calculations in Khovanov cohomology. Zbl 1462.57019
Schütz, Dirk
2
2020
Twisted torus knots \(T(p,q,p-kq,-1)\) which are torus knots. Zbl 1452.57006
Lee, Sangyop
2
2020
A note on representations of welded braid groups. Zbl 07291658
Bellingeri, Paolo; Soulié, Arthur
2
2020
Multistring based matrices. Zbl 07240989
Freund, David R.
2
2020
Kauffman skein algebras and quantum Teichmüller spaces via factorization homology. Zbl 1471.57016
Cooke, Juliet
2
2020
A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng
1
2020
An estimation for the ascending numbers of knots by \({\Gamma} \)-polynomials. Zbl 1435.57003
Higa, Ryuji
1
2020
3-manifolds with abelian embeddings in \(S^4\). Zbl 1441.57022
Hillman, J. A.
1
2020
Labels instead of coefficients: a label bracket \([\cdot]_{\mathcal{L}}\) which dominates the Jones polynomial \(\mathcal{X}(\cdot)\), the kuperberg bracket \(|\cdot\rangle_{a_2}\), and the normalized arrow polynomial \(\mathcal{W}[\cdot]\). Zbl 1441.57009
Akimova, Alyona A.; Manturov, Vassily O.
1
2020
From biquandle structures to Hom-biquandles. Zbl 1451.57002
Horvat, E.; Crans, A. S.
1
2020
Triple-crossing projections, moves on knots and links and their minimal diagrams. Zbl 1444.57003
Jabłonowski, Michał; Trojanowski, Łukasz
1
2020
Variational formulae and estimates of O’Hara’s knot energies. Zbl 1441.53001
Kawakami, Shoya; Nagasawa, Takeyuki
1
2020
Braid index bounds ropelength from below. Zbl 1439.57009
Diao, Yuanan
1
2020
The Tutte polynomial of symmetric hyperplane arrangements. Zbl 1439.52026
Randriamaro, Hery
1
2020
A neural network approach to predicting and computing knot invariants. Zbl 1439.57015
Hughes, Mark C.
1
2020
The knot Floer cube of resolutions and the composition product. Zbl 1476.57018
Dowlin, Nathan
1
2020
On Legendrian cobordisms and generating functions. Zbl 1441.53068
Limouzineau, Maÿlis
1
2020
Knots with exactly 10 sticks. Zbl 1439.57005
Blair, Ryan; Eddy, Thomas D.; Morrison, Nathaniel; Shonkwiler, Clayton
1
2020
Comparing nonorientable three genus and nonorientable four genus of torus knots. Zbl 1439.57016
Jabuka, Stanislav; Van Cott, Cornelia A.
1
2020
Knot-theoretic flocks. Zbl 1448.57009
Niebrzydowski, Maciej; Pilitowska, Agata; Zamojska-Dzienio, Anna
1
2020
State sum invariants for flat virtual links from the chord index. Zbl 1464.57011
Lee, Kyeonghui; Im, Young Ho; Kim, Sera
1
2020
Raising crosscap number while lowering unknotting number. Zbl 1443.57003
Kerian, A.
1
2020
On realizability of Gauss diagrams and constructions of meanders. (On realizabilty of Gauss diagrams and constructions of meanders.) Zbl 1473.57012
Grinblat, Andrey; Lopatkin, Viktor
1
2020
Mapping class group representations from Drinfeld doubles of finite groups. Zbl 1448.57018
Fjelstad, Jens; Fuchs, Jürgen
1
2020
DNA origami and unknotted A-trails in torus graphs. Zbl 1447.05063
Morse, Ada; Adkisson, William; Greene, Jessica; Perry, David; Smith, Brenna; Ellis-Monaghan, Jo; Pangborn, Greta
1
2020
A multiple group rack and oriented spatial surfaces. Zbl 1447.57008
Ishii, Atsushi; Matsuzaki, Shosaku; Murao, Tomo
1
2020
Cuspidal edges with the same first fundamental forms along a knot. Zbl 1455.57032
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2020
Presentation of a ribbon \(2\)-knot. Zbl 1448.57022
Kanenobu, Taizo; Matsuda, Masafumi
1
2020
Crossing change on Khovanov homology and a categorified Vassiliev skein relation. Zbl 1476.57019
Ito, Noboru; Yoshida, Jun
1
2020
On Bennequin-type inequalities for links in tight contact 3-manifolds. Zbl 1450.57005
Cavallo, Alberto
1
2020
Positive knots and weak \((1, 3)\) homotopy. Zbl 1451.57003
Ito, Noboru; Takimura, Yusuke
1
2020
On 3-strand singular pure braid group. Zbl 07291634
Bardakov, Valeriy G.; Kozlovskaya, Tatyana A.
1
2020
Some remarks on the chord index. Zbl 1464.57010
Cheng, Zhiyun; Gao, Hongzhu; Xu, Mengjian
1
2020
Knotting probability of an arc diagram. Zbl 1460.57004
Kawauchi, Akio
1
2020
Some remarks on twin groups. Zbl 07291639
Naik, Tushar K.; Nanda, Neha; Singh, Mahender
1
2020
Black holes and topological surgery. Zbl 1455.57023
Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia
1
2020
Extending quasi-alternating links. Zbl 1469.57004
Chbili, Nafaa; Kaur, Kirandeep
1
2020
Minimal grid diagrams of 11 crossing prime alternating knots. Zbl 1456.57005
Jin, Gyo Taek; Lee, Hwa Jeong
1
2020
Edge-preserving maps of the nonseparating curve graphs, curve graphs and rectangle preserving maps of the Hatcher-Thurston graphs. Zbl 1459.57019
Irmak, Elmas
1
2020
On fertility of knot shadows. Zbl 1455.57011
Hanaki, Ryo
1
2020
Interior polynomial for signed bipartite graphs and the HOMFLY polynomial. Zbl 1464.57015
Kato, Keiju
1
2020
Genera of knots in the complex projective plane. Zbl 1464.57006
Pichelmeyer, Jake
1
2020
Shake slice and shake concordant links. Zbl 1469.57002
Bosman, Anthony M.
1
2020
String-net models for nonspherical pivotal fusion categories. Zbl 1445.18013
Runkel, Ingo
1
2020
A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class. Zbl 07240988
Sano, Taketo
1
2020
The structure of biquandle brackets. Zbl 1448.57014
Hoffer, Will; Vengal, Adu; Winstein, Vilas
1
2020
The disk complex and topologically minimal surfaces in the 3-sphere. Zbl 1460.57018
Campisi, Marion; Torres, Luis
1
2020
Multivariate Alexander quandles. II: The involutory medial quandle of a link (corrected). Zbl 1460.57008
Traldi, Lorenzo
1
2020
3-manifolds with nilpotent embeddings in \(S^4\). Zbl 1461.57007
Hillman, J. A.
1
2020
Unknotting numbers and crossing numbers of spatial embeddings of a planar graph. Zbl 1459.57003
Akimoto, Yuta; Taniyama, Kouki
1
2020
New computations of the superbridge index. Zbl 1460.57006
Shonkwiler, Clayton
1
2020
On the basic properties of \(G C_n\) sets. Zbl 1457.41002
Hakopian, Hakop A.; Vardanyan, Navasard K.
1
2020
Biquandle coloring invariants of knotoids. Zbl 1428.57004
Gügümcü, Neslihan; Nelson, Sam
8
2019
An important step for the computation of the HOMFLYPT skein module of the Lens spaces \(L(p, 1)\) via braids. Zbl 1452.57005
Diamantis, Ioannis; Lambropoulou, Sofia
5
2019
Constructing a polynomial whose nodal set is any prescribed knot or link. Zbl 1411.57010
Bode, Benjamin; Dennis, Mark R.
5
2019
Quandle coloring quivers. Zbl 1420.57032
Cho, Karina; Nelson, Sam
5
2019
Rail knotoids. Zbl 1436.57008
Kodokostas, Dimitrios; Lambropoulou, Sofia
4
2019
The Kauffman bracket skein module of the handlebody of genus 2 via braids. Zbl 07177783
Diamantis, Ioannis
4
2019
A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. Zbl 1436.57009
Kogiso, Takeyoshi; Wakui, Michihisa
4
2019
Multivariate Alexander quandles. III. Sublinks. Zbl 1436.57011
Traldi, Lorenzo
4
2019
Graph polynomials and link invariants as positive type functions on Thompson’s group \(F\). Zbl 1412.43007
Aiello, Valeriano; Conti, Roberto
4
2019
Virtual tribrackets. Zbl 1426.57029
Nelson, Sam; Pico, Shane
4
2019
Artin’s braids, braids for three space, and groups \({\Gamma}_n^4\) and \(G_n^k\). Zbl 1431.57005
Kim, Seongjeong; Manturov, V. O.
4
2019
Finite-type invariants of order one of long and framed virtual knots. Zbl 1447.57010
Petit, Nicolas
4
2019
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Cited by 3,583 Authors

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60 Nelson, Sam
56 Manturov, Vassiliĭ Olegovich
48 Kamada, Seiichi
40 Stoimenow, Alexander
39 Saito, Masahico
36 Przytycki, Józef Henryk
34 Elhamdadi, Mohamed
32 Garoufalidis, Stavros
31 Bardakov, Valeriĭ Georgievich
31 Diao, Yuanan
30 Kawauchi, Akio
29 Jin, Xian’an
29 Lee, Sang Youl
29 Morozov, Alexei Yurievich
28 Carter, J. Scott
28 Oh, Seungsang
28 Satoh, Shin
27 Ito, Tetsuya
27 Kanenobu, Taizo
27 Lambropoulou, Sofia S. F.
26 Silver, Daniel S.
25 Adams, Colin C.
25 Ishii, Atsushi
25 Ito, Noboru
24 Kamada, Naoko
24 Tran, Anh Tuan
24 Williams, Susan G.
23 East, James
23 Mironov, Andrei D.
23 Oshiro, Kanako
22 Im, Young Ho
22 Le, Thang Tu Quoc
22 Ozawa, Makoto
22 Patureau-Mirand, Bertrand
22 Yasuhara, Akira
21 Ernst, Claus
21 Geer, Nathan
21 Ichihara, Kazuhiro
21 Mellor, Blake
21 Nakanishi, Yasutaka
21 Orevkov, Stepan Yur’evich
21 Spaggiari, Fulvia
20 Cavicchioli, Alberto
20 Traldi, Lorenzo
18 Andersen, Jørgen Ellegaard
18 Bellingeri, Paolo
18 Chbili, Nafaa
18 Guaschi, John
18 Jablan, Slavik Vlado
18 Jeong, Myeong-Ju
18 Mattman, Thomas W.
18 Vesnin, Andrei Yu.
17 Bae, Yongju
17 Cheng, Zhiyun
17 Frohman, Charles D.
17 Khovanov, Mikhail G.
17 Nikkuni, Ryo
17 Ohyama, Yoshiyuki
17 Shimizu, Ayaka
17 Xue, Kang
16 Dehornoy, Patrick
16 Lei, Fengchun
16 Meilhan, Jean-Baptiste
15 Dye, Heather Ann
15 Gonçalves, Daciberg Lima
15 Jin, Gyo Taek
15 Kalfagianni, Efstratia
15 Lee, Hwa Jeong
15 Lopes, Pedro
15 Motegi, Kimihiko
15 Nakamura, Takuji
14 Boden, Hans U.
14 Cristofori, Paola
14 Eudave-Muñoz, Mario
14 Fleming, Thomas R.
14 Gukov, Sergei
14 Hoste, Jim
14 Kim, Sera
14 Lauda, Aaron D.
14 Livingston, Charles
14 Martin, Paul Purdon
14 Nosaka, Takefumi
14 Ramadevi, Pichai
14 Rowell, Eric C.
14 Sazdanović, Radmila
14 Shima, Akiko
14 Takimura, Yusuke
14 Taniyama, Kouki
14 Teragaito, Masakazu
14 Wang, Zhenghan
13 Baker, Kenneth L.
13 Chrisman, Micah Whitney
13 Gilmer, Patrick M.
13 Hedden, Matthew
13 Kadokami, Teruhisa
13 Kofman, Ilya
13 Lebed, Victoria
13 Moffatt, Iain
13 Murakami, Jun
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Cited in 391 Journals

1,446 Journal of Knot Theory and its Ramifications
410 Topology and its Applications
280 Algebraic & Geometric Topology
116 Journal of Algebra
114 Transactions of the American Mathematical Society
111 Proceedings of the American Mathematical Society
105 Advances in Mathematics
87 Communications in Mathematical Physics
80 Journal of Pure and Applied Algebra
71 Geometry & Topology
65 Osaka Journal of Mathematics
62 Journal of High Energy Physics
61 Quantum Topology
55 International Journal of Mathematics
53 Geometriae Dedicata
50 Journal of Mathematical Physics
50 Mathematical Proceedings of the Cambridge Philosophical Society
44 Communications in Algebra
39 Mathematische Zeitschrift
34 European Journal of Combinatorics
33 Journal of Geometry and Physics
32 Nuclear Physics. B
32 Journal of Mathematical Sciences (New York)
31 Journal of the Mathematical Society of Japan
31 Experimental Mathematics
30 Letters in Mathematical Physics
30 Mathematische Annalen
30 Tokyo Journal of Mathematics
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24 Discrete Mathematics
23 International Journal of Algebra and Computation
22 Journal of Combinatorial Theory. Series A
21 Inventiones Mathematicae
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20 Journal of Algebra and its Applications
18 Duke Mathematical Journal
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17 Chaos, Solitons and Fractals
17 Fundamenta Mathematicae
17 The Electronic Journal of Combinatorics
16 Acta Mathematica Vietnamica
16 Annales de l’Institut Fourier
15 Boletín de la Sociedad Matemática Mexicana. Third Series
15 Algebras and Representation Theory
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14 International Journal of Modern Physics A
14 Discrete & Computational Geometry
14 Forum Mathematicum
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Mediterranean Journal of Mathematics
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13 Bulletin of the Australian Mathematical Society
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13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
12 Manuscripta Mathematica
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9 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 Winter Braids Lecture Notes
8 Journal of Statistical Physics
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8 Indiana University Mathematics Journal
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8 Doklady Mathematics
8 Groups, Geometry, and Dynamics
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7 International Journal of Theoretical Physics
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7 Functional Analysis and its Applications
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7 Linear Algebra and its Applications
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7 Transformation Groups
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