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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: 2,468 Publications (since 1992)
References Indexed: 2,124 Publications with 30,172 References.
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Latest Issues

30, No. 7 (2021)
30, No. 6 (2021)
30, No. 5 (2021)
30, No. 4 (2021)
30, No. 3 (2021)
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30, No. 1 (2021)
29, No. 14 (2020)
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25, No. 13 (2016)
25, No. 12 (2016)
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25, No. 5 (2016)
25, No. 4 (2016)
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25, No. 2 (2016)
25, No. 1 (2016)
24, No. 14 (2015)
24, No. 13 (2015)
24, No. 12 (2015)
24, No. 11 (2015)
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24, No. 9 (2015)
24, No. 8 (2015)
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24, No. 6 (2015)
24, No. 5 (2015)
24, No. 4 (2015)
24, No. 3 (2015)
24, No. 2 (2015)
24, No. 1 (2015)
23, No. 14 (2014)
23, No. 13 (2014)
23, No. 12 (2014)
23, No. 11 (2014)
23, No. 10 (2014)
23, No. 9 (2014)
23, No. 8 (2014)
23, No. 7 (2014)
23, No. 6 (2014)
...and 191 more Volumes
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Authors

63 Kauffman, Louis Hirsch
46 Manturov, Vassiliĭ Olegovich
31 Nelson, Sam
24 Lee, Sang Youl
23 Saito, Masahico
23 Silver, Daniel S.
22 Kawauchi, Akio
22 Lambropoulou, Sofia S. F.
22 Przytycki, Józef H.
21 Nakanishi, Yasutaka
21 Williams, Susan G.
20 Kanenobu, Taizo
19 Bae, Yongju
19 Diao, Yuanan
19 Ernst, Claus
19 Kamada, Seiichi
19 Ohyama, Yoshiyuki
18 Jin, Gyo Taek
17 Oh, Seungsang
16 Im, Young Ho
16 Jablan, Slavik Vlado
15 Hoste, Jim
15 Taniyama, Kouki
14 Adams, Colin C.
14 Carter, J. Scott
14 Hillman, Jonathan Arthur
14 Mellor, Blake
14 Ozawa, Makoto
14 Teragaito, Masakazu
14 Traldi, Lorenzo
13 Jeong, Myeong-Ju
13 Satoh, Shin
13 Shimizu, Ayaka
12 Cheng, Zhiyun
12 Jin, Xian’an
12 Lei, Fengchun
12 Yetter, David N.
11 Hayashi, Chuichiro
11 Kadokami, Teruhisa
11 Kamada, Naoko
11 Lee, Junghoon
11 Lopes, Pedro
11 Montesinos-Amilibia, José María
11 Nakamura, Takuji
11 Sazdanović, Radmila
10 Bardakov, Valeriĭ Georgievich
10 Dye, Heather Ann
10 Elhamdadi, Mohamed
10 Huh, Youngsik
10 Ito, Noboru
10 Lee, Hwa Jeong
10 Lee, Sangyop
10 Morton, Hugh R.
10 Shanahan, Patrick D.
10 Tran, Anh Tuan
9 Fenn, Roger A.
9 Henrich, Allison K.
9 Horiuchi, Sumiko
9 Kim, Sera
9 Miyazawa, Yasuyuki
9 Nikkuni, Ryo
9 Ogasa, Eiji
9 Yasuhara, Akira
8 Birman, Joan S.
8 Chmutov, Sergei V.
8 Chrisman, Micah Whitney
8 Frohman, Charles D.
8 Garoufalidis, Stavros
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 Lozano, María Teresa
8 Park, Chan-Young
8 Seo, Myoungsoo
8 Shibuya, Tetsuo
8 Stoimenow, Alexander
8 Takioka, Hideo
8 Tsukamoto, Tatsuya
8 Vesnin, Andrei Yu.
8 Yang, Zhiqing
7 Bar-Natan, Dror
7 Dabkowski, Mieczysław K.
7 Eudave-Muñoz, Mario
7 Fleming, Thomas R.
7 Foisy, Joel Stephen
7 Gordon, Cameron McA.
7 Ito, Tetsuya
7 Kim, Joonoh
7 Ko, Ki Hyoung
7 Kwon, Bo-Hyun
7 Lee, Kyeonghui
7 Millett, Kenneth C.
7 Mishra, Rama
7 Oshiro, Kanako
7 Tanaka, Toshifumi
7 Yashiro, Tsukasa
...and 1,812 more Authors
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Fields

2,369 Manifolds and cell complexes (57-XX)
252 Group theory and generalizations (20-XX)
160 Combinatorics (05-XX)
85 Quantum theory (81-XX)
62 Algebraic topology (55-XX)
54 Differential geometry (53-XX)
51 Nonassociative rings and algebras (17-XX)
47 Associative rings and algebras (16-XX)
42 Category theory; homological algebra (18-XX)
38 Algebraic geometry (14-XX)
30 Biology and other natural sciences (92-XX)
28 Dynamical systems and ergodic theory (37-XX)
27 Global analysis, analysis on manifolds (58-XX)
24 General and overarching topics; collections (00-XX)
21 Number theory (11-XX)
19 Computer science (68-XX)
19 Statistical mechanics, structure of matter (82-XX)
15 Order, lattices, ordered algebraic structures (06-XX)
14 Probability theory and stochastic processes (60-XX)
13 Several complex variables and analytic spaces (32-XX)
12 History and biography (01-XX)
12 Convex and discrete geometry (52-XX)
11 Geometry (51-XX)
7 Mathematical logic and foundations (03-XX)
7 Commutative algebra (13-XX)
7 Functional analysis (46-XX)
7 Calculus of variations and optimal control; optimization (49-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

1,739 Publications have been cited 9,714 times in 4,908 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
190
1992
Abstract link diagrams and virtual knots. Zbl 0997.57018
Kamada, Naoko; Kamada, Seiichi
110
2000
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
103
2002
Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002
Martin, Paul
79
1994
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
60
1993
Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015
Abrams, Lowell
60
1996
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
60
2001
Fast Khovanov homology computations. Zbl 1234.57013
Bar-Natan, Dror
58
2007
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
50
2009
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
47
1993
A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030
Henrich, Allison
46
2010
Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013
Kamada, Seiichi
46
1992
Perturbative Chern-Simons theory. Zbl 0861.57009
Bar-Natan, Dror
42
1995
Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029
Hedden, Matthew
41
2010
Alexander groups and virtual links. Zbl 0997.57019
Silver, Daniel S.; Williams, Susan G.
40
2001
Link polynomials and a graphical calculus. Zbl 0795.57001
Kauffman, Louis H.; Vogel, Pierre
39
1992
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
38
2005
Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007
Kauffman, Louis H.; Radford, David E.
38
1995
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
38
2001
Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037
Satoh, Shin
38
2000
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
37
2006
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada
37
1992
Vassiliev homotopy string link invariants. Zbl 0878.57003
Bar-Natan, Dror
37
1995
State-sum invariants of 4-manifolds. Zbl 0883.57021
Crane, Louis; Kauffman, Louis H.; Yetter, David N.
36
1997
On homology of virtual braids and Burau representation. Zbl 0997.57020
Vershinin, Vladimir V.
35
2001
A formula for the A-polynomial of twist knots. Zbl 1057.57010
Hoste, Jim; Shanahan, Patrick D.
35
2004
Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011
Shumakovitch, Alexander N.
34
2007
A note on non-classical virtual knots. Zbl 1094.57012
Kishino, Toshimasa; Satoh, Shin
34
2004
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
34
1993
Forbidden moves unknot a virtual knot. Zbl 0997.57015
Kanenobu, Taizo
34
2001
Finite type invariants of integral homology 3-spheres. Zbl 0942.57009
Ohtsuki, Tomotada
31
1996
On the Casson knot invariant. Zbl 0997.57021
Polyak, Michael; Viro, Oleg
30
2001
A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006
Miyazawa, Yasuyuki
29
2008
Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015
Nawata, Satoshi; Ramadevi, P.; Zodinmawia
29
2013
An affine index polynomial invariant of virtual knots. Zbl 1271.57040
Kauffman, Louis H.
29
2013
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
29
2006
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
29
1998
Understanding the Kauffman bracket skein module. Zbl 0932.57015
Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna
29
1999
Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007
Lambropoulou, Sofia
29
1999
Index polynomial invariant of virtual links. Zbl 1201.57005
Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl
29
2010
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
28
1996
The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005
Hoste, Jim; Przytycki, Józef H.
28
1993
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
28
2003
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
28
2020
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
Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021
Östlund, Olof-Petter
27
2001
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
26
2008
A polynomial invariant of virtual links. Zbl 1284.57005
Cheng, Zhiyun; Gao, Hongzhu
26
2013
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
25
2012
Generalized spin models. Zbl 0842.57010
Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo
25
1994
Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003
Stoimenow, A.
25
1998
Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005
Green, R. M.
25
1998
Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012
Cooper, D.; Long, D. D.
24
1996
Stick numbers and composition of knots and links. Zbl 0884.57005
Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K.
24
1997
On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044
Swenton, Frank J.
24
2001
Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002
Jin, Gyo Taek
23
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
23
1995
Detecting non-triviality of virtual links. Zbl 1049.57006
Kadokami, Teruhisa
23
2003
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
22
2014
An invariant for singular knots. Zbl 1188.57010
Juyumaya, J.; Lambropoulou, S.
22
2009
The planarity problem for signed Gauss words. Zbl 0821.57010
Cairns, Grant; Elton, Daniel M.
22
1993
The Gordian complex of knots. Zbl 1004.57008
Hirasawa, Mikami; Uchida, Yoshiaki
22
2002
Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015
Turner, Paul R.
21
2006
On the classification of quandles of low order. Zbl 1333.57026
Vendramin, L.
21
2012
Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007
Blatt, Simon
21
2012
Braids and the Nielsen-Thurston classification. Zbl 0874.57010
Bernardete, Diego; Nitecki, Zbigniew; Gutierrez, Mauricio
21
1995
The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
21
2003
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
20
2008
On the complex volume of hyperbolic knots. Zbl 1226.57025
Yokota, Yoshiyuki
20
2011
The genus of closed 3-braids. Zbl 0773.57007
Xu, Peijun
20
1992
Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010
Yetter, David N.
20
1992
Singular braids and Markov’s theorem. Zbl 0885.57005
Gemein, Bernd
20
1997
On random knots. Zbl 0846.57003
Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt
20
1994
Vassiliev knot invariants coming from Lie algebras and 4-invariants. Zbl 0998.57034
Soboleva, E.
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
Topological properties of cyclically presented groups. Zbl 1031.57002
Cavicchioli, Alberto; Repovš, Dušan; Spaggiari, Fulvia
20
2003
Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008
Juyumaya, J.
20
2004
Quantum groups at roots of unity and modularity. Zbl 1117.17006
Sawin, Stephen F.
19
2006
TQFT’s from homotopy 2-types. Zbl 0787.57002
Yetter, David N.
19
1993
Braids, orderings and zero divisors. Zbl 0928.20031
Rolfsen, Dale; Zhu, Jun
19
1998
The knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004
Diao, Yuanan
19
1995
Tangle decompositions of tunnel number one knots and links. Zbl 0841.57012
Gordon, C. McA.; Reid, A. W.
19
1995
Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006
Ohtsuki, Tomotada
19
1993
Lissajous knots. Zbl 0834.57005
Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L.
19
1994
A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum. Zbl 0818.57006
Kobayashi, Tsuyoshi
19
1994
Geometric knot spaces and polygonal isotopy. Zbl 1001.57024
Calvo, Jorge Alberto
19
2001
Trace fields of twist knots. Zbl 1003.57014
Hoste, Jim; Shanahan, Patrick D.
19
2001
On Habiro’s \(C_n\)-moves and Vassiliev invariants of order \(n\). Zbl 0942.57011
Ohyama, Yoshiyuki; Tsukamoto, Tatsuya
19
1999
The simplest hyperbolic knots. Zbl 0933.57010
Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R.
19
1999
Geometric construction of modular functors from conformal field theory. Zbl 1123.81041
Andersen, Jørgen Ellegaard; Ueno, Kenji
18
2007
On Khovanov’s cobordism theory for \(\mathfrak{su_3}\) knot homology. Zbl 1300.57013
Morrison, Scott; Nieh, Ari
18
2008
A spanning tree model for Khovanov homology. Zbl 1167.57006
Wehrli, S.
18
2008
Band surgery on knots and links. Zbl 1213.57011
Kanenobu, Taizo
18
2010
An extended bracket polynomial for virtual knots and links. Zbl 1192.57006
Kauffman, Louis H.
18
2009
Studying surfaces via closed braids. Zbl 0907.57006
Birman, Joan S.; Finkelstein, Elizabeth
18
1998
A new point of view in the theory of knot and link invariants. Zbl 1002.57026
Labastida, José M. F.; Mariño, Marcos
18
2002
Positive alternating links are positively alternating. Zbl 0999.57005
Nakamura, Takuji
18
2000
Markov theorem for transversal links. Zbl 1046.57007
Orevkov, S. Yu.; Shevchishin, V. V.
18
2003
Tied links in the solid torus. Zbl 1462.57004
Flores, Marcelo
2
2021
The reduced Dijkgraaf-Witten invariant of twist knots in the Bloch group of a finite field. Zbl 07356489
Karuo, Hiroaki
1
2021
Group presentations for links in thickened surfaces. Zbl 1472.57008
Silver, Daniel S.; Williams, Susan G.
1
2021
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023
Lovejoy, Jeremy; Osburn, Robert
1
2021
BPS spectra and 3-manifold invariants. Zbl 1448.57020
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun
28
2020
Large color \(R\)-matrix for knot complements and strange identities. Zbl 1460.57014
Park, Sunghyuk
6
2020
Planar pure braids on six strands. Zbl 07182541
Mostovoy, Jacob; Roque-Márquez, Christopher
4
2020
A lower bound of crosscap numbers of alternating knots. Zbl 1436.57006
Ito, Noboru; Takimura, Yusuke
3
2020
Multivariate Alexander quandles. I: The module sequence of a link. Zbl 1440.57011
Traldi, Lorenzo
3
2020
Picture-valued parity-biquandle bracket. Zbl 1439.57028
Ilyutko, Denis P.; Manturov, Vassily O.
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 07243412
Nakamura, Takuji; Nakanishi, Yasutaka; Satoh, Shin
2
2020
Positive knots and weak \((1, 3)\) homotopy. Zbl 1451.57003
Ito, Noboru; Takimura, Yusuke
1
2020
Twisted torus knots \(T(p,q,p-kq,-1)\) which are torus knots. Zbl 1452.57006
Lee, Sangyop
1
2020
Some remarks on the chord index. Zbl 1464.57010
Cheng, Zhiyun; Gao, Hongzhu; Xu, Mengjian
1
2020
Some remarks on twin groups. Zbl 07291639
Naik, Tushar K.; Nanda, Neha; Singh, Mahender
1
2020
A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng
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
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
Functoriality of Khovanov homology. Zbl 07204975
Vogel, Pierre
1
2020
The knot Floer cube of resolutions and the composition product. Zbl 07205051
Dowlin, Nathan
1
2020
Knots with exactly 10 sticks. Zbl 1439.57005
Blair, Ryan; Eddy, Thomas D.; Morrison, Nathaniel; Shonkwiler, Clayton
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
Mapping class group representations from Drinfeld doubles of finite groups. Zbl 1448.57018
Fjelstad, Jens; Fuchs, Jürgen
1
2020
Erratum to: “Multivariate Alexander quandles. II. The involutory medial quandle of a link”. Zbl 1460.57007
Traldi, Lorenzo
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 07243409
Ito, Noboru; Yoshida, Jun
1
2020
\(F\)-polynomials of tabulated virtual knots. Zbl 1447.57009
Ivanov, Maxim; Vesnin, Andrei
1
2020
On Bennequin-type inequalities for links in tight contact 3-manifolds. Zbl 1450.57005
Cavallo, Alberto
1
2020
The disk complex and topologically minimal surfaces in the 3-sphere. Zbl 1460.57018
Campisi, Marion; Torres, Luis
1
2020
Biquandle coloring invariants of knotoids. Zbl 1428.57004
Gügümcü, Neslihan; Nelson, Sam
5
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
4
2019
Constructing a polynomial whose nodal set is any prescribed knot or link. Zbl 1411.57010
Bode, Benjamin; Dennis, Mark R.
4
2019
Quandle coloring quivers. Zbl 1420.57032
Cho, Karina; Nelson, Sam
4
2019
\(L\)-spaces, left-orderability and two-bridge knots. Zbl 1422.57009
Ba, Idrissa
3
2019
Virtual tribrackets. Zbl 1426.57029
Nelson, Sam; Pico, Shane
3
2019
Finite-type invariants of order one of long and framed virtual knots. Zbl 1447.57010
Petit, Nicolas
3
2019
Rail knotoids. Zbl 1436.57008
Kodokostas, Dimitrios; Lambropoulou, Sofia
3
2019
The Kauffman bracket skein module of the handlebody of genus 2 via braids. Zbl 07177783
Diamantis, Ioannis
3
2019
Transverse invariants from Khovanov-type homologies. Zbl 1409.57004
Collari, Carlo
3
2019
Multivariate Alexander quandles. III. Sublinks. Zbl 1436.57011
Traldi, Lorenzo
3
2019
Triple-crossing number and moves on triple-crossing link diagrams. Zbl 1431.57001
Adams, Colin; Hoste, Jim; Palmer, Martin
2
2019
Biquandle virtual brackets. Zbl 1436.57014
Nelson, Sam; Oshiro, Kanako; Shimizu, Ayaka; Yaguchi, Yoshiro
2
2019
An explicit symmetric DGLA model of a bi-gon. Zbl 1471.17036
Gadish, Nir; Griniasty, Itay; Lawrence, Ruth
2
2019
Positively twisted torus knots which are torus knots. Zbl 1426.57014
Lee, Sangyop
2
2019
Cable knots do not admit cosmetic surgeries. Zbl 1429.57007
Tao, Ran
2
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.
2
2019
Classification of ribbon 2-knots presented by virtual arcs with up to four crossings. Zbl 1429.57017
Kanenobu, Taizo; Sumi, Toshio
2
2019
tg-hyperbolicity of virtual links. Zbl 1472.57009
Adams, Colin; Eisenberg, Or; Greenberg, Jonah; Kapoor, Kabir; Liang, Zhen; O’Connor, Kate; Pacheco-Tallaj, Natalia; Wang, Yi
2
2019
Universal knot diagrams. Zbl 1440.57002
Even-Zohar, Chaim; Hass, Joel; Linial, Nati; Nowik, Tahl
2
2019
Constructing links of isolated singularities of polynomials \(\mathbb{R}^4 \rightarrow \mathbb{R}^2\). Zbl 1411.57009
Bode, Benjamin
2
2019
Triple crossing number and double crossing braid index. Zbl 1410.57008
Nishida, Daishiro
2
2019
Graph polynomials and link invariants as positive type functions on Thompson’s group \(F\). Zbl 1412.43007
Aiello, Valeriano; Conti, Roberto
2
2019
Rectangle condition for bridge decompositions of links. Zbl 1435.57004
Kwon, Bo-Hyun
2
2019
A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. Zbl 1436.57009
Kogiso, Takeyoshi; Wakui, Michihisa
2
2019
The ropelengths of knots are almost linear in terms of their crossing numbers. Zbl 1441.57006
Diao, Yuanan; Ernst, Claus; Por, Attila; Ziegler, Uta
2
2019
Minimal hard surface-unlink and classical unlink diagrams. Zbl 1432.57038
Jabłonowski, Michał
1
2019
A new two-variable generalization of the Jones polynomial. Zbl 1432.57024
Goundaroulis, Dimos; Lambropoulou, Sofia
1
2019
Infinitesimal bending of knots and energy change. Zbl 1429.53004
Kauffman, Louis H.; Velimirović, Ljubica S.; Najdanović, Marija S.; Rančić, Svetozar R.
1
2019
Families of not perfectly straight knots. Zbl 1422.57027
Owad, Nicholas J.
1
2019
Finite \(n\)-quandles of torus and two-bridge links. Zbl 1418.57005
Crans, Alissa S.; Mellor, Blake; Shanahan, Patrick D.; Hoste, Jim
1
2019
Ascending number and Conway polynomial. Zbl 1426.57009
Higa, Ryuji
1
2019
The character variety of some classes of rational knots. Zbl 1425.57010
Cavicchioli, Alberto; Spaggiari, Fulvia
1
2019
Knot invariants from Laplacian matrices. Zbl 1423.57020
Silver, Daniel S.; Williams, Susan G.
1
2019
Remarks on Suzuki’s knot epimorphism number. Zbl 1431.57004
Hoste, Jim; Ocana Mercado, Joshua; Shanahan, Patrick D.
1
2019
Virtualization and \(n\)-writhes for virtual knots. Zbl 1444.57010
Ohyama, Yoshiyuki; Sakurai, Migiwa
1
2019
Quasirationality and prounipotent crossed modules. Zbl 07177775
Mikhovich, A. M.
1
2019
Virtual tangles and fiber functors. Zbl 1460.57012
Brochier, Adrien
1
2019
A simple proof of the strong integrality for full colored HOMFLYPT invariants. Zbl 1426.57033
Zhu, Shengmao
1
2019
Minimal coloring number for \(\mathbb{Z}\)-colorable links. II. Zbl 1419.57018
Matsudo, Eri
1
2019
The Alexander polynomial of links in Lens spaces. Zbl 1422.57022
Horvat, E.; Gabrovšek, Boštjan
1
2019
Stability properties of the colored Jones polynomial. Zbl 1444.57005
Lee, Christine Ruey Shan
1
2019
Alexander- and Markov-type theorems for virtual trivalent braids. Zbl 1418.57003
Caprau, Carmen; Dirdak, Abigayle; Post, Rita; Sawyer, Erica
1
2019
The total curvature of knots under second-order infinitesimal bending. Zbl 1410.53005
Najdanović, Marija S.; Rančić, Svetozar R.; Kauffman, Louis H.; Velimirović, Ljubica S.
1
2019
Cubulated moves for 2-knots. Zbl 1409.57026
Díaz, Juan Pablo; Hinojosa, Gabriela; Verjosvky, Alberto
1
2019
Infinite families of prime knots with \(\mathrm{alt}(K) = 1\) and their Alexander polynomials. Zbl 1412.57004
de los Angeles Guevara Hernández, María; Cabrera Ibarra, Hugo
1
2019
Continuous cohomology of topological quandles. Zbl 1432.57011
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2019
Virtual Seifert surfaces. Zbl 1422.57017
Chrisman, Micah
1
2019
An ergodic algorithm for generating knots with a prescribed injectivity radius. Zbl 1429.57004
Chapman, Kyle Leland
1
2019
Properties of minimal charts and their applications. V. Charts of type \((3,2,2)\). Zbl 1434.57016
Nagase, Teruo; Shima, Akiko
1
2019
Oriented local moves and divisibility of the Jones-Kauffman polynomial. Zbl 1436.57002
Drube, Paul; Pongtanapaisan, Puttipong
1
2019
Classification of Legendrian knots of topological type \(7_6\) with maximal Thurston-Bennequin number. Zbl 1436.57003
Dynnikov, Ivan; Prasolov, Maxim
1
2019
Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks. Zbl 1443.16040
Bachiller, David
12
2018
Generating sets of Reidemeister moves of oriented singular links and quandles. Zbl 1414.57004
Bataineh, Khaled; Elhamdadi, Mohamed; Hajij, Mustafa; Youmans, William
9
2018
Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants. Zbl 1428.57005
Kaur, Kirandeep; Prabhakar, Madeti; Vesnin, Andrei
8
2018
Doodles on surfaces. Zbl 1403.57003
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
7
2018
Boltzmann enhancements of biquasile counting invariants. Zbl 1411.57023
Choi, Wonhyuk; Needell, Deanna; Nelson, Sam
6
2018
Virtual knot cobordism and the affine index polynomial. Zbl 1436.57007
Kauffman, Louis H.
5
2018
Equivalence of two definitions of set-theoretic Yang-Baxter homology and general Yang-Baxter homology. Zbl 1398.57019
Przytycki, Józef H.; Wang, Xiao
3
2018
The Legendrian knot complement problem. Zbl 1467.53088
Kegel, Marc
3
2018
The structure of a minimal \(n\)-chart with two crossings. I: Complementary domains of \({\Gamma}_1 \cup {\Gamma}_{n - 1}\). Zbl 1408.57025
Nagase, Teruo; Shima, Akiko
3
2018
Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Zbl 06966581
Elhamdadi, Mohamed; Liu, Minghui; Nelson, Sam
3
2018
A distance on the equivalence classes of spherical curves generated by deformations of type RI. Zbl 1404.57009
Funakoshi, Yukari; Hashizume, Megumi; Ito, Noboru; Kobayashi, Tsuyoshi; Murai, Hiroko
3
2018
Presentation of immersed surface-links by marked graph diagrams. Zbl 1401.57035
Kamada, Seiichi; Kawauchi, Akio; Kim, Jieon; Lee, Sang Youl
3
2018
On unrolled Hopf algebras. Zbl 1434.16016
Andruskiewitsch, Nicolás; Schweigert, Christoph
3
2018
...and 1239 more Documents
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Cited by 3,395 Authors

83 Kauffman, Louis Hirsch
57 Nelson, Sam
54 Manturov, Vassiliĭ Olegovich
46 Kamada, Seiichi
39 Saito, Masahico
39 Stoimenow, Alexander
32 Elhamdadi, Mohamed
31 Garoufalidis, Stavros
31 Przytycki, Józef H.
29 Diao, Yuanan
29 Kawauchi, Akio
29 Lee, Sang Youl
29 Morozov, Alexei Yurievich
28 Carter, J. Scott
28 Jin, Xian’an
28 Satoh, Shin
27 Kanenobu, Taizo
26 Lambropoulou, Sofia S. F.
26 Oh, Seungsang
26 Silver, Daniel S.
25 Adams, Colin C.
25 Bardakov, Valeriĭ Georgievich
24 Ito, Noboru
24 Ito, Tetsuya
24 Williams, Susan G.
23 Kamada, Naoko
23 Mironov, Andrei D.
23 Tran, Anh Tuan
22 Im, Young Ho
22 Ishii, Atsushi
22 Ozawa, Makoto
22 Yasuhara, Akira
21 Le, Thang Tu Quoc
21 Nakanishi, Yasutaka
21 Orevkov, Stepan Yur’evich
21 Patureau-Mirand, Bertrand
20 East, James
20 Ernst, Claus
20 Geer, Nathan
20 Mellor, Blake
20 Oshiro, Kanako
20 Spaggiari, Fulvia
19 Cavicchioli, Alberto
19 Ichihara, Kazuhiro
19 Traldi, Lorenzo
18 Jablan, Slavik Vlado
17 Andersen, Jørgen Ellegaard
17 Bae, Yongju
17 Nikkuni, Ryo
17 Ohyama, Yoshiyuki
17 Shimizu, Ayaka
17 Xue, Kang
16 Bellingeri, Paolo
16 Chbili, Nafaa
16 Dehornoy, Patrick
16 Frohman, Charles D.
16 Guaschi, John
16 Lei, Fengchun
16 Mattman, Thomas W.
16 Meilhan, Jean-Baptiste
15 Cheng, Zhiyun
15 Jeong, Myeong-Ju
15 Lopes, Pedro
15 Motegi, Kimihiko
15 Nakamura, Takuji
14 Cristofori, Paola
14 Dye, Heather Ann
14 Eudave-Muñoz, Mario
14 Fleming, Thomas R.
14 Gonçalves, Daciberg Lima
14 Hoste, Jim
14 Jin, Gyo Taek
14 Lee, Hwa Jeong
14 Martin, Paul Purdon
14 Ramadevi, Pichai
14 Rowell, Eric C.
14 Teragaito, Masakazu
14 Vesnin, Andrei Yu.
14 Wang, Zhenghan
13 Baker, Kenneth L.
13 Boden, Hans U.
13 Chrisman, Micah Whitney
13 Hedden, Matthew
13 Kadokami, Teruhisa
13 Kalfagianni, Efstratia
13 Khovanov, Mikhail G.
13 Kim, Sera
13 Kofman, Ilya
13 Lauda, Aaron D.
13 Lebed, Victoria
13 Moffatt, Iain
13 Murakami, Jun
13 Nosaka, Takefumi
13 Sazdanović, Radmila
13 Shima, Akiko
13 Takimura, Yusuke
13 Taniyama, Kouki
12 Casali, Maria Rita
12 Champanerkar, Abhijit
12 Chmutov, Sergei V.
...and 3,295 more Authors
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Cited in 365 Journals

1,361 Journal of Knot Theory and its Ramifications
396 Topology and its Applications
280 Algebraic & Geometric Topology
110 Transactions of the American Mathematical Society
109 Proceedings of the American Mathematical Society
108 Journal of Algebra
103 Advances in Mathematics
86 Communications in Mathematical Physics
72 Journal of Pure and Applied Algebra
71 Geometry & Topology
62 Journal of High Energy Physics
60 Osaka Journal of Mathematics
56 Quantum Topology
53 International Journal of Mathematics
49 Journal of Mathematical Physics
49 Geometriae Dedicata
48 Mathematical Proceedings of the Cambridge Philosophical Society
43 Communications in Algebra
33 Mathematische Zeitschrift
33 European Journal of Combinatorics
32 Journal of Mathematical Sciences (New York)
30 Letters in Mathematical Physics
30 Journal of Geometry and Physics
29 Journal of the Mathematical Society of Japan
29 Mathematische Annalen
29 Tokyo Journal of Mathematics
28 Nuclear Physics. B
27 Experimental Mathematics
25 Journal of Algebraic Combinatorics
23 Discrete Mathematics
22 Journal of Combinatorial Theory. Series A
22 International Journal of Algebra and Computation
21 Quantum Information Processing
20 Inventiones Mathematicae
18 Duke Mathematical Journal
18 Advances in Applied Mathematics
17 Chaos, Solitons and Fractals
17 Selecta Mathematica. New Series
16 Journal of Algebra and its Applications
15 Acta Mathematica Vietnamica
15 Annales de l’Institut Fourier
15 The Electronic Journal of Combinatorics
14 International Journal of Modern Physics A
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Proceedings of the Steklov Institute of Mathematics
14 Journal of Topology
13 Bulletin of the Australian Mathematical Society
13 Israel Journal of Mathematics
13 Boletín de la Sociedad Matemática Mexicana. Third Series
13 Communications in Contemporary Mathematics
13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
12 Fundamenta Mathematicae
12 Michigan Mathematical Journal
12 Siberian Mathematical Journal
12 Discrete & Computational Geometry
12 Forum Mathematicum
12 Bulletin of the American Mathematical Society. New Series
12 Algebras and Representation Theory
12 Journal of the Australian Mathematical Society
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Mediterranean Journal of Mathematics
11 Compositio Mathematica
11 Manuscripta Mathematica
11 Pacific Journal of Mathematics
11 Annales Henri Poincaré
11 Journal of Physics A: Mathematical and Theoretical
10 Theoretical and Mathematical Physics
10 Acta Mathematica Sinica. English Series
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Journal of Topology and Analysis
9 Discrete Applied Mathematics
9 Glasgow Mathematical Journal
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9 Winter Braids Lecture Notes
8 Journal of Statistical Physics
8 Mathematical Notes
8 Reviews in Mathematical Physics
8 Journal of Combinatorial Theory. Series B
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Semigroup Forum
8 The New York Journal of Mathematics
8 Journal of Mathematical Chemistry
8 Doklady Mathematics
8 Groups, Geometry, and Dynamics
7 International Journal of Theoretical Physics
7 Applied Mathematics and Computation
7 Functional Analysis and its Applications
7 Journal of Graph Theory
7 Journal of the London Mathematical Society. Second Series
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Revista Matemática Complutense
7 Journal of the European Mathematical Society (JEMS)
7 Journal of Homotopy and Related Structures
7 Research in the Mathematical Sciences
7 Arnold Mathematical Journal
6 Journal of Mathematical Biology
6 Indiana University Mathematics Journal
6 International Journal of Mathematics and Mathematical Sciences
6 Journal of Geometry
6 Journal für die Reine und Angewandte Mathematik
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Cited in 58 Fields

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