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: 2,772 Publications (since 1992) References Indexed: 2,424 Publications with 35,687 References. all top 5 Latest Issues 33, No. 7 (2024) 33, No. 6 (2024) 33, No. 5 (2024) 33, No. 4 (2024) 33, No. 3 (2024) 33, No. 2 (2024) 33, No. 1 (2024) 32, No. 14 (2023) 32, No. 13 (2023) 32, No. 12 (2023) 32, No. 11 (2023) 32, No. 10 (2023) 32, No. 9 (2023) 32, No. 8 (2023) 32, No. 7 (2023) 32, No. 6 (2023) 32, No. 5 (2023) 32, No. 4 (2023) 32, No. 3 (2023) 32, No. 2 (2023) 32, No. 1 (2023) 31, No. 14 (2022) 31, No. 13 (2022) 31, No. 12 (2022) 31, No. 11 (2022) 31, No. 10 (2022) 31, No. 9 (2022) 31, No. 8 (2022) 31, No. 7 (2022) 31, No. 6 (2022) 31, No. 5 (2022) 31, No. 4 (2022) 31, No. 3 (2022) 31, No. 2 (2022) 31, No. 1 (2022) 30, No. 14 (2021) 30, No. 13 (2021) 30, No. 12 (2021) 30, No. 11 (2021) 30, No. 10 (2021) 30, No. 9 (2021) 30, No. 8 (2021) 30, No. 7 (2021) 30, No. 6 (2021) 30, No. 5 (2021) 30, No. 4 (2021) 30, No. 3 (2021) 30, No. 2 (2021) 30, No. 1 (2021) 29, No. 14 (2020) 29, No. 13 (2020) 29, No. 12 (2020) 29, No. 11 (2020) 29, No. 10 (2020) 29, No. 9 (2020) 29, No. 8 (2020) 29, No. 7 (2020) 29, No. 6 (2020) 29, No. 5 (2020) 29, No. 4 (2020) 29, No. 3 (2020) 29, No. 2 (2020) 29, No. 1 (2020) 28, No. 14 (2019) 28, No. 13 (2019) 28, No. 12 (2019) 28, No. 11 (2019) 28, No. 10 (2019) 28, No. 9 (2019) 28, No. 8 (2019) 28, No. 7 (2019) 28, No. 6 (2019) 28, No. 5 (2019) 28, No. 4 (2019) 28, No. 3 (2019) 28, No. 2 (2019) 28, No. 1 (2019) 27, No. 14 (2018) 27, No. 13 (2018) 27, No. 12 (2018) 27, No. 11 (2018) 27, No. 10 (2018) 27, No. 9 (2018) 27, No. 8 (2018) 27, No. 7 (2018) 27, No. 6 (2018) 27, No. 5 (2018) 27, No. 4 (2018) 27, No. 3 (2018) 27, No. 2 (2018) 27, No. 1 (2018) 26, No. 14 (2017) 26, No. 13 (2017) 26, No. 12 (2017) 26, No. 11 (2017) 26, No. 10 (2017) 26, No. 9 (2017) 26, No. 8 (2017) 26, No. 7 (2017) 26, No. 6 (2017) ...and 233 more Volumes all top 5 Authors 75 Kauffman, Louis Hirsch 49 Manturov, Vassiliĭ Olegovich 39 Nelson, Sam 27 Lee, Sang Youl 27 Przytycki, Józef Henryk 26 Nakanishi, Yasutaka 24 Lambropoulou, Sofia S. F. 24 Saito, Masahico 24 Silver, Daniel S. 23 Diao, Yuanan 23 Ernst, Claus 23 Kawauchi, Akio 22 Kanenobu, Taizo 22 Williams, Susan G. 21 Kamada, Seiichi 20 Jin, Gyo Taek 19 Bae, Yongju 19 Ohyama, Yoshiyuki 17 Hoste, Jim 17 Oh, Seungsang 17 Taniyama, Kouki 17 Traldi, Lorenzo 16 Adams, Colin C. 16 Im, Young Ho 16 Jablan, Slavik Vlado 16 Jeong, Myeong-Ju 16 Satoh, Shin 15 Mellor, Blake 15 Ogasa, Eiji 15 Sazdanović, Radmila 15 Shimizu, Ayaka 15 Teragaito, Masakazu 14 Carter, J. Scott 14 Hillman, Jonathan Arthur 14 Ito, Noboru 14 Ozawa, Makoto 14 Yetter, David N. 13 Kamada, Naoko 13 Lei, Fengchun 13 Nakamura, Takuji 13 Tran, Anh Tuan 12 Bardakov, Valeriĭ Georgievich 12 Cheng, Zhiyun 12 Elhamdadi, Mohamed 12 Jin, Xian’an 12 Kadokami, Teruhisa 12 Lee, Hwa Jeong 12 Lee, Sangyop 12 Montesinos-Amilibia, José María 11 Dabkowski, Mieczysław K. 11 Dye, Heather Ann 11 Hayashi, Chuichiro 11 Kim, Jieon 11 Kim, Joonoh 11 Kim, Sera 11 Lee, Junghoon 11 Lopes, Pedro 11 Miyazawa, Yasuyuki 11 Nikkuni, Ryo 11 Nikonov, Igor Mikhailovich 11 Shanahan, Patrick D. 11 Yang, Zhiqing 10 Huh, Youngsik 10 Ichihara, Kazuhiro 10 Kim, Seongjeong 10 Morton, Hugh R. 10 Takioka, Hideo 10 Vesnin, Andrei Yu. 9 Birman, Joan S. 9 Chrisman, Micah Whitney 9 Fenn, Roger A. 9 Henrich, Allison K. 9 Horiuchi, Sumiko 9 Lee, Kyeonghui 9 Lozano Imízcoz, María Teresa 9 Mishra, Rama 9 No, Sungjong 9 Shibuya, Tetsuo 9 Tsukamoto, Tatsuya 9 Yasuhara, Akira 8 Bar-Natan, Dror 8 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 Kwon, Bo-Hyun 8 Millett, Kenneth C. 8 Park, Chan-Young 8 Seo, Myoungsoo 8 Shima, Akiko 8 Stoimenow, Alexander 8 Tanaka, Toshifumi 7 Bellingeri, Paolo 7 Brittenham, Mark ...and 2,048 more Authors all top 5 Fields 2,661 Manifolds and cell complexes (57-XX) 284 Group theory and generalizations (20-XX) 185 Combinatorics (05-XX) 86 Quantum theory (81-XX) 70 Algebraic topology (55-XX) 60 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) 42 Algebraic geometry (14-XX) 31 Biology and other natural sciences (92-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 General and overarching topics; collections (00-XX) 26 Number theory (11-XX) 26 Global analysis, analysis on manifolds (58-XX) 26 Computer science (68-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 History and biography (01-XX) 16 Probability theory and stochastic processes (60-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Geometry (51-XX) 13 Convex and discrete geometry (52-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Commutative algebra (13-XX) 7 Functions of a complex variable (30-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) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 4 General algebraic systems (08-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,051 Publications have been cited 13,202 times in 6,430 Documents Cited by ▼ Year ▼ Racks and links in codimension two. Zbl 0787.57003 Fenn, Roger; Rourke, Colin 229 1992 Abstract link diagrams and virtual knots. Zbl 0997.57018 Kamada, Naoko; Kamada, Seiichi 147 2000 Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007 Carter, J. Scott; Kamada, Seiichi; Saito, Masahico 143 2002 Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002 Martin, Paul 118 1994 BPS spectra and 3-manifold invariants. Zbl 1448.57020 Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun 86 2020 Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015 Abrams, Lowell 81 1996 Fast Khovanov homology computations. Zbl 1234.57013 Bar-Natan, Dror 80 2007 On the invariants of torus knots derived from quantum groups. Zbl 0787.57006 Rosso, Marc; Jones, Vaughan 75 1993 Geometric interpretations of quandle homology. Zbl 1002.57019 Carter, J. Scott; Kamada, Seiichi; Saito, Masahico 67 2001 Virtual crossing number and the arrow polynomial. Zbl 1195.57028 Dye, H. A.; Kauffman, Louis H. 66 2009 Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029 Hedden, Matthew 62 2010 The skein method for three-manifold invariants. Zbl 0793.57003 Lickorish, W. B. R. 61 1993 A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030 Henrich, Allison 60 2010 State-sum invariants of 4-manifolds. Zbl 0883.57021 Crane, Louis; Kauffman, Louis H.; Yetter, David N. 57 1997 Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037 Satoh, Shin 54 2000 An affine index polynomial invariant of virtual knots. Zbl 1271.57040 Kauffman, Louis H. 53 2013 Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016 Nelson, Sam 52 2001 Perturbative Chern-Simons theory. Zbl 0861.57009 Bar-Natan, Dror 52 1995 Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013 Kamada, Seiichi 51 1992 Alexander groups and virtual links. Zbl 0997.57019 Silver, Daniel S.; Williams, Susan G. 50 2001 Invariants of colored links. Zbl 0758.57004 Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada 49 1992 Categorifications of the colored Jones polynomial. Zbl 1083.57019 Khovanov, Mikhail 49 2005 Link polynomials and a graphical calculus. Zbl 0795.57001 Kauffman, Louis H.; Vogel, Pierre 47 1992 Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011 Shumakovitch, Alexander N. 46 2007 Forbidden moves unknot a virtual knot. Zbl 0997.57015 Kanenobu, Taizo 45 2001 Vassiliev homotopy string link invariants. Zbl 0878.57003 Bar-Natan, Dror 45 1995 A formula for the A-polynomial of twist knots. Zbl 1057.57010 Hoste, Jim; Shanahan, Patrick D. 45 2004 On homology of virtual braids and Burau representation. Zbl 0997.57020 Vershinin, Vladimir V. 44 2001 Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007 Kauffman, Louis H.; Radford, David E. 44 1995 A polynomial invariant of virtual links. Zbl 1284.57005 Cheng, Zhiyun; Gao, Hongzhu 44 2013 Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034 Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan 44 2006 Introduction to virtual knot theory. Zbl 1255.57005 Kauffman, Louis H. 42 2012 A survey on Heegaard Floer homology and concordance. Zbl 1360.57002 Hom, Jennifer 41 2017 Understanding the Kauffman bracket skein module. Zbl 0932.57015 Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna 40 1999 Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020 Carter, J. Scott; Saito, Masahico 40 1993 Virtual braids and the \(L\)-move. Zbl 1105.57002 Kauffman, Louis H.; Lambropoulou, Sofia 40 2006 The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005 Hoste, Jim; Przytycki, Józef H. 38 1993 Finite type invariants of integral homology 3-spheres. Zbl 0942.57009 Ohtsuki, Tomotada 38 1996 A note on non-classical virtual knots. Zbl 1094.57012 Kishino, Toshimasa; Satoh, Shin 37 2004 An invariant for singular knots. Zbl 1188.57010 Juyumaya, J.; Lambropoulou, S. 37 2009 Extensions of quandles and cocycle knot invariants. Zbl 1049.57008 Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico 36 2003 A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006 Miyazawa, Yasuyuki 36 2008 Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003 Stoimenow, A. 35 1998 Minimal knotted polygons on the cubic lattice. Zbl 0797.57004 Diao, Yuanan 35 1993 An oriented model for Khovanov homology. Zbl 1195.57024 Blanchet, Christian 34 2010 Index polynomial invariant of virtual links. Zbl 1201.57005 Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl 34 2010 Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015 Nawata, Satoshi; Ramadevi, P.; Zodinmawia 34 2013 Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007 Lambropoulou, Sofia 33 1999 Distinguishing mutants by knot polynomials. Zbl 0866.57002 Morton, Hugh R.; Cromwell, Peter R. 33 1996 Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017 Khovanov, Mikhail 33 2016 On the Casson knot invariant. Zbl 0997.57021 Polyak, Michael; Viro, Oleg 32 2001 Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005 Aiston, A. K.; Morton, H. R. 32 1998 TQFT’s from homotopy 2-types. Zbl 0787.57002 Yetter, David N. 32 1993 Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021 Östlund, Olof-Petter 31 2001 Quaternionic invariants of virtual knots and links. Zbl 1149.57301 Bartholomew, Andrew; Fenn, Roger 31 2008 On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044 Swenton, Frank J. 30 2001 Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012 Cooper, D.; Long, D. D. 30 1996 Magnetic graphs and an invariant for virtual links. Zbl 1116.57008 Miyazawa, Yasuyuki 30 2006 Gauss’ linking number revisited. Zbl 1230.57009 Ricca, Renzo L.; Nipoti, Bernardo 30 2011 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 30 2017 Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks. Zbl 1443.16040 Bachiller, David 30 2018 The simplest hyperbolic knots. Zbl 0933.57010 Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R. 29 1999 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 knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004 Diao, Yuanan 29 1995 Markov theorem for transversal links. Zbl 1046.57007 Orevkov, S. Yu.; Shevchishin, V. V. 29 2003 Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007 Blatt, Simon 29 2012 Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005 Green, R. M. 28 1998 Stick numbers and composition of knots and links. Zbl 0884.57005 Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K. 28 1997 Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008 Juyumaya, J. 28 2004 On random knots. Zbl 0846.57003 Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt 27 1994 Quantum groups at roots of unity and modularity. Zbl 1117.17006 Sawin, Stephen F. 27 2006 Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015 Turner, Paul R. 27 2006 Kauffman monoids. Zbl 1025.57015 Borisavljević, Mirjana; Došen, Kosta; Petrić, Zoran 26 2002 The Gordian complex of knots. Zbl 1004.57008 Hirasawa, Mikami; Uchida, Yoshiaki 26 2002 Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002 Jin, Gyo Taek 26 1997 Generalized spin models. Zbl 0842.57010 Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo 26 1994 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 Triple crossing number of knots and links. Zbl 1270.57014 Adams, Colin 26 2013 A linking number definition of the affine index polynomial and applications. Zbl 1320.57009 Folwaczny, Lena C.; Kauffman, Louis H. 25 2013 Detecting non-triviality of virtual links. Zbl 1049.57006 Kadokami, Teruhisa 25 2003 A table of genus two handlebody-knots up to six crossings. Zbl 1236.57015 Ishii, Atsushi; Kishimoto, Kengo; Moriuchi, Hiromasa; Suzuki, Masaaki 25 2012 Geometric knot spaces and polygonal isotopy. Zbl 1001.57024 Calvo, Jorge Alberto 24 2001 Trace fields of twist knots. Zbl 1003.57014 Hoste, Jim; Shanahan, Patrick D. 24 2001 The genus of closed 3-braids. Zbl 0773.57007 Xu, Peijun 24 1992 Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010 Yetter, David N. 24 1992 Singular braids and Markov’s theorem. Zbl 0885.57005 Gemein, Bernd 24 1997 The singular baid monoid embeds in a group. Zbl 0971.57011 Fenn, Roger; Keyman, Ebru; Rourke, Colin 24 1998 The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005 Gelca, Răzvan; Sain, Jeremy 24 2003 Quandle colorings of knots and applications. Zbl 1302.57016 Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy 24 2014 Topological steps toward the Homflypt skein module of the lens spaces \(L(p,1)\) via braids. Zbl 1420.57033 Diamantis, Ioannis; Lambropoulou, Sofia; Przytycki, Jozef H. 24 2016 Vassiliev knot invariants coming from Lie algebras and 4-invariants. Zbl 0998.57034 Soboleva, E. 23 2001 Braids, orderings and zero divisors. Zbl 0928.20031 Rolfsen, Dale; Zhu, Jun 23 1998 Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006 Ohtsuki, Tomotada 23 1993 The planarity problem for signed Gauss words. Zbl 0821.57010 Cairns, Grant; Elton, Daniel M. 23 1993 Lissajous knots. Zbl 0834.57005 Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L. 23 1994 Parity and projection from virtual knots to classical knots. Zbl 1280.57007 Manturov, Vassily Olegovich 23 2013 On the complex volume of hyperbolic knots. Zbl 1226.57025 Yokota, Yoshiyuki 23 2011 On the classification of quandles of low order. Zbl 1333.57026 Vendramin, L. 23 2012 Thistlethwaite’s theorem for virtual links. Zbl 1163.57001 Chmutov, Sergei; Voltz, Jeremy 23 2008 Band surgery on knots and links. Zbl 1213.57011 Kanenobu, Taizo 23 2010 Refined large \(N\) duality for knots. Zbl 1524.57001 Kameyama, Masaya; Nawata, Satoshi 5 2023 Arithmetic Chern-Simons theory with real places. Zbl 1533.11177 Lee, Jungin; Park, Jeehoon 3 2023 The average genus of oriented rational links with a given crossing number. Zbl 1518.57011 Ray, Dawn; Diao, Yuanan 2 2023 Classification of doubly periodic untwisted \((p,q)\)-weaves by their crossing number and matrices. Zbl 1518.57005 Fukuda, Mizuki; Kotani, Motoko; Mahmoudi, Sonia 2 2023 Homology of relative trisection and its applications. Zbl 1521.57018 Tanimoto, Hokuto 2 2023 Quandle coloring quivers of \((p, 3)\)-torus links. Zbl 1518.57014 Zhou, Boxin; Liu, Ximin 2 2023 Characterizing slopes for torus knots. II. Zbl 1518.57017 Ni, Yi; Zhang, Xingru 2 2023 Fundamental heap for framed links and ribbon cocycle invariants. Zbl 1541.57011 Saito, Masahico; Zappala, Emanuele 2 2023 A lower bound on the average genus of a 2-bridge knot. Zbl 07745284 Cohen, Moshe 2 2023 Equivariant annular Khovanov homology. Zbl 1516.57021 Akhmechet, Rostislav 1 2023 A note on closed 3-braid knot shadows. Zbl 1516.57009 Hanaki, Ryo; Nakamura, Masashi 1 2023 A new Garside structure on torus knot groups and some complex braid groups. Zbl 1535.20179 Gobet, Thomas 1 2023 Minimal generating sets of moves for surfaces immersed in the four-space. Zbl 1532.57016 Jabłonowski, Michał 1 2023 A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004 Kellerhals, Ruth 1 2023 Lefschetz open book decompositions of \(4\)-manifolds. Zbl 1525.57008 Ghanwat, Abhijeet; Pandit, Suhas; Selvakumar, A. 1 2023 Knot invariants for rail knotoids. Zbl 1529.57004 Kodokostas, Dimitrios; Lambropoulou, Sofia 1 2023 Canonical sphere bases for simplicial and cubical complexes. Zbl 1528.57020 Kainen, Paul C. 1 2023 Periods of continued fractions and volumes of modular knots complements. Zbl 1541.57024 Rodríguez-Migueles, José Andrés 1 2023 The intersection polynomials of a virtual knot. II: Connected sums. Zbl 1529.57006 Higa, Ryuji; Nakamura, Takuji; Nakanishi, Yasutaka; Satoh, Shin 1 2023 Petal number of torus knots of type \((r, r+2)\). Zbl 1523.57010 Lee, Hwa Jeong; Jin, Gyo Taek 1 2023 Octahedral developing of knot complement. II: Ptolemy coordinates and applications. Zbl 1529.57003 Kim, Hyuk; Kim, Seonhwa; Yoon, Seokbeom 1 2023 \(B\)-type Catalan states of lattice crossing. Zbl 07745278 Dabkowski, Mieczyslaw K.; Rakotomalala, Mihaja 1 2023 Regular projections of the link \(L6n1\). Zbl 1510.57002 Alba, Andrea; Ramírez, Santino; Salazar, Gelasio 1 2023 Unknotting twisted knots with Gauss diagram forbidden moves. Zbl 1516.57017 Xue, Shudan; Deng, Qingying 1 2023 Torus knots obtained by negatively twisting torus knots. Zbl 1487.57010 Lee, Sangyop; de Paiva, Thiago 4 2022 Quandle coloring quivers of \((p,2)\)-torus links. Zbl 1500.57001 Basi, Jagdeep; Caprau, Carmen 3 2022 Ribbonlength of twisted torus knots. Zbl 1504.57008 Kim, Hyoungjun; No, Sungjong; Yoo, Hyungkee 3 2022 An Alexander-type invariant for doodles. Zbl 1515.57013 Cisneros, Bruno; Flores, Marcelo; Juyumaya, Jesús; Roque-Márquez, Christopher 3 2022 Goussarov-Polyak-Viro conjecture for degree three case. Zbl 1505.57017 Ito, Noboru; Kotorii, Yuka; Takamura, Masashi 3 2022 The Rohlin invariant and \(\mathbb{Z}/2\)-valued invariants of homology spheres. Zbl 1498.57018 Riba, Ricard 2 2022 Parity on based matrices. Zbl 1536.57011 Nikonov, Igor 2 2022 The minimum number of coloring of knots. Zbl 1490.57003 Han, Youfa; Zhou, Boxin 2 2022 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 Bicategories for TQFTs with defects with structure. Zbl 1501.57025 Lee, I. J.; Yetter, D. N. 2 2022 Almost all strongly quasipositive braid closures are fibered. Zbl 07619471 Banfield, Ian M. 2 2022 The quantum trace as a quantum non-abelianization map. Zbl 1530.14027 Korinman, J.; Quesney, A. 2 2022 The non-orientable 4-genus for knots with 10 crossings. Zbl 1493.57002 Ghanbarian, Nakisa 2 2022 Peripheral elements in reduced Alexander modules. Zbl 1511.57009 Traldi, Lorenzo 1 2022 Finite involutory quandles of two-bridge links with an axis. Zbl 1496.57007 Mellor, Blake 1 2022 Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012 Nelson, Sam; Zhao, Yuqi 1 2022 On linear resolvability of universal quantum dimensions. Zbl 1502.17011 Avetisyan, M. Y.; Mkrtchyan, R. L. 1 2022 Crosscap number three alternating knots. Zbl 1497.57005 Ito, Noboru; Takimura, Yusuke 1 2022 Maps on random hypergraphs and random simplicial complexes. Zbl 1491.05173 Ren, Shiquan; Wu, Chengyuan; Wu, Jie 1 2022 A Möbius invariant discretization of O’Hara’s Möbius energy. Zbl 1496.57004 Blatt, Simon; Ishizeki, Aya; Nagasawa, Takeyuki 1 2022 Properties of minimal charts and their applications. VIII: Charts of type (7). Zbl 1494.57032 Nagase, Teruo; Shima, Akiko 1 2022 Non-slice 3-stranded pretzel knots. Zbl 1500.57006 Kim, Min Hoon; Lee, Changhee; Song, Minkyoung 1 2022 Virtual index cocycles and invariants of virtual links. Zbl 1495.57009 Nikonov, Igor 1 2022 On universal parity on free two-dimensional knots. Zbl 1511.57016 Nikonov, Igor 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 On long knots in the full torus. Zbl 1487.57008 Kim, Sera; Kim, Seongjeong; Manturov, Vassily O. 1 2022 HOMFLYPT homology over \(\mathbb{Z}_2\) detects unlinks. Zbl 1509.57011 Wu, Hao 1 2022 The complement problem for linklessly embeddable graphs. Zbl 1512.57036 Odeneal, Ryan; Naimi, Ramin; Pavelescu, Andrei; Pavelescu, Elena 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 Big data approaches to knot theory: understanding the structure of the Jones polynomial. Zbl 1537.57011 Levitt, Jesse S. F.; Hajij, Mustafa; Sazdanovic, Radmila 1 2022 Petal number of torus knots using superbridge indices. Zbl 1520.57005 Kim, Hyoungjun; No, Sungjong; Yoo, Hyungkee 1 2022 Structures of homomorphisms induced by arc selection game and arc freeze selection game. Zbl 1512.57006 Kinuno, Rin 1 2022 Families of curly knots. Zbl 1516.57006 Ernst, C.; Gover, S. 1 2022 The embedded homology of hypergraph pairs. Zbl 1515.55010 Ren, Shiquan; Wu, Jie; Zhang, Mengmeng 1 2022 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 Anomaly-free TQFTs from the super Lie algebra \(\mathfrak{sl}(2|1)\). Zbl 1505.57024 Ngoc Phu Ha 1 2022 A diagrammatic approach for determining the braid index of alternating links. Zbl 1472.57003 Diao, Yuanan; Ernst, Claus; Hetyei, Gabor; Liu, Pengyu 7 2021 Torsion in Khovanov homology of homologically thin knots. Zbl 1490.57012 Shumakovitch, Alexander N. 6 2021 Fixing the functoriality of Khovanov homology: a simple approach. Zbl 1536.57019 Sano, Taketo 5 2021 Tied links in various topological settings. 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Zbl 1479.57024 Korablev, Philipp; Tarkaev, Vladimir 1 2021 ...and 1294 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,509 Authors 102 Kauffman, Louis Hirsch 69 Nelson, Sam 62 Manturov, Vassiliĭ Olegovich 50 Kamada, Seiichi 46 Saito, Masahico 45 Elhamdadi, Mohamed 42 Stoimenow, Alexander 38 Przytycki, Józef Henryk 37 Morozov, Alexei Yurievich 36 Diao, Yuanan 36 Garoufalidis, Stavros 35 Bardakov, Valeriĭ Georgievich 35 Ito, Noboru 34 Ito, Tetsuya 34 Mironov, Andrei D. 34 Satoh, Shin 32 Jin, Xian’an 31 Adams, Colin C. 31 Lambropoulou, Sofia S. F. 31 Lee, Sang Youl 30 Kanenobu, Taizo 30 Kawauchi, Akio 30 Oh, Seungsang 29 East, James 28 Carter, J. Scott 28 Ishii, Atsushi 27 Ichihara, Kazuhiro 27 Nakanishi, Yasutaka 27 Silver, Daniel S. 26 Ernst, Claus 26 Kamada, Naoko 26 Tran, Anh Tuan 25 Oshiro, Kanako 25 Patureau-Mirand, Bertrand 25 Williams, Susan G. 25 Yasuhara, Akira 24 Geer, Nathan 24 Morozov, Andreĭ Alekseevich 24 Spaggiari, Fulvia 23 Cavicchioli, Alberto 23 Khovanov, Mikhail G. 23 Le, Thang Tu Quoc 23 Singh, Mahender 23 Traldi, Lorenzo 22 Im, Young Ho 22 Mellor, Blake 22 Orevkov, Stepan Yur’evich 22 Ozawa, Makoto 21 Andersen, Jørgen Ellegaard 20 Bellingeri, Paolo 20 Boden, Hans U. 20 Chbili, Nafaa 20 Mattman, Thomas W. 20 Meilhan, Jean-Baptiste 20 Motegi, Kimihiko 20 Nakamura, Takuji 20 Sazdanović, Radmila 20 Shimizu, Ayaka 20 Vesnin, Andrei Yu. 19 Gukov, Sergei 19 Jeong, Myeong-Ju 19 Teragaito, Masakazu 18 Bae, Yongju 18 Baker, Kenneth L. 18 Cheng, Zhiyun 18 Frohman, Charles D. 18 Guaschi, John 18 Jablan, Slavik Vlado 18 Lee, Hwa Jeong 18 Lei, Fengchun 18 Nikkuni, Ryo 18 Ohyama, Yoshiyuki 18 Purcell, Jessica Shepherd 18 Xue, Kang 17 Cristofori, Paola 17 Dehornoy, Patrick 17 Kim, Jieon 17 Nikonov, Igor Mikhailovich 17 Qi, You 17 Ramadevi, Pichai 16 Blatt, Simon 16 Chrisman, Micah Whitney 16 Dye, Heather Ann 16 Fleming, Thomas R. 16 Jin, Gyo Taek 16 Kofman, Ilya 16 Livingston, Charles 16 Martin, Paul Purdon 16 Reid, Alan W. 16 Shima, Akiko 16 Tubbenhauer, Daniel 16 Vendramin, Leandro 15 Casali, Maria Rita 15 Champanerkar, Abhijit 15 Gonçalves, Daciberg Lima 15 Hikami, Kazuhiro 15 Hoste, Jim 15 Kim, Sera 15 Lauda, Aaron D. 15 Lebed, Victoria ...and 4,409 more Authors all top 5 Cited in 437 Journals 1,600 Journal of Knot Theory and its Ramifications 450 Topology and its Applications 358 Algebraic & Geometric Topology 129 Journal of Algebra 126 Transactions of the American Mathematical Society 122 Journal of High Energy Physics 121 Advances in Mathematics 116 Proceedings of the American Mathematical Society 98 Communications in Mathematical Physics 93 Geometry & Topology 91 Journal of Pure and Applied Algebra 78 Osaka Journal of Mathematics 74 Quantum Topology 72 International Journal of Mathematics 60 Geometriae Dedicata 56 Journal of Mathematical Physics 53 Communications in Algebra 53 Mathematical Proceedings of the Cambridge Philosophical Society 48 Nuclear Physics. 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English Series 12 Involve 12 European Journal of Mathematics 11 Groups, Geometry, and Dynamics 10 Physics Letters. B 10 Canadian Journal of Mathematics 10 Proceedings of the Edinburgh Mathematical Society. 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