Journal of Knot Theory and its Ramifications Short Title: J. Knot Theory Ramifications Publisher: World Scientific, Singapore ISSN: 0218-2165; 1793-6527/e Online: https://www.worldscientific.com/loi/jktr Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,743 Publications (since 1992) References Indexed: 2,395 Publications with 35,222 References. all top 5 Latest Issues 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) 26, No. 5 (2017) 26, No. 4 (2017) 26, No. 3 (2017) 26, No. 2 (2017) 26, No. 1 (2017) 25, No. 14 (2016) 25, No. 13 (2016) ...and 226 more Volumes all top 5 Authors 73 Kauffman, Louis Hirsch 49 Manturov, Vassiliĭ Olegovich 39 Nelson, Sam 27 Przytycki, Józef Henryk 26 Nakanishi, Yasutaka 25 Lee, Sang Youl 24 Lambropoulou, Sofia S. F. 24 Saito, Masahico 23 Diao, Yuanan 23 Kawauchi, Akio 23 Silver, Daniel S. 22 Kanenobu, Taizo 21 Kamada, Seiichi 21 Williams, Susan G. 20 Ernst, Claus 20 Jin, Gyo Taek 19 Bae, Yongju 19 Ohyama, Yoshiyuki 17 Hoste, Jim 17 Oh, Seungsang 17 Taniyama, Kouki 16 Adams, Colin C. 16 Im, Young Ho 16 Jablan, Slavik Vlado 16 Jeong, Myeong-Ju 16 Satoh, Shin 16 Traldi, Lorenzo 15 Mellor, Blake 15 Sazdanović, Radmila 15 Teragaito, Masakazu 14 Carter, J. Scott 14 Hillman, Jonathan Arthur 14 Ogasa, Eiji 14 Ozawa, Makoto 14 Shimizu, Ayaka 14 Yetter, David N. 13 Ito, Noboru 13 Kamada, Naoko 13 Lei, Fengchun 13 Nakamura, Takuji 12 Bardakov, Valeriĭ Georgievich 12 Cheng, Zhiyun 12 Elhamdadi, Mohamed 12 Jin, Xian’an 12 Kadokami, Teruhisa 12 Lee, Hwa Jeong 12 Lee, Sangyop 12 Montesinos-Amilibia, José María 11 Dye, Heather Ann 11 Hayashi, Chuichiro 11 Kim, Sera 11 Lee, Junghoon 11 Lopes, Pedro 11 Miyazawa, Yasuyuki 11 Nikkuni, Ryo 11 Nikonov, Igor Mikhailovich 11 Shanahan, Patrick D. 11 Tran, Anh Tuan 11 Yang, Zhiqing 10 Dabkowski, Mieczysław K. 10 Huh, Youngsik 10 Kim, Jieon 10 Kim, Seongjeong 10 Morton, Hugh R. 10 Takioka, Hideo 10 Vesnin, Andrei Yu. 9 Birman, Joan S. 9 Chrisman, Micah Whitney 9 Fenn, Roger A. 9 Henrich, Allison K. 9 Horiuchi, Sumiko 9 Ichihara, Kazuhiro 9 Kim, Joonoh 9 Lee, Kyeonghui 9 Lozano, María Teresa 9 No, Sungjong 9 Shibuya, Tetsuo 9 Tsukamoto, Tatsuya 9 Yasuhara, Akira 8 Bar-Natan, Dror 8 Bartholomew, Andrew 8 Caprau, Carmen Livia 8 Chmutov, Sergei V. 8 Frohman, Charles D. 8 Garoufalidis, Stavros 8 Gordon, Cameron McA. 8 Hilden, Hugh Michael 8 Hsieh, Chun-Chung 8 Ito, Tetsuya 8 Janse van Rensburg, Esaias J. 8 Kalfagianni, Efstratia 8 Kwon, Bo-Hyun 8 Millett, Kenneth C. 8 Mishra, Rama 8 Park, Chan-Young 8 Seo, Myoungsoo 8 Shima, Akiko 8 Stoimenow, Alexander 8 Tanaka, Toshifumi 7 Bellingeri, Paolo ...and 2,027 more Authors all top 5 Fields 2,630 Manifolds and cell complexes (57-XX) 282 Group theory and generalizations (20-XX) 185 Combinatorics (05-XX) 87 Quantum theory (81-XX) 71 Algebraic topology (55-XX) 59 Differential geometry (53-XX) 56 Nonassociative rings and algebras (17-XX) 52 Associative rings and algebras (16-XX) 45 Category theory; homological algebra (18-XX) 41 Algebraic geometry (14-XX) 31 Biology and other natural sciences (92-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 General and overarching topics; collections (00-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Number theory (11-XX) 26 Computer science (68-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 History and biography (01-XX) 15 Probability theory and stochastic processes (60-XX) 14 Geometry (51-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Convex and discrete geometry (52-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Commutative algebra (13-XX) 7 Functional analysis (46-XX) 7 General topology (54-XX) 6 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 4 General algebraic systems (08-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,997 Publications have been cited 12,549 times in 6,099 Documents Cited by ▼ Year ▼ Racks and links in codimension two. Zbl 0787.57003 Fenn, Roger; Rourke, Colin 221 1992 Abstract link diagrams and virtual knots. Zbl 0997.57018 Kamada, Naoko; Kamada, Seiichi 143 2000 Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007 Carter, J. Scott; Kamada, Seiichi; Saito, Masahico 140 2002 Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002 Martin, Paul 108 1994 BPS spectra and 3-manifold invariants. Zbl 1448.57020 Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun 80 2020 Fast Khovanov homology computations. Zbl 1234.57013 Bar-Natan, Dror 74 2007 Two-dimensional topological quantum field theories and Frobenius algebras. Zbl 0897.57015 Abrams, Lowell 73 1996 On the invariants of torus knots derived from quantum groups. Zbl 0787.57006 Rosso, Marc; Jones, Vaughan 72 1993 Geometric interpretations of quandle homology. Zbl 1002.57019 Carter, J. Scott; Kamada, Seiichi; Saito, Masahico 66 2001 Virtual crossing number and the arrow polynomial. Zbl 1195.57028 Dye, H. A.; Kauffman, Louis H. 63 2009 A sequence of degree one Vassiliev invariants for virtual knots. Zbl 1195.57030 Henrich, Allison 59 2010 Notions of positivity and the Ozsváth-Szabó concordance invariant. Zbl 1195.57029 Hedden, Matthew 59 2010 The skein method for three-manifold invariants. Zbl 0793.57003 Lickorish, W. B. R. 57 1993 Surfaces in \(R^ 4\) of braid index three are ribbon. Zbl 0763.57013 Kamada, Seiichi 51 1992 Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016 Nelson, Sam 51 2001 Virtual knot presentation of ribbon torus-knots. Zbl 0997.57037 Satoh, Shin 51 2000 Alexander groups and virtual links. Zbl 0997.57019 Silver, Daniel S.; Williams, Susan G. 50 2001 An affine index polynomial invariant of virtual knots. Zbl 1271.57040 Kauffman, Louis H. 50 2013 Perturbative Chern-Simons theory. Zbl 0861.57009 Bar-Natan, Dror 49 1995 State-sum invariants of 4-manifolds. Zbl 0883.57021 Crane, Louis; Kauffman, Louis H.; Yetter, David N. 47 1997 Invariants of colored links. Zbl 0758.57004 Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada 46 1992 Categorifications of the colored Jones polynomial. Zbl 1083.57019 Khovanov, Mikhail 45 2005 Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots. Zbl 1148.57011 Shumakovitch, Alexander N. 44 2007 Forbidden moves unknot a virtual knot. Zbl 0997.57015 Kanenobu, Taizo 44 2001 On homology of virtual braids and Burau representation. Zbl 0997.57020 Vershinin, Vladimir V. 44 2001 Vassiliev homotopy string link invariants. Zbl 0878.57003 Bar-Natan, Dror 43 1995 A formula for the A-polynomial of twist knots. Zbl 1057.57010 Hoste, Jim; Shanahan, Patrick D. 43 2004 Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007 Kauffman, Louis H.; Radford, David E. 42 1995 Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034 Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan 42 2006 Link polynomials and a graphical calculus. Zbl 0795.57001 Kauffman, Louis H.; Vogel, Pierre 42 1992 A polynomial invariant of virtual links. Zbl 1284.57005 Cheng, Zhiyun; Gao, Hongzhu 42 2013 Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020 Carter, J. Scott; Saito, Masahico 40 1993 Introduction to virtual knot theory. Zbl 1255.57005 Kauffman, Louis H. 39 2012 The \((2,\infty)\)-skein module of lens spaces; a generalization of the Jones polynomial. Zbl 0796.57005 Hoste, Jim; Przytycki, Józef H. 38 1993 Understanding the Kauffman bracket skein module. Zbl 0932.57015 Bullock, Doug; Frohman, Charles; Kania-Bartoszyńska, Joanna 37 1999 Virtual braids and the \(L\)-move. Zbl 1105.57002 Kauffman, Louis H.; Lambropoulou, Sofia 37 2006 Finite type invariants of integral homology 3-spheres. Zbl 0942.57009 Ohtsuki, Tomotada 36 1996 A note on non-classical virtual knots. Zbl 1094.57012 Kishino, Toshimasa; Satoh, Shin 36 2004 A survey on Heegaard Floer homology and concordance. Zbl 1360.57002 Hom, Jennifer 36 2017 An invariant for singular knots. Zbl 1188.57010 Juyumaya, J.; Lambropoulou, S. 35 2009 A multi-variable polynomial invariant for virtual knots and links. Zbl 1171.57006 Miyazawa, Yasuyuki 35 2008 Index polynomial invariant of virtual links. Zbl 1201.57005 Im, Young Ho; Lee, Kyeonghui; Lee, Sang Youl 34 2010 Extensions of quandles and cocycle knot invariants. Zbl 1049.57008 Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico 34 2003 Enumeration of chord diagrams and an upper bound for Vassiliev invariants. Zbl 0892.57003 Stoimenow, A. 33 1998 Colored HOMFLY polynomials from Chern-Simons theory. Zbl 1296.57015 Nawata, Satoshi; Ramadevi, P.; Zodinmawia 33 2013 Knot theory related to generalized and cyclotomic Hecke algebras of type \({\mathcal B}\). Zbl 0933.57007 Lambropoulou, Sofia 32 1999 Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005 Aiston, A. K.; Morton, H. R. 32 1998 Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017 Khovanov, Mikhail 32 2016 On the Casson knot invariant. Zbl 0997.57021 Polyak, Michael; Viro, Oleg 32 2001 Minimal knotted polygons on the cubic lattice. Zbl 0797.57004 Diao, Yuanan 31 1993 Distinguishing mutants by knot polynomials. Zbl 0866.57002 Morton, Hugh R.; Cromwell, Peter R. 31 1996 Quaternionic invariants of virtual knots and links. Zbl 1149.57301 Bartholomew, Andrew; Fenn, Roger 31 2008 Invariants of knot diagrams and relations among Reidemeister moves. Zbl 0998.57021 Östlund, Olof-Petter 31 2001 Magnetic graphs and an invariant for virtual links. Zbl 1116.57008 Miyazawa, Yasuyuki 30 2006 An oriented model for Khovanov homology. Zbl 1195.57024 Blanchet, Christian 30 2010 Remarks on the \(A\)-polynomial of a knot. Zbl 0890.57012 Cooper, D.; Long, D. D. 29 1996 Boundedness and regularizing effects of O’Hara’s knot energies. Zbl 1238.57007 Blatt, Simon 29 2012 On a calculus for 2-knots and surfaces in 4-space. Zbl 1001.57044 Swenton, Frank J. 29 2001 A new point of view in the theory of knot and link invariants. Zbl 1002.57026 Labastida, José M. F.; Mariño, Marcos 29 2002 The simplest hyperbolic knots. Zbl 0933.57010 Callahan, Patrick J.; Dean, John C.; Weeks, Jeffrey R. 28 1999 TQFT’s from homotopy 2-types. Zbl 0787.57002 Yetter, David N. 28 1993 Calculating Bar-Natan’s characteristic two Khovanov homology. Zbl 1114.57015 Turner, Paul R. 27 2006 Generalized Temperley-Lieb algebras and decorated tangles. Zbl 0926.20005 Green, R. M. 27 1998 Markov theorem for transversal links. Zbl 1046.57007 Orevkov, S. Yu.; Shevchishin, V. V. 27 2003 Stick numbers and composition of knots and links. Zbl 0884.57005 Adams, Colin C.; Brennan, Bevin M.; Greilsheimer, Deborah L.; Woo, Alexander K. 27 1997 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 27 2017 On the arithmetic 2-bridge knots and link orbifolds and a new knot invariant. Zbl 0844.57006 Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, Jose Maria 26 1995 The knotting of equilateral polygons in \(\mathbb{R}^ 3\). Zbl 0846.57004 Diao, Yuanan 26 1995 Gauss’ linking number revisited. Zbl 1230.57009 Ricca, Renzo L.; Nipoti, Bernardo 26 2011 Markov trace on the Yokonuma-Hecke algebra. Zbl 1100.20008 Juyumaya, J. 26 2004 Generalized spin models. Zbl 0842.57010 Kawagoe, Kenichi; Munemasa, Akihiro; Watatani, Yasuo 26 1994 Polygon indices and superbridge indices of torus knots and links. Zbl 0881.57002 Jin, Gyo Taek 26 1997 The Gordian complex of knots. Zbl 1004.57008 Hirasawa, Mikami; Uchida, Yoshiaki 26 2002 Detecting non-triviality of virtual links. Zbl 1049.57006 Kadokami, Teruhisa 25 2003 On random knots. Zbl 0846.57003 Diao, Yuanan; Pippenger, Nicholas; Sumners, De Witt 25 1994 Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks. Zbl 1443.16040 Bachiller, David 25 2018 A table of genus two handlebody-knots up to six crossings. Zbl 1236.57015 Ishii, Atsushi; Kishimoto, Kengo; Moriuchi, Hiromasa; Suzuki, Masaaki 24 2012 Quandle colorings of knots and applications. Zbl 1302.57016 Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy 24 2014 Geometric knot spaces and polygonal isotopy. Zbl 1001.57024 Calvo, Jorge Alberto 24 2001 Kauffman monoids. Zbl 1025.57015 Borisavljević, Mirjana; Došen, Kosta; Petrić, Zoran 24 2002 Triple crossing number of knots and links. Zbl 1270.57014 Adams, Colin 24 2013 Quantum groups at roots of unity and modularity. Zbl 1117.17006 Sawin, Stephen F. 23 2006 The genus of closed 3-braids. Zbl 0773.57007 Xu, Peijun 23 1992 Topological quantum field theories associated to finite groups and crossed \(G\)-sets. Zbl 0770.57010 Yetter, David N. 23 1992 Colored ribbon Hopf algebras and universal invariants of framed links. Zbl 0798.57006 Ohtsuki, Tomotada 23 1993 The planarity problem for signed Gauss words. Zbl 0821.57010 Cairns, Grant; Elton, Daniel M. 23 1993 The noncommutative A-ideal of a \((2,2p+1)\)-torus knot determines its Jones polynomial. Zbl 1034.57005 Gelca, Răzvan; Sain, Jeremy 23 2003 Trace fields of twist knots. Zbl 1003.57014 Hoste, Jim; Shanahan, Patrick D. 23 2001 A linking number definition of the affine index polynomial and applications. Zbl 1320.57009 Folwaczny, Lena C.; Kauffman, Louis H. 23 2013 On the complex volume of hyperbolic knots. Zbl 1226.57025 Yokota, Yoshiyuki 22 2011 Band surgery on knots and links. Zbl 1213.57011 Kanenobu, Taizo 22 2010 Singular braids and Markov’s theorem. Zbl 0885.57005 Gemein, Bernd 22 1997 The singular baid monoid embeds in a group. Zbl 0971.57011 Fenn, Roger; Keyman, Ebru; Rourke, Colin 22 1998 Braids, orderings and zero divisors. Zbl 0928.20031 Rolfsen, Dale; Zhu, Jun 22 1998 An extended bracket polynomial for virtual knots and links. Zbl 1192.57006 Kauffman, Louis H. 22 2009 Thistlethwaite’s theorem for virtual links. Zbl 1163.57001 Chmutov, Sergei; Voltz, Jeremy 22 2008 On the classification of quandles of low order. Zbl 1333.57026 Vendramin, L. 22 2012 Topological steps toward the Homflypt skein module of the lens spaces \(L(p,1)\) via braids. Zbl 1420.57033 Diamantis, Ioannis; Lambropoulou, Sofia; Przytycki, Jozef H. 22 2016 Topological properties of cyclically presented groups. Zbl 1031.57002 Cavicchioli, Alberto; Repovš, Dušan; Spaggiari, Fulvia 22 2003 Vassiliev knot invariants coming from Lie algebras and 4-invariants. Zbl 0998.57034 Soboleva, E. 22 2001 Refined large \(N\) duality for knots. Zbl 1524.57001 Kameyama, Masaya; Nawata, Satoshi 5 2023 Arithmetic Chern-Simons theory with real places. Zbl 07685364 Lee, Jungin; Park, Jeehoon 3 2023 Periods of continued fractions and volumes of modular knots complements. Zbl 07774959 Rodríguez-Migueles, José Andrés 1 2023 Equivariant annular Khovanov homology. Zbl 1516.57021 Akhmechet, Rostislav 1 2023 The average genus of oriented rational links with a given crossing number. Zbl 1518.57011 Ray, Dawn; Diao, Yuanan 1 2023 Homology of relative trisection and its applications. Zbl 1521.57018 Tanimoto, Hokuto 1 2023 Fundamental heap for framed links and ribbon cocycle invariants. Zbl 07694981 Saito, Masahico; Zappala, Emanuele 1 2023 Torus knots obtained by negatively twisting torus knots. Zbl 1487.57010 Lee, Sangyop; de Paiva, Thiago 4 2022 Ribbonlength of twisted torus knots. Zbl 1504.57008 Kim, Hyoungjun; No, Sungjong; Yoo, Hyungkee 3 2022 Bicategories for TQFTs with defects with structure. Zbl 1501.57025 Lee, I. J.; Yetter, D. N. 2 2022 Parity on based matrices. Zbl 07527792 Nikonov, Igor 2 2022 All prime knots through 10 crossings have superbridge index \(\leq 5\). Zbl 1494.57011 Shonkwiler, Clayton 2 2022 Hyperbolicity of augmented links in the thickened torus. Zbl 1522.57015 Kwon, Alice; Tham, Ying Hong 2 2022 The non-orientable 4-genus for knots with 10 crossings. Zbl 1493.57002 Ghanbarian, Nakisa 2 2022 The quantum trace as a quantum non-abelianization map. Zbl 07566140 Korinman, J.; Quesney, A. 2 2022 On long knots in the full torus. Zbl 1487.57008 Kim, Sera; Kim, Seongjeong; Manturov, Vassily O. 1 2022 Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012 Nelson, Sam; Zhao, Yuqi 1 2022 The minimum number of coloring of knots. Zbl 1490.57003 Han, Youfa; Zhou, Boxin 1 2022 On linear resolvability of universal quantum dimensions. Zbl 1502.17011 Avetisyan, M. Y.; Mkrtchyan, R. L. 1 2022 Maps on random hypergraphs and random simplicial complexes. Zbl 1491.05173 Ren, Shiquan; Wu, Chengyuan; Wu, Jie 1 2022 A Möbius invariant discretization of O’Hara’s Möbius energy. Zbl 1496.57004 Blatt, Simon; Ishizeki, Aya; Nagasawa, Takeyuki 1 2022 Properties of minimal charts and their applications. VIII: Charts of type (7). Zbl 1494.57032 Nagase, Teruo; Shima, Akiko 1 2022 Non-slice 3-stranded pretzel knots. Zbl 1500.57006 Kim, Min Hoon; Lee, Changhee; Song, Minkyoung 1 2022 Crosscap number three alternating knots. Zbl 1497.57005 Ito, Noboru; Takimura, Yusuke 1 2022 Almost all strongly quasipositive braid closures are fibered. Zbl 07619471 Banfield, Ian M. 1 2022 Reducible surgery in lens spaces and seiferters. Zbl 1510.57004 Gainullin, Fyodor 1 2022 The smooth 4-genus of (the rest of) the prime knots through 12 crossings. Zbl 1505.57005 Brittenham, Mark; Hermiller, Susan 1 2022 An Alexander-type invariant for doodles. Zbl 1515.57013 Cisneros, Bruno; Flores, Marcelo; Juyumaya, Jesús; Roque-Márquez, Christopher 1 2022 Goussarov-Polyak-Viro conjecture for degree three case. Zbl 1505.57017 Ito, Noboru; Kotorii, Yuka; Takamura, Masashi 1 2022 Twisted cohomology pairings of knots. II: To some Blanchfield pairings. Zbl 1497.57007 Nosaka, T. 1 2022 Twist moves and the affine index polynomials of virtual knots. Zbl 1501.57004 Jeong, Myeong-Ju; Choi, Younhee; Kim, Dojin 1 2022 The Rohlin invariant and \(\mathbb{Z}/2\)-valued invariants of homology spheres. Zbl 1498.57018 Riba, Ricard 1 2022 Quandle coloring quivers of \((p,2)\)-torus links. Zbl 1500.57001 Basi, Jagdeep; Caprau, Carmen 1 2022 Peripheral elements in reduced Alexander modules. Zbl 1511.57009 Traldi, Lorenzo 1 2022 On universal parity on free two-dimensional knots. Zbl 1511.57016 Nikonov, Igor 1 2022 Families of curly knots. Zbl 1516.57006 Ernst, C.; Gover, S. 1 2022 The embedded homology of hypergraph pairs. Zbl 1515.55010 Ren, Shiquan; Wu, Jie; Zhang, Mengmeng 1 2022 2-knot homology and Roseman move. Zbl 1496.57023 Matsuda, Hiroshi 1 2022 Parity functors. Zbl 1501.57006 Nikonov, Igor 1 2022 Alternating odd pretzel knots and chirally cosmetic surgeries. Zbl 1503.57004 Varvarezos, Konstantinos 1 2022 Torsion in Khovanov homology of homologically thin knots. Zbl 1490.57012 Shumakovitch, Alexander N. 5 2021 Fixing the functoriality of Khovanov homology: a simple approach. Zbl 07478463 Sano, Taketo 5 2021 A diagrammatic approach for determining the braid index of alternating links. Zbl 1472.57003 Diao, Yuanan; Ernst, Claus; Hetyei, Gabor; Liu, Pengyu 5 2021 Tied links in various topological settings. Zbl 1487.57004 Diamantis, Ioannis 4 2021 Polynomial invariants of singular knots and links. Zbl 1464.57009 Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed 4 2021 On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere. Zbl 1490.57018 Bakshi, Rhea Palak; Mukherjee, Sujoy; Przytycki, Józef H.; Silvero, Marithania; Wang, Xiao 3 2021 Symmetric union presentations for 2-bridge ribbon knots. Zbl 1486.57011 Lamm, Christoph 3 2021 Ribbonlength and crossing number for folded ribbon knots. Zbl 1470.57007 Denne, Elizabeth 3 2021 The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. Zbl 1470.57023 Lovejoy, Jeremy; Osburn, Robert 3 2021 Arrow diagrams on spherical curves and computations. Zbl 1476.57009 Ito, Noboru; Takamura, Masashi 2 2021 On the virtual singular braid monoid. Zbl 1526.57007 Caprau, Carmen; Zepeda, Sarah 2 2021 Tied links in the solid torus. Zbl 1462.57004 Flores, Marcelo 2 2021 On two-bridge knots and a conjecture of Hirasawa-Murasugi. Zbl 1469.57005 Chen, Wenzhao 2 2021 Superbridge and bridge indices for knots. Zbl 1466.57002 Adams, Colin; Agarwal, Nikhil; Allen, Rachel; Khandhawit, Tirasan; Simons, Alex; Winarski, Rebecca; Wootters, Mary 2 2021 Twisted torus knots \(T(mn+m+1,mn+1,mn+m+2,-1)\) and \(T(n+1,n,2n-1,-1)\) are torus knots. Zbl 1467.57005 Lee, Sangyop 2 2021 Decompositions of the \(3\)-sphere and lens spaces with three handlebodies. Zbl 1483.57005 Ito, Yasuyoshi; Ogawa, Masaki 2 2021 A diagrammatic presentation and its characterization of non-split compact surfaces in the \(3\)-sphere. Zbl 1481.57011 Matsuzaki, Shosaku 2 2021 Knots with equal bridge index and braid index. Zbl 07478464 Diao, Yuanan; Ernst, Claus; Reiter, Philipp 2 2021 Parity, virtual closure and minimality of knotoids. Zbl 1491.57011 Gügümcü, N.; Kauffman, L. H. 2 2021 The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams. Zbl 1486.57006 Cohen, Moshe 2 2021 Thesaurus racks: categorizing rack objects. Zbl 1471.18007 Grøsfjeld, Tobias 2 2021 Vertex distortion of lattice knots. Zbl 1487.57003 Campisi, Marion; Cazet, Nicholas 1 2021 Linking numbers, quandles and groups. Zbl 1514.57015 Traldi, Lorenzo 1 2021 Diquandles and invariants for oriented dichromatic links. Zbl 1483.57010 Lee, Sang Youl; Sheikh, Mohd Ibrahim 1 2021 The knot invariant \(\Upsilon\) using grid homologies. Zbl 1480.57013 Földvári, Viktória 1 2021 On arrow polynomials of checkerboard colorable virtual links. Zbl 1479.57028 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 1 2021 On the potential functions for a link diagram. Zbl 1486.57015 Yoon, Seokbeom 1 2021 Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces. Zbl 1484.57007 Kauffman, Louis H.; Nikonov, Igor Mikhailovich; Ogasa, Eiji 1 2021 Determining the doubly slice genera of prime knots with up to \(12\) crossings. Zbl 1479.57014 Karageorghis, Lucia P.; Swenton, Frank 1 2021 On equivalence of symmetric union presentations for ribbon knots. Zbl 1483.57009 Tanaka, Toshifumi 1 2021 Writhe-like invariants of alternating links. Zbl 1464.57001 Diao, Yuanan; Pham, Van 1 2021 Quandle coloring quivers of links using dihedral quandles. Zbl 1468.57007 Taniguchi, Yuta 1 2021 Unknotting operations on knots and links*. Zbl 1467.57007 Shimizu, Ayaka 1 2021 The reduced Dijkgraaf-Witten invariant of twist knots in the Bloch group of a finite field. Zbl 1478.57006 Karuo, Hiroaki 1 2021 Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions. Zbl 1467.57015 Oshiro, Kanako; Oyamaguchi, Natsumi 1 2021 Verification of the Jones unknot conjecture up to 24 crossings. Zbl 1466.57006 Tuzun, Robert E.; Sikora, Adam S. 1 2021 Group presentations for links in thickened surfaces. 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Zbl 1482.52016 Abrosimov, Nikolay; Vuong, Bao 1 2021 Singquandles, psyquandles, and singular knots: a survey. Zbl 1486.57016 Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed; Hajij, Mustafa 1 2021 Coefficients of Catalan states without nesting and maximal number of returns. Zbl 1494.57027 Dabkowski, M. K.; Merrill, A. D. 1 2021 Integral geometric orbifolds. Zbl 1521.57022 Lozano, María Teresa; Montesinos-Amilibia, José María 1 2021 The second Yang-Baxter homology for the HOMFLYPT polynomial. Zbl 1490.57011 Przytycki, Józef H.; Wang, Xiao 1 2021 Multiflypes of rectangular diagrams of links. Zbl 1473.57011 Dynnikov, Ivan; Sokolova, Vera 1 2021 A relation between the crossing number and the height of a knotoid. Zbl 1479.57024 Korablev, Philipp; Tarkaev, Vladimir 1 2021 A free-group valued invariant of free knots. 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Zbl 1508.20040 Bellingeri, Paolo; Soulié, Arthur 6 2020 ...and 1259 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,213 Authors 97 Kauffman, Louis Hirsch 67 Nelson, Sam 60 Manturov, Vassiliĭ Olegovich 49 Kamada, Seiichi 44 Saito, Masahico 43 Elhamdadi, Mohamed 41 Stoimenow, Alexander 37 Przytycki, Józef Henryk 35 Morozov, Alexei Yurievich 34 Bardakov, Valeriĭ Georgievich 34 Diao, Yuanan 34 Garoufalidis, Stavros 34 Ito, Tetsuya 33 Ito, Noboru 33 Satoh, Shin 31 Lambropoulou, Sofia S. F. 30 Adams, Colin C. 30 Kawauchi, Akio 30 Lee, Sang Youl 30 Mironov, Andrei D. 30 Oh, Seungsang 29 Jin, Xian’an 29 Kanenobu, Taizo 28 Carter, J. Scott 27 East, James 26 Ishii, Atsushi 26 Kamada, Naoko 26 Nakanishi, Yasutaka 26 Silver, Daniel S. 25 Patureau-Mirand, Bertrand 25 Tran, Anh Tuan 25 Yasuhara, Akira 24 Geer, Nathan 24 Ichihara, Kazuhiro 24 Spaggiari, Fulvia 24 Williams, Susan G. 23 Cavicchioli, Alberto 23 Ernst, Claus 23 Le, Thang Tu Quoc 23 Oshiro, Kanako 22 Im, Young Ho 22 Khovanov, Mikhail G. 22 Ozawa, Makoto 22 Traldi, Lorenzo 21 Mellor, Blake 21 Morozov, Andreĭ Alekseevich 21 Orevkov, Stepan Yur’evich 20 Andersen, Jørgen Ellegaard 20 Bellingeri, Paolo 20 Boden, Hans U. 20 Chbili, Nafaa 20 Sazdanović, Radmila 20 Singh, Mahender 19 Gukov, Sergei 19 Jeong, Myeong-Ju 19 Mattman, Thomas W. 19 Meilhan, Jean-Baptiste 19 Motegi, Kimihiko 19 Shimizu, Ayaka 19 Teragaito, Masakazu 19 Vesnin, Andrei Yu. 18 Cheng, Zhiyun 18 Frohman, Charles D. 18 Guaschi, John 18 Jablan, Slavik Vlado 18 Lee, Hwa Jeong 18 Nakamura, Takuji 18 Nikkuni, Ryo 18 Ohyama, Yoshiyuki 17 Bae, Yongju 17 Cristofori, Paola 17 Lei, Fengchun 17 Purcell, Jessica Shepherd 17 Qi, You 17 Xue, Kang 16 Baker, Kenneth L. 16 Blatt, Simon 16 Chrisman, Micah Whitney 16 Dehornoy, Patrick 16 Dye, Heather Ann 16 Fleming, Thomas R. 16 Jin, Gyo Taek 16 Kofman, Ilya 16 Livingston, Charles 16 Martin, Paul Purdon 16 Nikonov, Igor Mikhailovich 16 Reid, Alan W. 16 Shima, Akiko 15 Casali, Maria Rita 15 Champanerkar, Abhijit 15 Gonçalves, Daciberg Lima 15 Hoste, Jim 15 Kalfagianni, Efstratia 15 Kim, Sera 15 Lauda, Aaron D. 15 Lebed, Victoria 15 Lopes, Pedro 15 Nosaka, Takefumi 15 Ramadevi, Pichai 15 Reiter, Philipp ...and 4,113 more Authors all top 5 Cited in 422 Journals 1,578 Journal of Knot Theory and its Ramifications 442 Topology and its Applications 344 Algebraic & Geometric Topology 124 Journal of Algebra 123 Transactions of the American Mathematical Society 119 Advances in Mathematics 116 Journal of High Energy Physics 114 Proceedings of the American Mathematical Society 98 Communications in Mathematical Physics 90 Geometry & Topology 88 Journal of Pure and Applied Algebra 77 Osaka Journal of Mathematics 71 Quantum Topology 67 International Journal of Mathematics 59 Geometriae Dedicata 56 Journal of Mathematical Physics 53 Mathematical Proceedings of the Cambridge Philosophical Society 50 Communications in Algebra 43 Mathematische Zeitschrift 39 Journal of Physics A: Mathematical and Theoretical 37 Nuclear Physics. B 37 Journal of Geometry and Physics 36 Journal of the Mathematical Society of Japan 35 European Journal of Combinatorics 35 Experimental Mathematics 34 Tokyo Journal of Mathematics 33 Mathematische Annalen 33 Journal of Mathematical Sciences (New York) 32 Letters in Mathematical Physics 32 Pacific Journal of Mathematics 29 Journal of Topology 27 Journal of Algebraic Combinatorics 26 Discrete Mathematics 26 Selecta Mathematica. New Series 25 International Journal of Algebra and Computation 25 Journal of Algebra and its Applications 24 Journal of Combinatorial Theory. Series A 23 Inventiones Mathematicae 23 Quantum Information Processing 22 Fundamenta Mathematicae 22 Journal of the London Mathematical Society. Second Series 22 Michigan Mathematical Journal 21 Bulletin of the London Mathematical Society 21 Duke Mathematical Journal 20 Advances in Applied Mathematics 20 The New York Journal of Mathematics 19 The Electronic Journal of Combinatorics 19 Communications in Contemporary Mathematics 18 Annales de l’Institut Fourier 18 Algebras and Representation Theory 18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 17 Chaos, Solitons and Fractals 17 Forum Mathematicum 17 Mediterranean Journal of Mathematics 16 Israel Journal of Mathematics 16 Acta Mathematica Vietnamica 15 Discrete & Computational Geometry 15 Bulletin of the American Mathematical Society. New Series 15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 15 Boletín de la Sociedad Matemática Mexicana. Third Series 15 Winter Braids Lecture Notes 14 International Journal of Modern Physics A 14 Siberian Mathematical Journal 14 Annales Henri Poincaré 14 Journal of the Australian Mathematical Society 14 Proceedings of the Steklov Institute of Mathematics 13 Bulletin of the Australian Mathematical Society 13 Manuscripta Mathematica 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal of Topology and Analysis 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Glasgow Mathematical Journal 12 Acta Mathematica Sinica. English Series 12 Involve 11 Theoretical and Mathematical Physics 11 Compositio Mathematica 11 Indiana University Mathematics Journal 11 Journal für die Reine und Angewandte Mathematik 11 Journal of the European Mathematical Society (JEMS) 10 Journal of Graph Theory 10 Kyungpook Mathematical Journal 10 Journal of Symbolic Computation 10 Groups, Geometry, and Dynamics 9 Discrete Applied Mathematics 9 Journal of Statistical Physics 9 Mathematical Notes 9 Reviews in Mathematical Physics 9 Canadian Mathematical Bulletin 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Semigroup Forum 9 Applied Categorical Structures 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 9 Research in the Mathematical Sciences 9 Arnold Mathematical Journal 9 European Journal of Mathematics 8 Applied Mathematics and Computation 8 Journal of Combinatorial Theory. Series B 8 Memoirs of the American Mathematical Society 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Mathematical Chemistry ...and 322 more Journals all top 5 Cited in 60 Fields 4,707 Manifolds and cell complexes (57-XX) 1,007 Group theory and generalizations (20-XX) 606 Quantum theory (81-XX) 572 Combinatorics (05-XX) 395 Associative rings and algebras (16-XX) 318 Nonassociative rings and algebras (17-XX) 312 Category theory; homological algebra (18-XX) 260 Differential geometry (53-XX) 243 Algebraic geometry (14-XX) 229 Algebraic topology (55-XX) 167 Global analysis, analysis on manifolds (58-XX) 126 Number theory (11-XX) 122 Dynamical systems and ergodic theory (37-XX) 110 Computer science (68-XX) 91 Relativity and gravitational theory (83-XX) 85 Several complex variables and analytic spaces (32-XX) 84 Statistical mechanics, structure of matter (82-XX) 81 Functional analysis (46-XX) 76 Biology and other natural sciences (92-XX) 65 Order, lattices, ordered algebraic structures (06-XX) 56 Probability theory and stochastic processes (60-XX) 50 Commutative algebra (13-XX) 50 Convex and discrete geometry (52-XX) 43 Topological groups, Lie groups (22-XX) 43 Geometry (51-XX) 41 Functions of a complex variable (30-XX) 35 Special functions (33-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 30 General algebraic systems (08-XX) 24 Partial differential equations (35-XX) 24 General topology (54-XX) 24 Numerical analysis (65-XX) 21 History and biography (01-XX) 20 General and overarching topics; collections (00-XX) 20 Mathematical logic and foundations (03-XX) 20 \(K\)-theory (19-XX) 18 Fluid mechanics (76-XX) 16 Field theory and polynomials (12-XX) 15 Statistics (62-XX) 14 Mechanics of deformable solids (74-XX) 14 Information and communication theory, circuits (94-XX) 13 Mechanics of particles and systems (70-XX) 12 Measure and integration (28-XX) 12 Optics, electromagnetic theory (78-XX) 11 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 8 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 4 Operator theory (47-XX) 3 Abstract harmonic analysis (43-XX) 3 Operations research, mathematical programming (90-XX) 2 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year