Edit Profile (opens in new tab) Kauffman, Louis Hirsch Co-Author Distance Author ID: kauffman.louis-hirsch Published as: Kauffman, Louis H.; Kauffman, Louis; Kauffman, L. H.; Kauffman, Louis Hirsch; Kauffman, L.; Kauffmann, L. H. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 352 Publications since 1972, including 8 Books and 37 Additional arXiv Preprints 37 Contributions as Editor · 6 Further Contributions Biographic References: 6 Publications Co-Authors: 178 Co-Authors with 240 Joint Publications 3,452 Co-Co-Authors all top 5 Co-Authors 149 single-authored 29 Lambropoulou, Sofia S. F. 24 Lomonaco, Samuel J. jun. 14 Lopes, Pedro 12 Manturov, Vassiliĭ Olegovich 12 Radford, David E. 11 Przytycki, Józef Henryk 10 Gügümcü, Neslihan 10 Ogasa, Eiji 9 Dye, Heather Ann 9 Sazdanović, Radmila 8 Jablan, Slavik Vlado 7 Gordon, Cameron McA. 6 Jin, Xian’an 6 Zhang, Yong 5 Ge, Molin 4 Adams, Colin C. 4 Amoroso, Richard L. 4 Antoniou, Stathis 4 Crane, Louis 4 Deng, Qingying 4 Jones, Vaughan Frederick Randal 4 Kawauchi, Akio 4 Lins, Sóstenes L. 4 Rowlands, Peter 4 Saito, Masahico 4 Saleur, Hubert 4 Yetter, David N. 3 Baldridge, Scott Jeremy 3 Birman, Joan S. 3 Carter, J. Scott 3 Dabkowski, Mieczysław K. 3 Fenn, Roger A. 3 Ge, Jun 3 Hackett, Jonathan 3 Harizanov, Valentina S. 3 Henrich, Allison K. 3 Jin, Gyo Taek 3 Kaestner, Aaron M. 3 Ko, Ki Hyoung 3 Levine, Jerome P. 3 Matsumoto, Yukio 3 Millett, Kenneth C. 3 Nikonov, Igor Mikhailovich 3 Panagiotou, Eleni 3 Radović, Ljiljana M. 3 Ricca, Renzo L. 3 Sabelli, Hector C. 2 Baadhio, Randy A. 2 Bilson-Thompson, Sundance O. 2 Brender McNair, Jytte 2 Buliga, Marius G. 2 Dang, Yumei 2 De Wit, David 2 Dennis, Lynnclaire 2 Eliahou, Shalom 2 Ellis-Monaghan, Joanna A. 2 Goldman, Jay Robert 2 Harary, Frank 2 Hrencecin, David 2 Huang, Milana 2 Jordan, Steven L. 2 King, Simon A. 2 Links, Jon Robert 2 Magarshak, Yuri B. 2 McCarty, Ben 2 Mishra, Rama 2 Moltmaker, Wout 2 Najdanović, Marija S. 2 Pongtanapaisan, Puttipong 2 Ramakrishna, Viswanath 2 Rančić, Svetozar R. 2 Ryba, Alexander J. E. 2 Sawin, Stephen F. 2 Thomas, Gerald H. 2 Velimirović, Ljubica S. 2 Zeković, Ana 2 Zhang, Lianzhu 1 Abrosimov, Nikolaĭ Vladimirovich 1 Akbulut, Selman 1 Albertini, Gianni 1 Amson, John Ceres 1 Arsiwalla, Xerxes D. 1 Banchoff, Thomas F. 1 Bar-Natan, Dror 1 Bardakov, Valeriĭ Georgievich 1 Barkataki, Kasturi 1 Bauer, Stefan Alois 1 Bhandari, Kumud 1 Bhargava, Manjul 1 Borcherds, Richard Ewen 1 Carlson-Sabelli, Linnea 1 Chekhov, Leonid O. 1 Chen, Goong 1 Cheng, Zhiyun 1 Chester, David 1 Chmutov, Sergei V. 1 Chrisman, Micah Whitney 1 Chu, Karene 1 Collings, Arthur M. 1 Conrad, Leon ...and 109 more Co-Authors all top 5 Serials 75 Journal of Knot Theory and its Ramifications 20 Series on Knots and Everything 8 Topology and its Applications 6 Quantum Information Processing 5 International Journal of Modern Physics A 5 Topology 5 Advances in Applied Mathematics 4 Fundamenta Mathematicae 4 Journal of Algebra 4 Transactions of the American Mathematical Society 4 European Journal of Combinatorics 4 Cybernetics and Systems 3 International Journal of Modern Physics B 3 American Mathematical Monthly 3 Communications in Mathematical Physics 3 Discrete Mathematics 3 Oberwolfach Reports 3 Symmetry 2 Communications in Algebra 2 International Journal of General Systems 2 International Journal of Theoretical Physics 2 Journal of Mathematical Physics 2 Reviews in Mathematical Physics 2 Applied Mathematics and Computation 2 Illinois Journal of Mathematics 2 Journal of Combinatorial Theory. Series B 2 Kybernetes 2 Bulgarian Journal of Physics 2 L’Enseignement Mathématique. 2e Série 2 Linear Algebra and its Applications 2 Notices of the American Mathematical Society 2 International Journal of Quantum Information 2 Bulletin of the American Mathematical Society 2 Annals of Mathematics Studies 2 Springer Proceedings in Mathematics & Statistics 1 Classical and Quantum Gravity 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Note di Matematica 1 Combinatorica 1 Systems Research 1 Physica D 1 Aequationes Mathematicae 1 Annals of Physics 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 The Australasian Journal of Combinatorics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The New York Journal of Mathematics 1 Matemática Contemporânea 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 Algebraic & Geometric Topology 1 Forma 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contemporary Mathematics 1 Mathematical Notes (Princeton) 1 Proceedings of the Steklov Institute of Mathematics 1 Proceedings of Symposia in Applied Mathematics 1 Quantum Topology 1 Molecular Based Mathematical Biology 1 Quantum Studies: Mathematics and Foundations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 306 Manifolds and cell complexes (57-XX) 94 Quantum theory (81-XX) 44 General and overarching topics; collections (00-XX) 24 Combinatorics (05-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Group theory and generalizations (20-XX) 20 Computer science (68-XX) 19 Relativity and gravitational theory (83-XX) 18 Associative rings and algebras (16-XX) 15 Mathematical logic and foundations (03-XX) 15 Biology and other natural sciences (92-XX) 13 Nonassociative rings and algebras (17-XX) 10 History and biography (01-XX) 10 Category theory; homological algebra (18-XX) 9 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 5 Algebraic geometry (14-XX) 4 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 4 Algebraic topology (55-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Astronomy and astrophysics (85-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 263 Publications have been cited 4,733 times in 2,691 Documents Cited by ▼ Year ▼ State models and the Jones polynomial. Zbl 0622.57004 Kauffman, Louis H. 592 1987 Virtual knot theory. Zbl 0938.57006 Kauffman, Louis H. 524 1999 An invariant of regular isotopy. Zbl 0763.57004 Kauffman, Louis H. 243 1990 Temperley-Lieb recoupling theory and invariants of 3-manifolds. Zbl 0821.57003 Kauffman, Louis H.; Lins, Sóstenes L. 208 1994 On knots. Zbl 0627.57002 Kauffman, Louis H. 148 1987 Formal knot theory. Zbl 0537.57002 Kauffman, Louis H. 107 1983 New invariants in the theory of knots. Zbl 0657.57001 Kauffman, Louis H. 100 1988 Knots and physics. Zbl 0749.57002 Kauffman, L. H. 100 1989 Knots and physics. Zbl 0733.57004 Kauffman, Louis H. 100 1991 Invariants of graphs in three-space. Zbl 0672.57008 Kauffman, Louis H. 76 1989 Biquandles and virtual links. Zbl 1063.57006 Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis 72 2004 A Tutte polynomial for signed graphs. Zbl 0698.05026 Kauffman, Louis H. 71 1989 Virtual crossing number and the arrow polynomial. Zbl 1195.57028 Dye, H. A.; Kauffman, Louis H. 64 2009 Knots and physics. 3rd ed. Zbl 1057.57001 Kauffman, Louis H. 60 2001 A necessary and sufficient condition for a finite-dimensional Drinfel’d double to be a ribbon Hopf algebra. Zbl 0802.16035 Kauffman, Louis H.; Radford, David E. 58 1993 State-sum invariants of 4-manifolds. Zbl 0883.57021 Crane, Louis; Kauffman, Louis H.; Yetter, David N. 56 1997 Minimal surface representations of virtual knots and links. Zbl 1083.57007 Dye, H. A.; Kauffman, Louis H. 53 2005 An affine index polynomial invariant of virtual knots. Zbl 1271.57040 Kauffman, Louis H. 53 2013 On the classification of rational tangles. Zbl 1057.57006 Kauffman, Louis H.; Lambropoulou, Sofia 51 2004 A self-linking invariant of virtual knots. Zbl 1064.57004 Kauffman, Louis H. 47 2004 Link polynomials and a graphical calculus. Zbl 0795.57001 Kauffman, Louis H.; Vogel, Pierre 46 1992 Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links. Zbl 1031.57009 Kauffman, Louis H.; Radford, David 45 2003 Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007 Kauffman, Louis H.; Radford, David E. 44 1995 Introduction to virtual knot theory. Zbl 1255.57005 Kauffman, Louis H. 42 2012 Free fermions and the Alexander-Conway polynomial. Zbl 0751.57004 Kauffman, L. H.; Saleur, H. 41 1991 Signature of links. Zbl 0322.55003 Kauffman, Louis H.; Taylor, Laurence R. 41 1976 The Conway polynomial. Zbl 0456.57004 Kauffman, Louis H. 40 1981 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301 Harary, Frank; Kauffman, Louis H. 39 1999 Virtual braids and the \(L\)-move. Zbl 1105.57002 Kauffman, Louis H.; Lambropoulou, Sofia 39 2006 Universal quantum gate, Yang – Baxterization and Hamiltonian. Zbl 1090.81023 Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin 39 2005 Virtual braids. Zbl 1068.57006 Kauffman, Louis H.; Lambropoulou, Sofia 38 2004 Infinite families of links with trivial Jones polynomial. Zbl 1013.57005 Eliahou, Shalom; Kauffman, Louis H.; Thistlethwaite, Morwen B. 38 2003 Rational tangles. Zbl 0871.57002 Goldman, Jay R.; Kauffman, Louis H. 37 1997 Quantum knots and mosaics. Zbl 1144.81013 Lomonaco, Samuel J.; Kauffman, Louis H. 34 2008 Universal quantum gates. Zbl 1130.81028 Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin 33 2005 New invariants of knotoids. Zbl 1373.57012 Gügümcü, Neslihan; Kauffman, Louis H. 33 2017 Statistical mechanics and the Jones polynomial. Zbl 0664.57002 Kauffman, Louis H. 32 1988 Virtual knot theory – unsolved problems. Zbl 1084.57005 Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O. 32 2005 Virtual biquandles. Zbl 1088.57006 Kauffman, Louis H.; Manturov, Vassily O. 31 2005 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 29 2017 Gauss codes, quantum groups and ribbon Hopf algebras. Zbl 0803.57001 Kauffman, Louis H. 28 1993 The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation. Zbl 0802.57003 Jaeger, François; Kauffman, L. H.; Saleur, H. 28 1994 Knots and physics. 4th ed. Zbl 1266.57001 Kauffman, Louis H. 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 virtual knots. Zbl 1072.57004 Kauffman, Louis H. 23 2001 Products of knots, branched fibrations and sums of singularities. Zbl 0447.57012 Kauffman, Louis H.; Neumann, Walter D. 23 1977 An extended bracket polynomial for virtual knots and links. Zbl 1192.57006 Kauffman, Louis H. 22 2009 \(q\)-deformed spin networks, knot polynomials and anyonic topological quantum computation. Zbl 1133.57007 Kauffman, Louis H.; Lomonaco, Samuel J. jun. 21 2007 On the classification of rational knots. Zbl 1059.57004 Kauffman, Louis H.; Lambropoulou, Sofia 21 2003 Knot diagrammatics. Zbl 1098.57005 Kauffman, Louis H. 21 2005 Branched coverings, open books and knot periodicity. Zbl 0283.57011 Kauffman, Louis H. 20 1974 On the minimum number of colors for knots. Zbl 1151.57008 Kauffman, Louis H.; Lopes, Pedro 19 2008 Virtual knots and links. Zbl 1351.57012 Kauffman, L. H.; Manturov, V. O. 18 2006 On filamentations and virtual knots. Zbl 1031.57008 Hrencecin, David; Kauffman, Louis H. 18 2003 On the Links-Gould invariant of links. Zbl 0934.57005 de Wit, David; Links, Jon R.; Kauffman, Louis H. 17 1999 Virtual knot cobordism. Zbl 1322.57008 Kauffman, Louis Hirsch 16 2015 A survey on knotoids, braidoids and their applications. Zbl 1423.57027 Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia 16 2019 Periodicity of branched cyclic covers. Zbl 0296.55001 Durfee, Alan; Kauffman, Louis 15 1975 Invariants of theta-curves and other graphs in 3-space. Zbl 0779.57003 Kauffman, Louis; Simon, Jonathan; Wolcott, Keith; Zhao, Peiyi 15 1993 Knots and physics. 2nd ed. Zbl 0868.57001 Kauffman, Louis H. 15 1994 Ideal knots. Zbl 0915.00018 15 1998 Map coloring and the vector cross product. Zbl 0638.05025 Kauffman, Louis H. 14 1990 Oriented quantum algebras, categories and invariants of knots and links. Zbl 1008.57010 Kauffman, Louis; Radford, David E. 14 2001 Structures and diagrammatics of four dimensional topological lattice field theories. Zbl 0938.57014 Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico 14 1999 Quantum computing and the Jones polynomial. Zbl 1063.81032 Kauffman, Louis H. 14 2002 Knot logic and topological quantum computing with Majorana fermions. Zbl 1355.81059 Kauffman, Louis H. 14 2016 Knots and applications. Zbl 0838.00015 13 1995 Spin networks and knot polynomials. Zbl 0708.57003 Kauffman, Louis H. 13 1990 A survey of virtual knot theory. Zbl 1054.57001 Kauffman, Louis H. 13 2000 Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant. Zbl 1089.57009 Dye, H. A.; Kauffman, Louis H. 13 2005 Local moves on knots and products of knots. Zbl 1320.57025 Kauffman, Louis H.; Ogasa, Eiji 11 2014 Classifying and applying rational knots and rational tangles. Zbl 1014.57009 Kauffman, Louis H.; Lambropoulou, Sofia 11 2002 Hypercomplex iterations. Distance estimation and higher dimensional fractals. Zbl 1043.28005 Dang, Yumei; Kauffman, Louis H.; Sandin, Daniel 11 2002 Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks. Zbl 1214.81056 Lomonaco, Samuel J.; Kauffman, Louis H. 10 2010 On two categorifications of the arrow polynomial for virtual knots. Zbl 1221.57016 Dye, Heather Ann; Kauffman, Louis Hirsch; Manturov, Vassily Olegovich 10 2011 Noncommutativity and discrete physics. Zbl 1040.81529 Kauffman, Louis H. 10 1998 Evaluating the Crane-Yetter invariant. Zbl 0841.57029 Crane, Louis; Kauffman, Louis H.; Yetter, David 10 1993 Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010 Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O. 9 2014 Hard unknots and collapsing tangles. Zbl 1259.57003 Kauffman, Louis H.; Lambropoulou, Sofia 9 2012 Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics. Zbl 0867.58029 Kauffman, Louis H.; Noyes, H. Pierre 9 1996 State models for link polynomials. Zbl 0711.57003 Kauffman, Louis H. 9 1990 Oriented quantum algebras and invariants of knots and links. Zbl 1002.16037 Kauffman, Louis H.; Radford, David E. 9 2001 Knots, tangles, and electrical networks. Zbl 0806.57002 Goldman, Jay R.; Kauffman, Louis H. 9 1993 Biquandles for virtual knots. Zbl 1161.57004 Hrencecin, David; Kauffman, Louis H. 9 2007 Rotational virtual knots and quantum link invariants. Zbl 1378.57020 Kauffman, Louis H. 8 2015 Permutation and its partial transpose. Zbl 1407.81051 Zhang, Yong; Kauffman, Louis H.; Werner, Reinhard F. 8 2007 Lune-free knot graphs. Zbl 1221.57003 Eliahou, Shalom; Harary, Frank; Kauffman, Louis H. 8 2008 Knot logic. Zbl 1149.03301 Kauffman, Louis H. 8 1995 Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots. Zbl 0973.16022 Kauffman, Louis; Radford, David E. 8 2000 Knot polynomials of open and closed curves. Zbl 1472.57011 Panagiotou, Eleni; Kauffman, Louis H. 8 2020 A graphical construction of the sl(3) invariant for virtual knots. Zbl 1326.57018 Kauffman, Louis H.; Manturov, Vassily O. 7 2014 A polynomial invariant for flat virtual links. Zbl 1147.57017 Kauffman, Louis H.; Richter, R. Bruce 7 2008 Parity, skein polynomials and categorification. Zbl 1263.57009 Kaestner, Aaron M.; Kauffman, Louis H. 7 2012 Computing Turaev-Viro invariants for 3-manifolds. Zbl 0725.57008 Kauffman, Louis H.; Lins, Sóstenes 7 1991 Skein invariants of links and their state sum models. Zbl 1423.57030 Kauffman, Louis H.; Lambropoulou, Sofia 7 2017 Virtual knot cobordism and the affine index polynomial. Zbl 1436.57007 Kauffman, Louis H. 6 2018 An algebraic approach to the planar coloring problem. Zbl 0769.05039 Kauffmann, L. H.; Saleur, H. 6 1993 Control aspects of quantum computing using pure and mixed states. Zbl 1329.81156 Schulte-Herbrüggen, Thomas; Marx, Raimund; Fahmy, Amr; Kauffman, Louis; Lomonaco, Samuel; Khaneja, Navin; Glaser, Steffen J. 6 2012 Invariants of welded virtual knots via crossed module invariants of knotted surfaces. Zbl 1146.57004 Kauffman, Louis H.; Martins, João Faria 6 2008 Determinants of rational knots. Zbl 1207.57020 Kauffman, Louis; Lopes, Pedro 6 2009 The Jones polynomial, knots, diagrams, and categories. Zbl 1523.57006 Kauffman, Louis H. 1 2023 Unoriented Khovanov homology. Zbl 1485.57003 Baldridge, Scott; Kauffman, Louis H.; McCarty, Ben 2 2022 On ribbon graphs and virtual links. Zbl 1500.57009 Baldridge, Scott; Kauffman, Louis H.; Rushworth, William 1 2022 Finite type invariants for knotoids. Zbl 1473.57027 Manouras, Manousos; Lambropoulou, Sofia; Kauffman, Louis H. 4 2021 Quantum invariants of knotoids. Zbl 1482.57003 Gügümcü, Neslihan; Kauffman, Louis H. 3 2021 Encyclopedia of knot theory. Zbl 1468.57001 3 2021 Parity, virtual closure and minimality of knotoids. Zbl 1491.57011 Gügümcü, N.; Kauffman, L. H. 3 2021 Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces. Zbl 1484.57007 Kauffman, Louis H.; Nikonov, Igor Mikhailovich; Ogasa, Eiji 2 2021 On the orbits associated with the Collatz conjecture. Zbl 1476.11063 Kauffman, Louis H.; Lopes, Pedro 2 2021 The affine index polynomial and the Sawollek polynomial. Zbl 1498.57011 Kauffman, Louis H. 1 2021 On arrow polynomials of checkerboard colorable virtual links. Zbl 1479.57028 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 1 2021 Local-moves on knots and products of knots. II. Zbl 1485.57020 Kauffman, Louis H.; Ogasa, Eiji 1 2021 Knot polynomials of open and closed curves. Zbl 1472.57011 Panagiotou, Eleni; Kauffman, Louis H. 8 2020 Black holes and topological surgery. Zbl 1455.57023 Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia 2 2020 The prevalence of persistent tangles. Zbl 1456.57007 Kauffman, Louis H.; Lopes, Pedro 1 2020 A survey on knotoids, braidoids and their applications. Zbl 1423.57027 Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia 16 2019 Topological surgery in cosmic phenomena. Zbl 1480.83119 Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia 3 2019 Infinitesimal bending of knots and energy change. Zbl 1429.53004 Kauffman, Louis H.; Velimirović, Ljubica S.; Najdanović, Marija S.; Rančić, Svetozar R. 3 2019 Topological aspects of quantum entanglement. Zbl 1417.81039 Kauffman, Louis H.; Mehrotra, Eshan 3 2019 Brieskorn submanifolds, local moves on knots, and knot products. Zbl 1432.57039 Kauffman, Louis H.; Ogasa, Eiji 3 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. 2 2019 The generalized Yamada polynomials of virtual spatial graphs. Zbl 1411.57024 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 2 2019 Topological surgery in the small and in the large. Zbl 1423.57006 Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia 1 2019 New skein invariants of links. Zbl 1440.57006 Kauffman, Louis H.; Lambropoulou, Sofia 1 2019 Virtual knot cobordism and the affine index polynomial. Zbl 1436.57007 Kauffman, Louis H. 6 2018 Colorings beyond Fox: the other linear Alexander quandles. Zbl 1393.57013 Kauffman, Louis H.; Lopes, Pedro 3 2018 Graphical virtual links and a polynomial for signed cyclic graphs. Zbl 1402.57008 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 2 2018 Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Zbl 1448.81241 Kauffman, Louis H.; Lomonaco, Samuel J. 2 2018 Simplicial homotopy theory, link homology and Khovanov homology. Zbl 1408.57006 Kauffman, Louis H. 1 2018 New invariants of knotoids. Zbl 1373.57012 Gügümcü, Neslihan; Kauffman, Louis H. 33 2017 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 29 2017 Skein invariants of links and their state sum models. Zbl 1423.57030 Kauffman, Louis H.; Lambropoulou, Sofia 7 2017 A knot polynomial invariant for analysis of topology of RNA stems and protein disulfide bonds. Zbl 1394.92099 Tian, Wei; Lei, Xue; Kauffman, Louis H.; Liang, Jie 3 2017 Minimal sufficient sets of colors and minimum number of colors. Zbl 1377.57015 Ge, Jun; Jin, Xian’an; Kauffman, Louis H.; Lopes, Pedro; Zhang, Lianzhu 3 2017 On the height of knotoids. Zbl 1383.57007 Gügümcü, Neslihan; Kauffman, Louis H. 3 2017 Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs. Zbl 1386.57018 Henrich, Allison; Kauffman, Louis H. 3 2017 Infinitely many prime knots with the same Alexander invariants. Zbl 1373.57032 Kauffman, Louis H.; Lopes, Pedro 2 2017 Investigation of bifurcations in the process equation. Zbl 1381.39005 Nazarimehr, Fahimeh; Jafari, Sajad; Golpayegani, Seyed Mohammad Reza Hashemi; Kauffman, Louis H. 2 2017 Braiding and Majorana fermions. Zbl 1373.81144 Kauffman, Louis H. 1 2017 Knot logic and topological quantum computing with Majorana fermions. Zbl 1355.81059 Kauffman, Louis H. 14 2016 A state calculus for graph coloring. Zbl 1365.05090 Kauffman, Louis H. 3 2016 The unknotting problem. Zbl 1349.57001 Kauffman, Louis H. 2 2016 Knot theory. Zbl 1354.57002 Kauffman, Louis H. 2 2016 An introduction to Khovanov homology. Zbl 1354.57003 Kauffman, Louis H. 2 2016 Iterants, fermions and Majorana operators. Zbl 1334.81035 Kauffman, Louis H. 1 2016 Alexander-Conway polynomial state model and link homology. Zbl 1336.57010 Kauffman, Louis H.; Silvero, Marithania 1 2016 Delta diagrams. Zbl 1356.57011 Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 1 2016 Unknotting and maximum unknotting numbers. Zbl 1351.57015 Zeković, Ana; Jablan, Slavik; Kauffman, Louis; Sazdanovic, Radmila; Stošić, Marko 1 2016 Virtual knot cobordism. Zbl 1322.57008 Kauffman, Louis Hirsch 16 2015 Rotational virtual knots and quantum link invariants. Zbl 1378.57020 Kauffman, Louis H. 8 2015 The delunification process and minimal diagrams. Zbl 1322.57012 Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 5 2015 Infinite computations and the generic finite. Zbl 1338.68083 Kauffman, Louis H. 4 2015 Graphical constructions for the sl(3), \(C_2\) and \(G_2\) invariants for virtual knots, virtual braids and free knots. Zbl 1321.57010 Kauffman, Louis Hirsch; Manturov, Vassily Olegovich 4 2015 New ideas in low dimensional topology. Zbl 1314.57001 4 2015 Chern-Simons theory, Vassiliev invariants, loop quantum gravity and functional integration without integration. Zbl 1337.81087 Kauffman, Louis H. 3 2015 Local moves on knots and products of knots. Zbl 1320.57025 Kauffman, Louis H.; Ogasa, Eiji 11 2014 Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010 Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O. 9 2014 A graphical construction of the sl(3) invariant for virtual knots. Zbl 1326.57018 Kauffman, Louis H.; Manturov, Vassily O. 7 2014 Equivalence classes of colorings. Zbl 1316.57012 Ge, Jun; Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 5 2014 Parity biquandle. Zbl 1291.57009 Kaestner, Aaron; Kauffman, Louis H. 5 2014 Unknotting unknots. Zbl 1302.57019 Henrich, Allison; Kauffman, Louis H. 1 2014 An affine index polynomial invariant of virtual knots. Zbl 1271.57040 Kauffman, Louis H. 53 2013 Knots and physics. 4th ed. Zbl 1266.57001 Kauffman, Louis H. 26 2013 A linking number definition of the affine index polynomial and applications. Zbl 1320.57009 Folwaczny, Lena C.; Kauffman, Louis H. 25 2013 On the maximum number of colors for links. Zbl 1420.57038 Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 3 2013 Nodal parity invariants of knotted rigid vertex graphs. Zbl 1270.57013 Kauffman, Louis H.; Mishra, Rama 2 2013 A note on amphicheiral alternating links. Zbl 1259.05082 Kauffman, Louis H.; Jablan, Slavik V. 1 2013 Reduced relative Tutte, Kauffman bracket and Jones polynomials of virtual link families. Zbl 1266.05069 Kauffman, Louis H.; Jablan, Slavik; Radović, Ljiljana; Sazdanović, Radmila 1 2013 Introduction to virtual knot theory. Zbl 1255.57005 Kauffman, Louis H. 42 2012 Hard unknots and collapsing tangles. Zbl 1259.57003 Kauffman, Louis H.; Lambropoulou, Sofia 9 2012 Parity, skein polynomials and categorification. Zbl 1263.57009 Kaestner, Aaron M.; Kauffman, Louis H. 7 2012 Control aspects of quantum computing using pure and mixed states. Zbl 1329.81156 Schulte-Herbrüggen, Thomas; Marx, Raimund; Fahmy, Amr; Kauffman, Louis; Lomonaco, Samuel; Khaneja, Navin; Glaser, Steffen J. 6 2012 The Teneva game. Zbl 1279.57010 Kauffman, Louis H.; Lopes, Pedro 5 2012 Emergent braided matter of quantum geometry. Zbl 1242.83034 Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis; Wan, Yidun 4 2012 Khovanov homology. Zbl 1263.57010 Kauffman, Louis H. 2 2012 A categorical model for the virtual braid group. Zbl 1264.57004 Kauffman, Louis H.; Lambropoulou, Sofia 2 2012 Remarks on Khovanov homology and the Potts model. Zbl 1262.57008 Kauffman, Louis H. 2 2012 Following knots down their energy gradients. Zbl 1351.57013 Kauffman, Louis H. 2 2012 Introductory lectures on knot theory. Selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology, ICTP, Trieste, Italy, May 11–29, 2009. Zbl 1237.57001 1 2012 On two categorifications of the arrow polynomial for virtual knots. Zbl 1221.57016 Dye, Heather Ann; Kauffman, Louis Hirsch; Manturov, Vassily Olegovich 10 2011 A categorical structure for the virtual braid group. Zbl 1244.57026 Kauffman, Louis H.; Lambropoulou, Sofia 4 2011 Lower bounds on virtual crossing number and minimal surface genus. Zbl 1221.57001 Bhandari, Kumud; Dye, H. A.; Kauffman, Louis H. 3 2011 Topological quantum information, Khovanov homology and the Jones polynomial. Zbl 1231.57008 Kauffman, Louis H. 3 2011 Oriented quantum algebras and coalgebras, invariants of oriented \(1-1\) tangles, knots and links. Zbl 1218.81057 Kauffman, Louis; Radford, David E. 3 2011 A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology. Zbl 1231.57009 Kauffman, Louis H. 1 2011 Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks. Zbl 1214.81056 Lomonaco, Samuel J.; Kauffman, Louis H. 10 2010 Virtual homotopy. Zbl 1246.57023 Dye, H. A.; Kauffman, Louis H. 5 2010 Topological quantum information theory. Zbl 1216.81039 Kauffman, Louis H.; Lomonaco, Samuel J. jun. 4 2010 Quantum knots and mosaics. Zbl 1214.81055 Lomonaco, Samuel J.; Kauffman, Louis H. 2 2010 Virtual crossing number and the arrow polynomial. Zbl 1195.57028 Dye, H. A.; Kauffman, Louis H. 64 2009 An extended bracket polynomial for virtual knots and links. Zbl 1192.57006 Kauffman, Louis H. 22 2009 Determinants of rational knots. Zbl 1207.57020 Kauffman, Louis; Lopes, Pedro 6 2009 Particle topology, braids, and braided belts. Zbl 1304.81150 Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis H. 4 2009 Topology and quantum computing. Zbl 1165.81016 Kauffman, L. H.; Lomonaco, S. J. 2 2009 Knots and physics. Zbl 1179.57020 Kauffman, Louis H. 2 2009 Tangles, rational knots and DNA. Zbl 1305.57014 Kauffman, Louis H.; Lambropoulou, Sofia 1 2009 Quantum knots and mosaics. Zbl 1144.81013 Lomonaco, Samuel J.; Kauffman, Louis H. 34 2008 On the minimum number of colors for knots. Zbl 1151.57008 Kauffman, Louis H.; Lopes, Pedro 19 2008 Lune-free knot graphs. Zbl 1221.57003 Eliahou, Shalom; Harary, Frank; Kauffman, Louis H. 8 2008 A polynomial invariant for flat virtual links. Zbl 1147.57017 Kauffman, Louis H.; Richter, R. Bruce 7 2008 ...and 163 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,405 Authors 135 Kauffman, Louis Hirsch 49 Manturov, Vassiliĭ Olegovich 42 Nelson, Sam 31 Stoimenow, Alexander 30 Morozov, Alexei Yurievich 30 Xue, Kang 26 Jin, Xian’an 25 Saito, Masahico 24 Kamada, Naoko 24 Satoh, Shin 23 Kamada, Seiichi 22 Im, Young Ho 22 Przytycki, Józef Henryk 20 Lambropoulou, Sofia S. F. 19 Bardakov, Valeriĭ Georgievich 19 Mironov, Andrei D. 19 Silver, Daniel S. 19 Sun, Chunfang 18 Adams, Colin C. 18 Carter, J. Scott 18 Nakanishi, Yasutaka 18 Wang, Gangcheng 17 Lee, Sang Youl 17 Morozov, Andreĭ Alekseevich 17 Williams, Susan G. 16 Dye, Heather Ann 16 Oh, Seungsang 15 Chrisman, Micah Whitney 15 Kanenobu, Taizo 15 Le, Thang Tu Quoc 15 Nakamura, Takuji 15 Yasuhara, Akira 14 Diao, Yuanan 14 Jablan, Slavik Vlado 14 Jeong, Myeong-Ju 14 Jones, Vaughan Frederick Randal 14 Kim, Sera 14 Traldi, Lorenzo 13 Elhamdadi, Mohamed 13 Gilmer, Patrick M. 13 Hu, Taotao 13 Ishii, Atsushi 12 Boden, Hans U. 12 East, James 12 Jaeger, François 12 Lee, Kyeonghui 12 Wang, Zhenghan 11 Chbili, Nafaa 11 Cheng, Zhiyun 11 Garoufalidis, Stavros 11 Ge, Molin 11 Henrich, Allison K. 11 Kim, Joonoh 11 Lopes, Pedro 11 Oshiro, Kanako 11 Sazdanović, Radmila 11 Vesnin, Andrei Yu. 11 Wada, Kodai 11 Zhang, Fuji 10 Bar-Natan, Dror 10 Caprau, Carmen Livia 10 Hajij, Mustafa 10 Kawauchi, Akio 10 Nikkuni, Ryo 10 Patureau-Mirand, Bertrand 10 Radford, David E. 10 Ramadevi, Pichai 10 Turaev, Vladimir Georgievich 9 Geer, Nathan 9 Gügümcü, Neslihan 9 Il’yutko, Denis Petrovich 9 Lee, Hwa Jeong 9 Miyazawa, Yasuyuki 9 Nikonov, Igor Mikhailovich 9 Takioka, Hideo 9 Tarkaev, Vladimir Viktorovich 9 Zhang, Yong 8 Altintas, Ismet 8 Bartholomew, Andrew 8 Bataineh, Khaled 8 De Wit, David 8 Frohman, Charles D. 8 Ganzell, Sandy 8 Gelca, Răzvan 8 Jonoska, Nataša 8 Khovanov, Mikhail G. 8 Kim, Jieon 8 Lowrance, Adam M. 8 Masbaum, Gregor 8 Nasybullov, Timur Rinatovich 8 Neshchadim, Mikhail Vladimirovich 8 Ogasa, Eiji 8 Park, Chan-Young 8 Sikora, Adam S. 8 Szabo, Zoltan 8 Tao, Zhixiong 8 Zhou, Chengcheng 7 Barrett, John William 7 Bellingeri, Paolo 7 Deng, Qingying ...and 2,305 more Authors all top 5 Cited in 338 Serials 641 Journal of Knot Theory and its Ramifications 158 Topology and its Applications 95 Algebraic & Geometric Topology 59 Communications in Mathematical Physics 56 Nuclear Physics. 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New Series 8 Journal of Algebra and its Applications 8 International Journal of Quantum Information 7 International Journal of General Systems 7 The Mathematical Intelligencer 7 Geometriae Dedicata 7 Discrete & Computational Geometry 7 Algebras and Representation Theory 6 Bulletin of the London Mathematical Society 6 Canadian Journal of Mathematics 6 Compositio Mathematica 6 Graphs and Combinatorics 6 Nuclear Physics. B. Proceedings Supplements 6 The New York Journal of Mathematics 6 Proceedings of the Steklov Institute of Mathematics 5 International Journal of Modern Physics B 5 Bulletin of the Australian Mathematical Society 5 Journal of Statistical Physics 5 Mathematical Notes 5 Pacific Journal of Mathematics 5 Bulletin of the Korean Mathematical Society 5 Journal of Symbolic Computation 5 Linear Algebra and its Applications 5 Expositiones Mathematicae 5 Combinatorics, Probability and Computing 5 New Journal of Physics 5 Communications in Contemporary Mathematics 5 Annales Henri Poincaré 5 Journal of Statistical Mechanics: Theory and Experiment 5 Foundations of Physics 5 Oberwolfach Reports 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Combinatorial Algebra 4 Classical and Quantum Gravity 4 International Journal of Engineering Science 4 Physica A 4 Rocky Mountain Journal of Mathematics 4 Reviews in Mathematical Physics 4 Glasgow Mathematical Journal 4 Illinois Journal of Mathematics 4 Indiana University Mathematics Journal ...and 238 more Serials all top 5 Cited in 58 Fields 1,979 Manifolds and cell complexes (57-XX) 470 Quantum theory (81-XX) 287 Combinatorics (05-XX) 285 Group theory and generalizations (20-XX) 215 Associative rings and algebras (16-XX) 187 Nonassociative rings and algebras (17-XX) 149 Category theory; homological algebra (18-XX) 108 Statistical mechanics, structure of matter (82-XX) 95 Relativity and gravitational theory (83-XX) 81 Computer science (68-XX) 68 Differential geometry (53-XX) 54 Global analysis, analysis on manifolds (58-XX) 52 Functional analysis (46-XX) 51 Dynamical systems and ergodic theory (37-XX) 51 Biology and other natural sciences (92-XX) 43 Algebraic geometry (14-XX) 38 Algebraic topology (55-XX) 34 Number theory (11-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 20 Several complex variables and analytic spaces (32-XX) 19 Partial differential equations (35-XX) 19 Information and communication theory, circuits (94-XX) 18 General and overarching topics; collections (00-XX) 18 Mathematical logic and foundations (03-XX) 18 Topological groups, Lie groups (22-XX) 17 History and biography (01-XX) 14 Geometry (51-XX) 14 Numerical analysis (65-XX) 13 Convex and discrete geometry (52-XX) 12 Commutative algebra (13-XX) 12 Mechanics of particles and systems (70-XX) 11 Measure and integration (28-XX) 11 Probability theory and stochastic processes (60-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 General algebraic systems (08-XX) 10 Special functions (33-XX) 9 Fluid mechanics (76-XX) 8 Systems theory; control (93-XX) 7 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 6 Statistics (62-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 \(K\)-theory (19-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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