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: 350 Publications since 1972, including 8 Books and 40 Additional arXiv Preprints 37 Contributions as Editor · 6 Further Contributions Biographic References: 6 Publications Co-Authors: 178 Co-Authors with 239 Joint Publications 3,367 Co-Co-Authors all top 5 Co-Authors 148 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 Ogasa, Eiji 9 Dye, Heather Ann 9 Gügümcü, Neslihan 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 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 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 1 Crompton, Andrew 1 Crowe, Donald W. ...and 109 more Co-Authors all top 5 Serials 73 Journal of Knot Theory and its Ramifications 20 Series on Knots and Everything 7 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 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 305 Manifolds and cell complexes (57-XX) 92 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) 7 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 5 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 4 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 4 Geometry (51-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 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 256 Publications have been cited 4,402 times in 2,509 Documents Cited by ▼ Year ▼ State models and the Jones polynomial. Zbl 0622.57004 Kauffman, Louis H. 562 1987 Virtual knot theory. Zbl 0938.57006 Kauffman, Louis H. 506 1999 An invariant of regular isotopy. Zbl 0763.57004 Kauffman, Louis H. 225 1990 Temperley-Lieb recoupling theory and invariants of 3-manifolds. Zbl 0821.57003 Kauffman, Louis H.; Lins, Sóstenes L. 196 1994 On knots. Zbl 0627.57002 Kauffman, Louis H. 118 1987 Formal knot theory. Zbl 0537.57002 Kauffman, Louis H. 100 1983 Knots and physics. Zbl 0749.57002 Kauffman, L. H. 100 1989 New invariants in the theory of knots. Zbl 0657.57001 Kauffman, Louis H. 99 1988 Knots and physics. Zbl 0733.57004 Kauffman, Louis H. 80 1991 Invariants of graphs in three-space. Zbl 0672.57008 Kauffman, Louis H. 72 1989 Biquandles and virtual links. Zbl 1063.57006 Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis 69 2004 A Tutte polynomial for signed graphs. Zbl 0698.05026 Kauffman, Louis H. 68 1989 Virtual crossing number and the arrow polynomial. Zbl 1195.57028 Dye, H. A.; Kauffman, Louis H. 63 2009 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. 56 1993 Minimal surface representations of virtual knots and links. Zbl 1083.57007 Dye, H. A.; Kauffman, Louis H. 53 2005 Knots and physics. 3rd ed. Zbl 1057.57001 Kauffman, Louis H. 52 2001 An affine index polynomial invariant of virtual knots. Zbl 1271.57040 Kauffman, Louis H. 50 2013 On the classification of rational tangles. Zbl 1057.57006 Kauffman, Louis H.; Lambropoulou, Sofia 49 2004 State-sum invariants of 4-manifolds. Zbl 0883.57021 Crane, Louis; Kauffman, Louis H.; Yetter, David N. 47 1997 A self-linking invariant of virtual knots. Zbl 1064.57004 Kauffman, Louis H. 45 2004 Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007 Kauffman, Louis H.; Radford, David E. 42 1995 Link polynomials and a graphical calculus. Zbl 0795.57001 Kauffman, Louis H.; Vogel, Pierre 42 1992 Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links. Zbl 1031.57009 Kauffman, Louis H.; Radford, David 41 2003 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301 Harary, Frank; Kauffman, Louis H. 39 1999 Introduction to virtual knot theory. Zbl 1255.57005 Kauffman, Louis H. 39 2012 Virtual braids and the \(L\)-move. Zbl 1105.57002 Kauffman, Louis H.; Lambropoulou, Sofia 37 2006 Free fermions and the Alexander-Conway polynomial. Zbl 0751.57004 Kauffman, L. H.; Saleur, H. 37 1991 Rational tangles. Zbl 0871.57002 Goldman, Jay R.; Kauffman, Louis H. 37 1997 The Conway polynomial. Zbl 0456.57004 Kauffman, Louis H. 37 1981 Infinite families of links with trivial Jones polynomial. Zbl 1013.57005 Eliahou, Shalom; Kauffman, Louis H.; Thistlethwaite, Morwen B. 37 2003 Signature of links. Zbl 0322.55003 Kauffman, Louis H.; Taylor, Laurence R. 36 1976 Virtual braids. Zbl 1068.57006 Kauffman, Louis H.; Lambropoulou, Sofia 36 2004 Universal quantum gate, Yang – Baxterization and Hamiltonian. Zbl 1090.81023 Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin 34 2005 Quantum knots and mosaics. Zbl 1144.81013 Lomonaco, Samuel J.; Kauffman, Louis H. 33 2008 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. 29 2005 Universal quantum gates. Zbl 1130.81028 Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin 28 2005 Gauss codes, quantum groups and ribbon Hopf algebras. Zbl 0803.57001 Kauffman, Louis H. 28 1993 New invariants of knotoids. Zbl 1373.57012 Gügümcü, Neslihan; Kauffman, Louis H. 28 2017 The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation. Zbl 0802.57003 Jaeger, François; Kauffman, L. H.; Saleur, H. 27 1994 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 27 2017 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 A linking number definition of the affine index polynomial and applications. Zbl 1320.57009 Folwaczny, Lena C.; Kauffman, Louis H. 23 2013 An extended bracket polynomial for virtual knots and links. Zbl 1192.57006 Kauffman, Louis H. 22 2009 Knots and physics. 4th ed. Zbl 1266.57001 Kauffman, Louis H. 21 2013 On the classification of rational knots. Zbl 1059.57004 Kauffman, Louis H.; Lambropoulou, Sofia 21 2003 \(q\)-deformed spin networks, knot polynomials and anyonic topological quantum computation. Zbl 1133.57007 Kauffman, Louis H.; Lomonaco, Samuel J. jun. 20 2007 On the minimum number of colors for knots. Zbl 1151.57008 Kauffman, Louis H.; Lopes, Pedro 18 2008 Branched coverings, open books and knot periodicity. Zbl 0283.57011 Kauffman, Louis H. 18 1974 Knot diagrammatics. Zbl 1098.57005 Kauffman, Louis H. 18 2005 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 knots and links. Zbl 1351.57012 Kauffman, L. H.; Manturov, V. O. 17 2006 A survey on knotoids, braidoids and their applications. Zbl 1423.57027 Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia 16 2019 Statistical mechanics and the Jones polynomial. Zbl 0664.57002 Kauffman, Louis H. 15 1988 Periodicity of branched cyclic covers. Zbl 0296.55001 Durfee, Alan; Kauffman, Louis 15 1975 Virtual knot cobordism. Zbl 1322.57008 Kauffman, Louis Hirsch 15 2015 Map coloring and the vector cross product. Zbl 0638.05025 Kauffman, Louis H. 14 1990 Invariants of theta-curves and other graphs in 3-space. Zbl 0779.57003 Kauffman, Louis; Simon, Jonathan; Wolcott, Keith; Zhao, Peiyi 14 1993 Knot logic and topological quantum computing with Majorana fermions. Zbl 1355.81059 Kauffman, Louis H. 14 2016 Oriented quantum algebras, categories and invariants of knots and links. Zbl 1008.57010 Kauffman, Louis; Radford, David E. 14 2001 Knots and physics. 2nd ed. Zbl 0868.57001 Kauffman, Louis H. 13 1994 Structures and diagrammatics of four dimensional topological lattice field theories. Zbl 0938.57014 Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico 12 1999 Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant. Zbl 1089.57009 Dye, H. A.; Kauffman, Louis H. 12 2005 A survey of virtual knot theory. Zbl 1054.57001 Kauffman, Louis H. 12 2000 Quantum computing and the Jones polynomial. Zbl 1063.81032 Kauffman, Louis H. 12 2002 Spin networks and knot polynomials. Zbl 0708.57003 Kauffman, Louis H. 12 1990 Ideal knots. Zbl 0915.00018 11 1998 Local moves on knots and products of knots. Zbl 1320.57025 Kauffman, Louis H.; Ogasa, Eiji 11 2014 On two categorifications of the arrow polynomial for virtual knots. Zbl 1221.57016 Dye, Heather Ann; Kauffman, Louis Hirsch; Manturov, Vassily Olegovich 10 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 Hypercomplex iterations. Distance estimation and higher dimensional fractals. Zbl 1043.28005 Dang, Yumei; Kauffman, Louis H.; Sandin, Daniel 10 2002 Biquandles for virtual knots. Zbl 1161.57004 Hrencecin, David; Kauffman, Louis H. 9 2007 Evaluating the Crane-Yetter invariant. Zbl 0841.57029 Crane, Louis; Kauffman, Louis H.; Yetter, David 9 1993 Oriented quantum algebras and invariants of knots and links. Zbl 1002.16037 Kauffman, Louis H.; Radford, David E. 9 2001 Classifying and applying rational knots and rational tangles. Zbl 1014.57009 Kauffman, Louis H.; Lambropoulou, Sofia 9 2002 State models for link polynomials. Zbl 0711.57003 Kauffman, Louis H. 9 1990 Knots, tangles, and electrical networks. Zbl 0806.57002 Goldman, Jay R.; Kauffman, Louis H. 9 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 Permutation and its partial transpose. Zbl 1407.81051 Zhang, Yong; Kauffman, Louis H.; Werner, Reinhard F. 8 2007 Knots and applications. Zbl 0838.00015 8 1995 Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots. Zbl 0973.16022 Kauffman, Louis; Radford, David E. 8 2000 Hard unknots and collapsing tangles. Zbl 1259.57003 Kauffman, Louis H.; Lambropoulou, Sofia 8 2012 Knot logic. Zbl 1149.03301 Kauffman, Louis H. 8 1995 Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics. Zbl 0867.58029 Kauffman, Louis H.; Noyes, H. Pierre 8 1996 Lune-free knot graphs. Zbl 1221.57003 Eliahou, Shalom; Harary, Frank; Kauffman, Louis H. 8 2008 Noncommutativity and discrete physics. Zbl 1040.81529 Kauffman, Louis H. 7 1998 Rotational virtual knots and quantum link invariants. Zbl 1378.57020 Kauffman, Louis H. 7 2015 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 Skein invariants of links and their state sum models. Zbl 1423.57030 Kauffman, Louis H.; Lambropoulou, Sofia 7 2017 Fourier knots. Zbl 0947.57007 Kauffman, Louis H. 6 1998 Quantum algebra structures on \(n\times n\) matrices. Zbl 0926.16035 Kauffman, Louis H.; Radford, David E. 6 1999 Minimal flat knotted ribbons. Zbl 1094.57009 Kauffman, Louis H. 6 2005 Computing Turaev-Viro invariants for 3-manifolds. Zbl 0725.57008 Kauffman, Louis H.; Lins, Sóstenes 6 1991 An algebraic approach to the planar coloring problem. Zbl 0769.05039 Kauffmann, L. H.; Saleur, H. 6 1993 Invariants of welded virtual knots via crossed module invariants of knotted surfaces. Zbl 1146.57004 Kauffman, Louis H.; Martins, João Faria 6 2008 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 Parity, skein polynomials and categorification. Zbl 1263.57009 Kaestner, Aaron M.; Kauffman, Louis H. 6 2012 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. 3 2021 Quantum invariants of knotoids. Zbl 1482.57003 Gügümcü, Neslihan; Kauffman, Louis H. 2 2021 Parity, virtual closure and minimality of knotoids. Zbl 1491.57011 Gügümcü, N.; Kauffman, L. H. 2 2021 On arrow polynomials of checkerboard colorable virtual links. Zbl 1479.57028 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 1 2021 Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces. Zbl 1484.57007 Kauffman, Louis H.; Nikonov, Igor Mikhailovich; Ogasa, Eiji 1 2021 Local-moves on knots and products of knots. II. Zbl 1485.57020 Kauffman, Louis H.; Ogasa, Eiji 1 2021 Encyclopedia of knot theory. Zbl 1468.57001 1 2021 Knot polynomials of open and closed curves. Zbl 1472.57011 Panagiotou, Eleni; Kauffman, Louis H. 4 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 Brieskorn submanifolds, local moves on knots, and knot products. Zbl 1432.57039 Kauffman, Louis H.; Ogasa, Eiji 3 2019 Topological aspects of quantum entanglement. Zbl 1417.81039 Kauffman, Louis H.; Mehrotra, Eshan 3 2019 Topological surgery in cosmic phenomena. Zbl 1480.83119 Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia 2 2019 Infinitesimal bending of knots and energy change. Zbl 1429.53004 Kauffman, Louis H.; Velimirović, Ljubica S.; Najdanović, Marija S.; Rančić, Svetozar R. 2 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 2 2018 Graphical virtual links and a polynomial for signed cyclic graphs. Zbl 1402.57008 Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. 2 2018 Simplicial homotopy theory, link homology and Khovanov homology. Zbl 1408.57006 Kauffman, Louis H. 1 2018 Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. Zbl 1448.81241 Kauffman, Louis H.; Lomonaco, Samuel J. 1 2018 New invariants of knotoids. Zbl 1373.57012 Gügümcü, Neslihan; Kauffman, Louis H. 28 2017 Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012 Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H. 27 2017 Skein invariants of links and their state sum models. Zbl 1423.57030 Kauffman, Louis H.; Lambropoulou, Sofia 7 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 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 Investigation of bifurcations in the process equation. Zbl 1381.39005 Nazarimehr, Fahimeh; Jafari, Sajad; Golpayegani, Seyed Mohammad Reza Hashemi; Kauffman, Louis H. 1 2017 Braiding and Majorana fermions. Zbl 1373.81144 Kauffman, Louis H. 1 2017 Infinitely many prime knots with the same Alexander invariants. Zbl 1373.57032 Kauffman, Louis H.; Lopes, Pedro 1 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 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 Knot theory. Zbl 1354.57002 Kauffman, Louis H. 2 2016 An introduction to Khovanov homology. Zbl 1354.57003 Kauffman, Louis H. 2 2016 The unknotting problem. Zbl 1349.57001 Kauffman, Louis H. 2 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 Alexander-Conway polynomial state model and link homology. Zbl 1336.57010 Kauffman, Louis H.; Silvero, Marithania 1 2016 Iterants, fermions and Majorana operators. Zbl 1334.81035 Kauffman, Louis H. 1 2016 Virtual knot cobordism. Zbl 1322.57008 Kauffman, Louis Hirsch 15 2015 Rotational virtual knots and quantum link invariants. Zbl 1378.57020 Kauffman, Louis H. 7 2015 The delunification process and minimal diagrams. Zbl 1322.57012 Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 5 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 Chern-Simons theory, Vassiliev invariants, loop quantum gravity and functional integration without integration. Zbl 1337.81087 Kauffman, Louis H. 3 2015 Infinite computations and the generic finite. Zbl 1338.68083 Kauffman, Louis H. 3 2015 New ideas in low dimensional topology. Zbl 1314.57001 1 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 Parity biquandle. Zbl 1291.57009 Kaestner, Aaron; Kauffman, Louis H. 5 2014 Equivalence classes of colorings. Zbl 1316.57012 Ge, Jun; Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro 4 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. 50 2013 A linking number definition of the affine index polynomial and applications. Zbl 1320.57009 Folwaczny, Lena C.; Kauffman, Louis H. 23 2013 Knots and physics. 4th ed. Zbl 1266.57001 Kauffman, Louis H. 21 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. 39 2012 Hard unknots and collapsing tangles. Zbl 1259.57003 Kauffman, Louis H.; Lambropoulou, Sofia 8 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 Parity, skein polynomials and categorification. Zbl 1263.57009 Kaestner, Aaron M.; Kauffman, Louis H. 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 3 2012 Following knots down their energy gradients. Zbl 1351.57013 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. 1 2012 Khovanov homology. Zbl 1263.57010 Kauffman, Louis H. 1 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. 3 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. 63 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 5 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. 33 2008 On the minimum number of colors for knots. Zbl 1151.57008 Kauffman, Louis H.; Lopes, Pedro 18 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 Invariants of welded virtual knots via crossed module invariants of knotted surfaces. Zbl 1146.57004 Kauffman, Louis H.; Martins, João Faria 6 2008 The Fibonacci model and the Temperley-Lieb algebra. Zbl 1173.81305 Kauffman, Louis H.; Lomonaco, Samuel J. jun. 5 2008 ...and 156 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,203 Authors 129 Kauffman, Louis Hirsch 47 Manturov, Vassiliĭ Olegovich 41 Nelson, Sam 30 Stoimenow, Alexander 27 Xue, Kang 26 Jin, Xian’an 25 Morozov, Alexei Yurievich 24 Kamada, Naoko 23 Satoh, Shin 22 Im, Young Ho 22 Kamada, Seiichi 22 Saito, Masahico 21 Przytycki, Józef Henryk 19 Bardakov, Valeriĭ Georgievich 19 Lambropoulou, Sofia S. F. 18 Adams, Colin C. 17 Carter, J. Scott 17 Nakanishi, Yasutaka 17 Silver, Daniel S. 17 Sun, Chunfang 16 Dye, Heather Ann 16 Oh, Seungsang 16 Wang, Gangcheng 15 Chrisman, Micah Whitney 15 Kanenobu, Taizo 15 Le, Thang Tu Quoc 15 Lee, Sang Youl 15 Williams, Susan G. 15 Yasuhara, Akira 14 Diao, Yuanan 14 Jablan, Slavik Vlado 14 Jeong, Myeong-Ju 14 Kim, Sera 14 Mironov, Andrei D. 13 Gilmer, Patrick M. 13 Hu, Taotao 13 Jones, Vaughan Frederick Randal 13 Nakamura, Takuji 13 Traldi, Lorenzo 12 Boden, Hans U. 12 Elhamdadi, Mohamed 12 Ishii, Atsushi 12 Jaeger, François 12 Lee, Kyeonghui 12 Morozov, Andreĭ Alekseevich 11 Chbili, Nafaa 11 Cheng, Zhiyun 11 East, James 11 Garoufalidis, Stavros 11 Henrich, Allison K. 11 Lopes, Pedro 11 Sazdanović, Radmila 11 Vesnin, Andrei Yu. 11 Wada, Kodai 11 Zhang, Fuji 10 Caprau, Carmen Livia 10 Hajij, Mustafa 10 Kawauchi, Akio 10 Kim, Joonoh 10 Nikkuni, Ryo 10 Oshiro, Kanako 10 Patureau-Mirand, Bertrand 10 Radford, David E. 10 Turaev, Vladimir Georgievich 9 Bar-Natan, Dror 9 Ge, Molin 9 Geer, Nathan 9 Gügümcü, Neslihan 9 Il’yutko, Denis Petrovich 9 Lee, Hwa Jeong 9 Miyazawa, Yasuyuki 9 Ramadevi, Pichai 9 Takioka, Hideo 9 Tarkaev, Vladimir Viktorovich 9 van der Veen, Roland 9 Wang, Zhenghan 9 Zhang, Yong 8 Altintas, Ismet 8 Bartholomew, Andrew 8 De Wit, David 8 Frohman, Charles D. 8 Gelca, Răzvan 8 Khovanov, Mikhail G. 8 Lowrance, Adam M. 8 Masbaum, Gregor 8 Nasybullov, Timur Rinatovich 8 Neshchadim, Mikhail Vladimirovich 8 Nikonov, Igor Mikhailovich 8 Park, Chan-Young 8 Szabo, Zoltan 8 Tao, Zhixiong 7 Barrett, John William 7 Bataineh, Khaled 7 Bellingeri, Paolo 7 Deng, Qingying 7 Fenn, Roger A. 7 Ganzell, Sandy 7 Gao, Hongzhu 7 Hetyei, Gábor 7 Hoste, Jim ...and 2,103 more Authors all top 5 Cited in 318 Serials 628 Journal of Knot Theory and its Ramifications 152 Topology and its Applications 94 Algebraic & Geometric Topology 58 Communications in Mathematical Physics 46 Transactions of the American Mathematical Society 45 Journal of Mathematical Physics 45 Journal of Algebra 43 Proceedings of the American Mathematical Society 41 Advances in Mathematics 40 Journal of High Energy Physics 40 Quantum Information Processing 35 Journal of Pure and Applied Algebra 33 Nuclear Physics. 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English Series 4 Winter Braids Lecture Notes ...and 218 more Serials all top 5 Cited in 57 Fields 1,878 Manifolds and cell complexes (57-XX) 407 Quantum theory (81-XX) 270 Combinatorics (05-XX) 267 Group theory and generalizations (20-XX) 201 Associative rings and algebras (16-XX) 173 Nonassociative rings and algebras (17-XX) 133 Category theory; homological algebra (18-XX) 89 Statistical mechanics, structure of matter (82-XX) 83 Relativity and gravitational theory (83-XX) 73 Computer science (68-XX) 60 Differential geometry (53-XX) 50 Functional analysis (46-XX) 44 Global analysis, analysis on manifolds (58-XX) 44 Biology and other natural sciences (92-XX) 41 Dynamical systems and ergodic theory (37-XX) 39 Algebraic geometry (14-XX) 37 Algebraic topology (55-XX) 29 Number theory (11-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Several complex variables and analytic spaces (32-XX) 18 Mathematical logic and foundations (03-XX) 18 Information and communication theory, circuits (94-XX) 16 Topological groups, Lie groups (22-XX) 15 General and overarching topics; collections (00-XX) 15 History and biography (01-XX) 14 Geometry (51-XX) 13 Partial differential equations (35-XX) 13 Convex and discrete geometry (52-XX) 12 Commutative algebra (13-XX) 12 Numerical analysis (65-XX) 12 Mechanics of particles and systems (70-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Probability theory and stochastic processes (60-XX) 9 Measure and integration (28-XX) 9 Special functions (33-XX) 8 General algebraic systems (08-XX) 8 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 5 Difference and functional equations (39-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 General topology (54-XX) 2 \(K\)-theory (19-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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