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Kauffman, Louis Hirsch

Author ID: kauffman.louis-hirsch Recent zbMATH articles by "Kauffman, Louis Hirsch"
Published as: Kauffman, Louis H.; Kauffman, Louis; Kauffman, L. H.; Kauffman, Louis Hirsch; Kauffman, L.; Kauffmann, L. H.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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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
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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
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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

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 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
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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. B
28 Mathematical Proceedings of the Cambridge Philosophical Society
27 Geometry & Topology
23 Communications in Algebra
23 Osaka Journal of Mathematics
23 Quantum Topology
21 International Journal of Mathematics
20 Discrete Mathematics
19 Mathematische Annalen
18 International Journal of Theoretical Physics
18 Journal of Geometry and Physics
18 European Journal of Combinatorics
17 Mathematische Zeitschrift
17 Journal of Physics A: Mathematical and Theoretical
13 International Journal of Modern Physics A
13 Chaos, Solitons and Fractals
13 Journal of Combinatorial Theory. Series B
13 Journal of Mathematical Sciences (New York)
13 Journal of Mathematical Chemistry
11 Letters in Mathematical Physics
11 Fundamenta Mathematicae
11 Bulletin of the American Mathematical Society. New Series
10 Physics Letters. A
10 Acta Mathematica Vietnamica
10 Michigan Mathematical Journal
10 Tokyo Journal of Mathematics
10 Advances in Applied Mathematics
10 Experimental Mathematics
10 Journal of Algebraic Combinatorics
10 Doklady Mathematics
10 Mediterranean Journal of Mathematics
9 Discrete Applied Mathematics
9 Physics Letters. B
9 Duke Mathematical Journal
9 Inventiones Mathematicae
9 Involve
8 Annales de l’Institut Fourier
8 Journal of the Mathematical Society of Japan
8 Manuscripta Mathematica
8 Siberian Mathematical Journal
8 International Journal of Algebra and Computation
8 The Electronic Journal of Combinatorics
8 Journal of Algebra and its Applications
8 International Journal of Quantum Information
7 International Journal of General Systems
7 Theoretical and Mathematical Physics
7 The Mathematical Intelligencer
7 Applied Mathematics and Computation
7 Geometriae Dedicata
7 Selecta Mathematica. New Series
7 Algebras and Representation Theory
6 Bulletin of the London Mathematical Society
6 Compositio Mathematica
6 Physica D
6 Graphs and Combinatorics
6 Discrete & Computational Geometry
6 Annals of Physics
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 Mathematical Notes
5 Pacific Journal of Mathematics
5 Journal of Symbolic Computation
5 Expositiones Mathematicae
5 Combinatorics, Probability and Computing
5 New Journal of Physics
5 Communications in Contemporary Mathematics
5 Annales Henri Poincaré
5 Foundations of Physics
5 Oberwolfach Reports
5 Journal of Topology
4 Classical and Quantum Gravity
4 Journal of Statistical Physics
4 Physica A
4 Rocky Mountain Journal of Mathematics
4 Reviews in Mathematical Physics
4 Canadian Journal of Mathematics
4 Glasgow Mathematical Journal
4 Kybernetes
4 Transactions of the Moscow Mathematical Society
4 Bulletin of the Korean Mathematical Society
4 Chinese Annals of Mathematics. Series B
4 Linear Algebra and its Applications
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Nuclear Physics. B. Proceedings Supplements
4 Acta Mathematica Sinica. English Series
4 Winter Braids Lecture Notes
...and 218 more Serials
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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)

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