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Kauffman, Louis Hirsch

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Author ID: kauffman.louis-hirsch Recent zbMATH articles by "Kauffman, Louis Hirsch"
Published as: Kauffman, L.; Kauffman, L. H.; Kauffman, Louis; Kauffman, Louis H.; Kauffman, Louis Hirsch; Kauffmann, L.; Kauffmann, L. H.
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 318 Publications since 1972, including 28 Books
Biographic References: 4 Publications
all top 5

Co-Authors

129 single-authored
25 Lambropoulou, Sofia S. F.
20 Lomonaco, Samuel J. jun.
14 Lopes, Pedro
12 Radford, David E.
11 Manturov, Vassiliĭ Olegovich
9 Przytycki, Józef H.
8 Dye, Heather Ann
8 Jablan, Slavik Vlado
7 Sazdanović, Radmila
6 Gordon, Cameron McA.
4 Crane, Louis
4 Jin, Xian’an
4 Kawauchi, Akio
4 Saito, Masahico
4 Saleur, Hubert
4 Yetter, David N.
4 Zhang, Yong
3 Adams, Colin C.
3 Antoniou, Stathis
3 Birman, Joan S.
3 Carter, J. Scott
3 Fenn, Roger A.
3 Ge, Jun
3 Ge, Molin
3 Gügümcü, Neslihan
3 Henrich, Allison K.
3 Jin, Gyo Taek
3 Jones, Vaughan Frederick Randal
3 Kaestner, Aaron M.
3 Ko, Ki Hyoung
3 Levine, Jerome P.
3 Lins, Sóstenes L.
3 Matsumoto, Yukio
3 Radović, Ljiljana M.
2 Amoroso, Richard L.
2 Baadhio, Randy A.
2 Bilson-Thompson, Sundance O.
2 Brender McNair, Jytte
2 Dabkowski, Mieczysław K.
2 Dang, Yumei
2 De Wit, David
2 Deng, Qingying
2 Dennis, Lynnclaire
2 Eliahou, Shalom
2 Goldman, Jay R.
2 Hackett, Jonathan
2 Harary, Frank
2 Harizanov, Valentina S.
2 Hrencecin, David
2 Huang, Milana
2 Jordan, Steven L.
2 Links, Jon Robert
2 Magarshak, Yuri B.
2 Millett, Kenneth C.
2 Najdanović, Marija S.
2 Ogasa, Eiji
2 Ramakrishna, Viswanath
2 Rančić, Svetozar R.
2 Ricca, Renzo L.
2 Rowlands, Peter
2 Sabelli, Hector C.
2 Sawin, Stephen F.
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 Banchoff, Thomas F.
1 Bar-Natan, Dror
1 Bauer, Stefan Alois
1 Bhandari, Kumud
1 Chen, Goong
1 Cheng, Zhiyun
1 Chmutov, Sergei V.
1 Crowe, Donald W.
1 Darvas, György
1 Winitzky de Spinadel, Vera Martha
1 Durfee, Alan H.
1 Ellis-Monaghan, Joanna A.
1 Fahmy, Amr F.
1 Flapan, Erica
1 Folwaczny, Lena C.
1 Francis, George K.
1 Fulman, Jason E.
1 Glaser, Steffen J.
1 Goldsmith, Deborah Louise
1 Greszczuk, Robert P.
1 Grzeszczuk, Robert P.
1 Handler, Ivan
1 Hashemi Golpayegani, Seyed Mohammad Reza
1 Hsieh, Chun-Chung
1 Huylebrouck, Dirk
1 Il’yutko, Denis Petrovich
1 Jaeger, François
1 Jafari, Sajad
1 Jordan-Santana, Mercedes
1 Kamada, Seiichi
1 Kappraff, Jay
...and 46 more Co-Authors
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Serials

62 Journal of Knot Theory and its Ramifications
14 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 Cybernetics and Systems
3 International Journal of Modern Physics B
3 American Mathematical Monthly
3 Discrete Mathematics
3 Oberwolfach Reports
3 Symmetry
2 Communications in Algebra
2 Communications in Mathematical Physics
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 European Journal of Combinatorics
2 Bulgarian Journal of Physics
2 L’Enseignement Mathématique. 2e Série
2 Linear Algebra and its Applications
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 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 Systems Research
1 Physica D
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 The Australasian Journal of Combinatorics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Matemática Contemporânea
1 The Asian Journal of Mathematics
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
1 Quantum Topology
1 Molecular Based Mathematical Biology
all top 5

Fields

255 Manifolds and cell complexes (57-XX)
87 Quantum theory (81-XX)
35 General and overarching topics; collections (00-XX)
20 Combinatorics (05-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Group theory and generalizations (20-XX)
18 Computer science (68-XX)
17 Associative rings and algebras (16-XX)
17 Relativity and gravitational theory (83-XX)
14 Biology and other natural sciences (92-XX)
13 Nonassociative rings and algebras (17-XX)
10 Mathematical logic and foundations (03-XX)
8 Category theory; homological algebra (18-XX)
7 Number theory (11-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Information and communication theory, circuits (94-XX)
5 Differential geometry (53-XX)
5 Algebraic topology (55-XX)
4 Algebraic geometry (14-XX)
4 Measure and integration (28-XX)
4 Several complex variables and analytic spaces (32-XX)
3 History and biography (01-XX)
3 Topological groups, Lie groups (22-XX)
3 Difference and functional equations (39-XX)
3 Functional analysis (46-XX)
3 Geometry (51-XX)
3 Optics, electromagnetic theory (78-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Numerical analysis (65-XX)
2 Astronomy and astrophysics (85-XX)
2 Systems theory; control (93-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

223 Publications have been cited 3,532 times in 2,029 Documents Cited by Year
State models and the Jones polynomial. Zbl 0622.57004
Kauffman, Louis H.
446
1987
Virtual knot theory. Zbl 0938.57006
Kauffman, Louis H.
401
1999
An invariant of regular isotopy. Zbl 0763.57004
Kauffman, Louis H.
177
1990
Temperley-Lieb recoupling theory and invariants of 3-manifolds. Zbl 0821.57003
Kauffman, Louis H.; Lins, Sóstenes L.
163
1994
On knots. Zbl 0627.57002
Kauffman, Louis H.
116
1987
Knots and physics. Zbl 0733.57004
Kauffman, Louis H.
101
1991
Knots and physics. Zbl 0749.57002
Kauffman, L. H.
94
1989
New invariants in the theory of knots. Zbl 0657.57001
Kauffman, Louis H.
83
1988
Formal knot theory. Zbl 0537.57002
Kauffman, Louis H.
79
1983
A Tutte polynomial for signed graphs. Zbl 0698.05026
Kauffman, Louis H.
62
1989
Biquandles and virtual links. Zbl 1063.57006
Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis
61
2004
Invariants of graphs in three-space. Zbl 0672.57008
Kauffman, Louis H.
58
1989
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
45
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.
45
1993
Minimal surface representations of virtual knots and links. Zbl 1083.57007
Dye, H. A.; Kauffman, Louis H.
44
2005
Knots and physics. 3rd ed. Zbl 1057.57001
Kauffman, Louis H.
42
2001
On the classification of rational tangles. Zbl 1057.57006
Kauffman, Louis H.; Lambropoulou, Sofia
40
2004
Link polynomials and a graphical calculus. Zbl 0795.57001
Kauffman, Louis H.; Vogel, Pierre
40
1992
Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Zbl 0843.57007
Kauffman, Louis H.; Radford, David E.
38
1995
Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301
Harary, Frank; Kauffman, Louis H.
35
1999
State-sum invariants of 4-manifolds. Zbl 0883.57021
Crane, Louis; Kauffman, Louis H.; Yetter, David N.
35
1997
The Conway polynomial. Zbl 0456.57004
Kauffman, Louis H.
34
1981
Infinite families of links with trivial Jones polynomial. Zbl 1013.57005
Eliahou, Shalom; Kauffman, Louis H.; Thistlethwaite, Morwen B.
33
2003
A self-linking invariant of virtual knots. Zbl 1064.57004
Kauffman, Louis H.
31
2004
Free fermions and the Alexander-Conway polynomial. Zbl 0751.57004
Kauffman, L. H.; Saleur, H.
31
1991
Universal quantum gate, Yang – Baxterization and Hamiltonian. Zbl 1090.81023
Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin
30
2005
Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links. Zbl 1031.57009
Kauffman, Louis H.; Radford, David
30
2003
Rational tangles. Zbl 0871.57002
Goldman, Jay R.; Kauffman, Louis H.
29
1997
Quantum knots and mosaics. Zbl 1144.81013
Lomonaco, Samuel J.; Kauffman, Louis H.
28
2008
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
28
2005
Virtual biquandles. Zbl 1088.57006
Kauffman, Louis H.; Manturov, Vassily O.
27
2005
Signature of links. Zbl 0322.55003
Kauffman, Louis H.; Taylor, Laurence R.
27
1976
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
26
2006
Virtual braids. Zbl 1068.57006
Kauffman, Louis H.; Lambropoulou, Sofia
26
2004
Gauss codes, quantum groups and ribbon Hopf algebras. Zbl 0803.57001
Kauffman, Louis H.
26
1993
An affine index polynomial invariant of virtual knots. Zbl 1271.57040
Kauffman, Louis H.
25
2013
The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation. Zbl 0802.57003
Jaeger, François; Kauffman, L. H.; Saleur, H.
25
1994
Universal quantum gates. Zbl 1130.81028
Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin
24
2005
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
23
2012
Knots, tangles, and electrical networks. Zbl 0806.57002
Goldman, Jay R.; Kauffman, Louis H.
18
1993
On the minimum number of colors for knots. Zbl 1151.57008
Kauffman, Louis H.; Lopes, Pedro
17
2008
\(q\)-deformed spin networks, knot polynomials and anyonic topological quantum computation. Zbl 1133.57007
Kauffman, Louis H.; Lomonaco, Samuel J. jun.
17
2007
On filamentations and virtual knots. Zbl 1031.57008
Hrencecin, David; Kauffman, Louis H.
17
2003
Detecting virtual knots. Zbl 1072.57004
Kauffman, Louis H.
16
2001
On the Links-Gould invariant of links. Zbl 0934.57005
de Wit, David; Links, Jon R.; Kauffman, Louis H.
16
1999
Products of knots, branched fibrations and sums of singularities. Zbl 0447.57012
Kauffman, Louis H.; Neumann, Walter D.
16
1977
Knots and physics. 4th ed. Zbl 1266.57001
Kauffman, Louis H.
15
2013
An extended bracket polynomial for virtual knots and links. Zbl 1192.57006
Kauffman, Louis H.
15
2009
On the classification of rational knots. Zbl 1059.57004
Kauffman, Louis H.; Lambropoulou, Sofia
15
2003
Map coloring and the vector cross product. Zbl 0638.05025
Kauffman, Louis H.
15
1990
Branched coverings, open books and knot periodicity. Zbl 0283.57011
Kauffman, Louis H.
15
1974
Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012
Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.
14
2017
Virtual knots and links. Zbl 1351.57012
Kauffman, L. H.; Manturov, V. O.
14
2006
Ideal knots. Zbl 0915.00018
Stasiak, A. (ed.); Katritch, V. (ed.); Kauffman, L. H. (ed.)
14
1998
A linking number definition of the affine index polynomial and applications. Zbl 1320.57009
Folwaczny, Lena C.; Kauffman, Louis H.
12
2013
Knot diagrammatics. Zbl 1098.57005
Kauffman, Louis H.
12
2005
Knots and physics. 2nd ed. Zbl 0868.57001
Kauffman, Louis H.
12
1994
Periodicity of branched cyclic covers. Zbl 0296.55001
Durfee, Alan; Kauffman, Louis
12
1975
Oriented quantum algebras, categories and invariants of knots and links. Zbl 1008.57010
Kauffman, Louis; Radford, David E.
11
2001
Structures and diagrammatics of four dimensional topological lattice field theories. Zbl 0938.57014
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
11
1999
Invariants of theta-curves and other graphs in 3-space. Zbl 0779.57003
Kauffman, Louis; Simon, Jonathan; Wolcott, Keith; Zhao, Peiyi
11
1993
Spin networks and knot polynomials. Zbl 0708.57003
Kauffman, Louis H.
11
1990
Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics. Zbl 0867.58029
Kauffman, Louis H.; Noyes, H. Pierre
10
1996
On two categorifications of the arrow polynomial for virtual knots. Zbl 1221.57016
Dye, Heather Ann; Kauffman, Louis Hirsch; Manturov, Vassily Olegovich
9
2011
Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant. Zbl 1089.57009
Dye, H. A.; Kauffman, Louis H.
9
2005
A survey of virtual knot theory. Zbl 1054.57001
Kauffman, Louis H.
9
2000
Statistical mechanics and the Jones polynomial. Zbl 0664.57002
Kauffman, Louis H.
9
1988
Virtual knot cobordism. Zbl 1322.57008
Kauffman, Louis Hirsch
8
2015
Lune-free knot graphs. Zbl 1221.57003
Eliahou, Shalom; Harary, Frank; Kauffman, Louis H.
8
2008
Biquandles for virtual knots. Zbl 1161.57004
Hrencecin, David; Kauffman, Louis H.
8
2007
Quantum computing and the Jones polynomial. Zbl 1063.81032
Kauffman, Louis H.
8
2002
Oriented quantum algebras and invariants of knots and links. Zbl 1002.16037
Kauffman, Louis H.; Radford, David E.
8
2001
Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots. Zbl 0973.16022
Kauffman, Louis; Radford, David E.
8
2000
Knots and physics. Zbl 0782.57004
Kauffman, Louis H.
8
1992
New invariants of knotoids. Zbl 1373.57012
Gügümcü, Neslihan; Kauffman, Louis H.
7
2017
A graphical construction of the sl(3) invariant for virtual knots. Zbl 1326.57018
Kauffman, Louis H.; Manturov, Vassily O.
7
2014
Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks. Zbl 1214.81056
Lomonaco, Samuel J.; Kauffman, Louis H.
7
2010
Permutation and its partial transpose. Zbl 1407.81051
Zhang, Yong; Kauffman, Louis H.; Werner, Reinhard F.
7
2007
Classifying and applying rational knots and rational tangles. Zbl 1014.57009
Kauffman, Louis H.; Lambropoulou, Sofia
7
2002
Knots and applications. Zbl 0838.00015
Kauffman, Louis H. (ed.)
7
1995
An algebraic approach to the planar coloring problem. Zbl 0769.05039
Kauffmann, L. H.; Saleur, H.
7
1993
State models for link polynomials. Zbl 0711.57003
Kauffman, Louis H.
7
1990
Knot logic and topological quantum computing with Majorana fermions. Zbl 1355.81059
Kauffman, Louis H.
6
2016
A polynomial invariant for flat virtual links. Zbl 1147.57017
Kauffman, Louis H.; Richter, R. Bruce
6
2008
Quantum algebra structures on \(n\times n\) matrices. Zbl 0926.16035
Kauffman, Louis H.; Radford, David E.
6
1999
Noncommutativity and discrete physics. Zbl 1040.81529
Kauffman, Louis H.
6
1998
Fourier knots. Zbl 0947.57007
Kauffman, Louis H.
6
1998
Computing Turaev-Viro invariants for 3-manifolds. Zbl 0725.57008
Kauffman, Louis H.; Lins, Sóstenes
6
1991
Virtual knot cobordism and the affine index polynomial. Zbl 1436.57007
Kauffman, Louis H.
5
2018
The delunification process and minimal diagrams. Zbl 1322.57012
Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro
5
2015
Equivalence classes of colorings. Zbl 1316.57012
Ge, Jun; Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro
5
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.
5
2014
The Teneva game. Zbl 1279.57010
Kauffman, Louis H.; Lopes, Pedro
5
2012
Hard unknots and collapsing tangles. Zbl 1259.57003
Kauffman, Louis H.; Lambropoulou, Sofia
5
2012
Hypercomplex iterations. Distance estimation and higher dimensional fractals. Zbl 1043.28005
Dang, Yumei; Kauffman, Louis H.; Sandin, Daniel
5
2002
Centrality and the KRH invariant. Zbl 0927.57005
Kauffman, Louis H.; Radford, David; Sawin, Stephen
5
1998
Diagrammatics, singularities, and their algebraic interpretations. Zbl 0930.57001
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
5
1997
Functional integration and the theory of knots. Zbl 0859.57008
Kauffman, Louis H.
5
1995
Evaluating the Crane-Yetter invariant. Zbl 0841.57029
Crane, Louis; Kauffman, Louis H.; Yetter, David
5
1993
Planar surface immersions. Zbl 0425.57007
Kauffman, Louis H.
5
1979
Topological surgery in the small and in the large. Zbl 1423.57006
Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia
1
2019
A survey on knotoids, braidoids and their applications. Zbl 1423.57027
Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia
1
2019
The generalized Yamada polynomials of virtual spatial graphs. Zbl 1411.57024
Deng, Qingying; Jin, Xian’an; Kauffman, Louis H.
1
2019
Virtual knot cobordism and the affine index polynomial. Zbl 1436.57007
Kauffman, Louis H.
5
2018
Graphical virtual links and a polynomial for signed cyclic graphs. Zbl 1402.57008
Deng, Qingying; Jin, Xian’an; Kauffman, Louis H.
1
2018
Colorings beyond Fox: the other linear Alexander quandles. Zbl 1393.57013
Kauffman, Louis H.; Lopes, Pedro
1
2018
Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots. Zbl 1380.57012
Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.
14
2017
New invariants of knotoids. Zbl 1373.57012
Gügümcü, Neslihan; Kauffman, Louis H.
7
2017
Skein invariants of links and their state sum models. Zbl 1423.57030
Kauffman, Louis H.; Lambropoulou, Sofia
3
2017
Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs. Zbl 1386.57018
Henrich, Allison; Kauffman, Louis H.
2
2017
On the height of knotoids. Zbl 1383.57007
Gügümcü, Neslihan; Kauffman, Louis H.
2
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
2
2017
Infinitely many prime knots with the same Alexander invariants. Zbl 1373.57032
Kauffman, Louis H.; Lopes, Pedro
1
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.
6
2016
A state calculus for graph coloring. Zbl 1365.05090
Kauffman, Louis H.
2
2016
Knot theory. Zbl 1354.57002
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
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
Virtual knot cobordism. Zbl 1322.57008
Kauffman, Louis Hirsch
8
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
3
2015
Infinite computations and the generic finite. Zbl 1338.68083
Kauffman, Louis H.
2
2015
Rotational virtual knots and quantum link invariants. Zbl 1378.57020
Kauffman, Louis H.
1
2015
New ideas in low dimensional topology. Zbl 1314.57001
Kauffman, Louis H. (ed.); Manturov, V. O. (ed.)
1
2015
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
Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010
Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O.
5
2014
Parity biquandle. Zbl 1291.57009
Kaestner, Aaron; Kauffman, Louis H.
3
2014
Local moves on knots and products of knots. Zbl 1320.57025
Kauffman, Louis H.; Ogasa, Eiji
2
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.
25
2013
Knots and physics. 4th ed. Zbl 1266.57001
Kauffman, Louis H.
15
2013
A linking number definition of the affine index polynomial and applications. Zbl 1320.57009
Folwaczny, Lena C.; Kauffman, Louis H.
12
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
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
A note on amphicheiral alternating links. Zbl 1259.05082
Kauffman, Louis H.; Jablan, Slavik V.
1
2013
Introduction to virtual knot theory. Zbl 1255.57005
Kauffman, Louis H.
23
2012
The Teneva game. Zbl 1279.57010
Kauffman, Louis H.; Lopes, Pedro
5
2012
Hard unknots and collapsing tangles. Zbl 1259.57003
Kauffman, Louis H.; Lambropoulou, Sofia
5
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.
4
2012
Parity, skein polynomials and categorification. Zbl 1263.57009
Kaestner, Aaron M.; Kauffman, Louis H.
4
2012
Following knots down their energy gradients. Zbl 1351.57013
Kauffman, Louis H.
2
2012
Emergent braided matter of quantum geometry. Zbl 1242.83034
Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis; Wan, Yidun
2
2012
A categorical model for the virtual braid group. Zbl 1264.57004
Kauffman, Louis H.; Lambropoulou, Sofia
1
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
Kauffman, Louis H. (ed.); Lambropoulou, Sofia (ed.); Jablan, Slavik (ed.); Przytycki, Jozef H. (ed.)
1
2012
On two categorifications of the arrow polynomial for virtual knots. Zbl 1221.57016
Dye, Heather Ann; Kauffman, Louis Hirsch; Manturov, Vassily Olegovich
9
2011
A categorical structure for the virtual braid group. Zbl 1244.57026
Kauffman, Louis H.; Lambropoulou, Sofia
4
2011
Oriented quantum algebras and coalgebras, invariants of oriented \(1-1\) tangles, knots and links. Zbl 1218.81057
Kauffman, Louis; Radford, David E.
2
2011
Topological quantum information, Khovanov homology and the Jones polynomial. Zbl 1231.57008
Kauffman, Louis H.
2
2011
Lower bounds on virtual crossing number and minimal surface genus. Zbl 1221.57001
Bhandari, Kumud; Dye, H. A.; Kauffman, Louis H.
2
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.
7
2010
Quantum knots and mosaics. Zbl 1214.81055
Lomonaco, Samuel J.; Kauffman, Louis H.
2
2010
Topological quantum information theory. Zbl 1216.81039
Kauffman, Louis H.; Lomonaco, Samuel J. jun.
1
2010
Virtual homotopy. Zbl 1246.57023
Dye, H. A.; Kauffman, Louis H.
1
2010
Virtual crossing number and the arrow polynomial. Zbl 1195.57028
Dye, H. A.; Kauffman, Louis H.
45
2009
An extended bracket polynomial for virtual knots and links. Zbl 1192.57006
Kauffman, Louis H.
15
2009
Determinants of rational knots. Zbl 1207.57020
Kauffman, Louis; Lopes, Pedro
4
2009
Particle topology, braids, and braided belts. Zbl 1304.81150
Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis H.
2
2009
Tangles, rational knots and DNA. Zbl 1305.57014
Kauffman, Louis H.; Lambropoulou, Sofia
1
2009
Topology and quantum computing. Zbl 1165.81016
Kauffman, L. H.; Lomonaco, S. J.
1
2009
Quantum knots and mosaics. Zbl 1144.81013
Lomonaco, Samuel J.; Kauffman, Louis H.
28
2008
On the minimum number of colors for knots. Zbl 1151.57008
Kauffman, Louis H.; Lopes, Pedro
17
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
6
2008
The Fibonacci model and the Temperley-Lieb algebra. Zbl 1173.81305
Kauffman, Louis H.; Lomonaco, Samuel J. jun.
4
2008
Invariants of welded virtual knots via crossed module invariants of knotted surfaces. Zbl 1146.57004
Kauffman, Louis H.; Martins, João Faria
4
2008
Spin networks and quantum computation. Zbl 1202.81023
Kauffman, L. H.; Lomonaco, S. J. jun.
1
2008
Spin networks and quantum computation. Zbl 1202.81024
Kauffman, Louis H.; Lomonaco, S. J. jun.
1
2008
Topological-like features in diagrammatical quantum circuits. Zbl 1192.81115
Zhang, Yong; Kauffman, Louis H.
1
2008
\(q\)-deformed spin networks, knot polynomials and anyonic topological quantum computation. Zbl 1133.57007
Kauffman, Louis H.; Lomonaco, Samuel J. jun.
17
2007
Biquandles for virtual knots. Zbl 1161.57004
Hrencecin, David; Kauffman, Louis H.
8
2007
Permutation and its partial transpose. Zbl 1407.81051
Zhang, Yong; Kauffman, Louis H.; Werner, Reinhard F.
7
2007
The \(L\)-move and virtual braids. Zbl 1139.57005
Kauffman, Louis; Lambropoulou, Sofia
3
2007
Quantum topology and quantum information. Zbl 1151.57300
Kauffman, Louis
3
2007
Is Grover’s algorithm a quantum hidden subgroup algorithm? Zbl 1137.81006
Lomonaco, Samuel J.; Kauffman, Louis H.
2
2007
SPIN networks, quantum topology and quantum computation. Zbl 1213.68264
Kauffman, Louis H.; Lomonaco, Samuel J. jun.
1
2007
State models for knot polynomials: an introduction. Zbl 1139.57015
Kauffman, Louis H.
1
2007
Hopf algebras and generalizations. AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology, Evanston, IL, USA, October 23–24, 2004. Zbl 1124.16001
Kauffman, Louis H. (ed.); Radford, David E. (ed.); Souza, Fernando J. O. (ed.)
1
2007
Virtual braids and the \(L\)-move. Zbl 1105.57002
Kauffman, Louis H.; Lambropoulou, Sofia
26
2006
Virtual knots and links. Zbl 1351.57012
Kauffman, L. H.; Manturov, V. O.
14
2006
Unknots and molecular biology. Zbl 1214.57011
Kauffman, Louis H.; Lambropoulou, Sofia
3
2006
Glafka-2004: non-commutative worlds. Zbl 1153.81506
Kauffman, Louis H.
1
2006
Knot theory and a physical state of quantum gravity. Zbl 1098.83003
Liko, Tomás; Kauffman, Louis H.
1
2006
Minimal surface representations of virtual knots and links. Zbl 1083.57007
Dye, H. A.; Kauffman, Louis H.
44
2005
Universal quantum gate, Yang – Baxterization and Hamiltonian. Zbl 1090.81023
Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin
30
2005
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
28
2005
Virtual biquandles. Zbl 1088.57006
Kauffman, Louis H.; Manturov, Vassily O.
27
2005
Universal quantum gates. Zbl 1130.81028
Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin
24
2005
Knot diagrammatics. Zbl 1098.57005
Kauffman, Louis H.
12
2005
Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant. Zbl 1089.57009
Dye, H. A.; Kauffman, Louis H.
9
2005
Minimal flat knotted ribbons. Zbl 1094.57009
Kauffman, Louis H.
2
2005
A continuous variable Shor algorithm. Zbl 1085.81029
Lomonaco, Samuel J. jun.; Kauffman, Louis H.
2
2005
Eigenform. Zbl 1073.03003
Kauffman, Louis H.
2
2005
...and 123 more Documents
all top 5

Cited by 1,857 Authors

109 Kauffman, Louis Hirsch
42 Manturov, Vassiliĭ Olegovich
38 Nelson, Sam
30 Stoimenow, Alexander
27 Xue, Kang
24 Jin, Xian’an
22 Morozov, Alexei Yurievich
21 Im, Young Ho
20 Kamada, Naoko
20 Saito, Masahico
19 Kamada, Seiichi
19 Satoh, Shin
18 Przytycki, Józef H.
17 Carter, J. Scott
16 Silver, Daniel S.
16 Sun, Chunfang
16 Wang, Gangcheng
14 Dye, Heather Ann
14 Jablan, Slavik Vlado
14 Lambropoulou, Sofia S. F.
14 Lee, Sang Youl
14 Mironov, Andrei D.
14 Nakanishi, Yasutaka
14 Williams, Susan G.
13 Bardakov, Valeriĭ Georgievich
13 Gilmer, Patrick M.
13 Hu, Taotao
13 Kanenobu, Taizo
13 Lopes, Pedro
13 Oh, Seungsang
12 Adams, Colin C.
12 Chrisman, Micah Whitney
12 Diao, Yuanan
12 Jaeger, François
12 Traldi, Lorenzo
12 Yasuhara, Akira
11 Henrich, Allison K.
11 Ishii, Atsushi
11 Jones, Vaughan Frederick Randal
11 Kim, Sera
11 Sazdanović, Radmila
10 Chbili, Nafaa
10 Elhamdadi, Mohamed
10 Garoufalidis, Stavros
10 Ge, Molin
10 Jeong, Myeong-Ju
10 Le, Thang Tu Quoc
10 Lee, Kyeonghui
10 Morozov, Andreĭ Alekseevich
10 Nakamura, Takuji
10 Nikkuni, Ryo
10 Radford, David E.
10 Ramadevi, Pichai
10 Turaev, Vladimir G.
10 Zhang, Fuji
9 Cheng, Zhiyun
9 Hajij, Mustafa
9 Il’yutko, Denis Petrovich
9 Kawauchi, Akio
9 Wang, Zhenghan
9 Zhang, Yong
8 Caprau, Carmen Livia
8 De Wit, David
8 Frohman, Charles D.
8 Kim, Joonoh
8 Masbaum, Gregor
8 Oshiro, Kanako
8 Park, Chan-Young
8 Patureau-Mirand, Bertrand
8 Tao, Zhixiong
7 Bar-Natan, Dror
7 Barrett, John William
7 Fenn, Roger A.
7 Geer, Nathan
7 Hetyei, Gábor
7 Kuperberg, Gregory John
7 Lee, Hwa Jeong
7 Links, Jon Robert
7 Lowrance, Adam M.
7 Miyazawa, Yasuyuki
7 Moffatt, Iain
7 Murakami, Jun
7 Neshchadim, Mikhail Vladimirovich
7 Vesnin, Andrei Yu.
7 Zhou, Chengcheng
6 Chen, Huixiang
6 Dasbach, Oliver T.
6 Došen, Kosta
6 Gao, Hongzhu
6 Gelca, Răzvan
6 Hong, Kyungpyo
6 Hoste, Jim
6 Ito, Noboru
6 Kania-Bartoszyńska, Joanna
6 Kaur, Kirandeep
6 Khovanov, Mikhail G.
6 Lei, Fengchun
6 Lins, Sóstenes L.
6 Murakami, Hitoshi
6 Ozsváth, Peter Steven
...and 1,757 more Authors
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Cited in 251 Serials

519 Journal of Knot Theory and its Ramifications
139 Topology and its Applications
74 Algebraic & Geometric Topology
49 Communications in Mathematical Physics
45 Transactions of the American Mathematical Society
44 Proceedings of the American Mathematical Society
41 Journal of Mathematical Physics
40 Journal of Algebra
37 Advances in Mathematics
35 Quantum Information Processing
30 Journal of High Energy Physics
28 Nuclear Physics. B
28 Journal of Pure and Applied Algebra
25 Mathematical Proceedings of the Cambridge Philosophical Society
23 Geometry & Topology
22 Communications in Algebra
20 Discrete Mathematics
18 Mathematische Annalen
18 International Journal of Mathematics
17 Journal of Geometry and Physics
17 European Journal of Combinatorics
16 International Journal of Theoretical Physics
16 Mathematische Zeitschrift
16 Osaka Journal of Mathematics
15 Quantum Topology
13 Journal of Combinatorial Theory. Series B
13 Journal of Mathematical Sciences (New York)
13 Journal of Mathematical Chemistry
12 International Journal of Modern Physics A
12 Chaos, Solitons and Fractals
10 Physics Letters. A
10 Fundamenta Mathematicae
10 Advances in Applied Mathematics
10 Doklady Mathematics
9 Discrete Applied Mathematics
9 Letters in Mathematical Physics
9 Applied Mathematics and Computation
9 Duke Mathematical Journal
9 Journal of Algebraic Combinatorics
8 Inventiones Mathematicae
8 Annals of Physics
7 International Journal of General Systems
7 Annales de l’Institut Fourier
7 Siberian Mathematical Journal
7 Tokyo Journal of Mathematics
7 International Journal of Algebra and Computation
7 Bulletin of the American Mathematical Society. New Series
7 Experimental Mathematics
7 International Journal of Quantum Information
7 Journal of Physics A: Mathematical and Theoretical
6 The Mathematical Intelligencer
6 Acta Mathematica Vietnamica
6 Compositio Mathematica
6 Geometriae Dedicata
6 Journal of the Mathematical Society of Japan
6 Manuscripta Mathematica
6 Physica D
6 Proceedings of the Steklov Institute of Mathematics
5 International Journal of Modern Physics B
5 Bulletin of the Australian Mathematical Society
5 Physics Letters. B
5 Theoretical and Mathematical Physics
5 Michigan Mathematical Journal
5 Graphs and Combinatorics
5 Journal of Symbolic Computation
5 Discrete & Computational Geometry
5 Expositiones Mathematicae
5 Combinatorics, Probability and Computing
5 Annales Henri Poincaré
5 Foundations of Physics
5 Involve
4 International Journal of Engineering Science
4 Journal of Statistical Physics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Kybernetes
4 Transactions of the Moscow 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 The Electronic Journal of Combinatorics
4 Selecta Mathematica. New Series
4 Algebras and Representation Theory
4 New Journal of Physics
4 Communications in Contemporary Mathematics
4 Journal of Algebra and its Applications
4 Mediterranean Journal of Mathematics
3 American Mathematical Monthly
3 Classical and Quantum Gravity
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 Journal of Mathematical Biology
3 Mathematics of Computation
3 Reviews in Mathematical Physics
3 Archiv der Mathematik
3 Functional Analysis and its Applications
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Journal of Functional Analysis
...and 151 more Serials
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Cited in 56 Fields

1,535 Manifolds and cell complexes (57-XX)
336 Quantum theory (81-XX)
243 Combinatorics (05-XX)
203 Group theory and generalizations (20-XX)
160 Associative rings and algebras (16-XX)
141 Nonassociative rings and algebras (17-XX)
93 Category theory; homological algebra (18-XX)
72 Statistical mechanics, structure of matter (82-XX)
70 Relativity and gravitational theory (83-XX)
52 Computer science (68-XX)
50 Differential geometry (53-XX)
41 Global analysis, analysis on manifolds (58-XX)
39 Functional analysis (46-XX)
38 Biology and other natural sciences (92-XX)
35 Algebraic topology (55-XX)
32 Dynamical systems and ergodic theory (37-XX)
28 Algebraic geometry (14-XX)
22 Number theory (11-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Topological groups, Lie groups (22-XX)
15 Information and communication theory, circuits (94-XX)
14 Mathematical logic and foundations (03-XX)
14 Several complex variables and analytic spaces (32-XX)
12 Convex and discrete geometry (52-XX)
11 Geometry (51-XX)
11 Mechanics of particles and systems (70-XX)
10 General and overarching topics; collections (00-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Probability theory and stochastic processes (60-XX)
9 Numerical analysis (65-XX)
8 General algebraic systems (08-XX)
8 Commutative algebra (13-XX)
8 Partial differential equations (35-XX)
8 Systems theory; control (93-XX)
7 Mechanics of deformable solids (74-XX)
6 History and biography (01-XX)
5 Measure and integration (28-XX)
5 Fluid mechanics (76-XX)
4 Ordinary differential equations (34-XX)
4 Difference and functional equations (39-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Statistics (62-XX)
4 Optics, electromagnetic theory (78-XX)
3 Field theory and polynomials (12-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Operator theory (47-XX)
3 General topology (54-XX)
2 Functions of a complex variable (30-XX)
2 Abstract harmonic analysis (43-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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