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Lickorish, William Bernard Raymond

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Author ID: lickorish.william-bernard-raymond Recent zbMATH articles by "Lickorish, William Bernard Raymond"
Published as: Lickorish, W. B. R.; Lickorish, W. B. Raymond; Lickorish, William B. R.; Raymond Lickorish, W. B.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 62 Publications since 1962, including 1 Book
1 Further Contribution
Co-Authors: 20 Co-Authors with 21 Joint Publications
414 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 1,805 times in 1,299 Documents Cited by Year
A new polynomial invariant of knots and links. Zbl 0572.57002
Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A.
364
1985
An introduction to knot theory. Zbl 0886.57001
Lickorish, W. B. Raymond
223
1997
A representation of orientable combinatorial 3-manifolds. Zbl 0106.37102
Lickorish, W. B. R.
166
1962
A polynomial invariant of oriented links. Zbl 0608.57009
Lickorish, W. B. R.; Millett, Kenneth C.
144
1987
A finite set of generators for the homeotopy group of a 2-manifold. Zbl 0131.20801
Lickorish, W. B. R.
93
1964
Some links with non-trivial polynomials and their crossing-numbers. Zbl 0686.57002
Lickorish, W. B. R.; Thistlethwaite, M. B.
77
1988
A polynomial invariant for unoriented knots and links. Zbl 0595.57009
Brandt, Robert D.; Lickorish, W. B. R.; Millett, Kenneth C.
73
1986
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
50
1993
Homeomorphisms of non-orientable two-manifolds. Zbl 0115.40801
Lickorish, W. B. R.
49
1963
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
44
1986
Polynomials for links. Zbl 0685.57001
Lickorish, W. B. R.
43
1988
Prime knots and tangles. Zbl 0472.57004
Lickorish, W. B. Raymond
33
1981
Simplicial moves on complexes and manifolds. Zbl 0963.57013
Lickorish, W. B. R.
33
1999
Unknotting information from 4-manifolds. Zbl 0643.57006
Cochran, T. D.; Lickorish, W. B. R.
31
1986
Three-manifolds and the Temperley-Lieb algebra. Zbl 0739.57004
Lickorish, W. B. R.
31
1991
Piecewise linear manifolds and Cerf theory. Zbl 0889.57032
Lickorish, W. B. R.
27
1997
Unshellable triangulations of spheres. Zbl 0746.57007
Lickorish, W. B. R.
25
1991
Calculations with the Temperley-Lieb algebra. Zbl 0779.57008
Lickorish, W. B. R.
23
1992
Prime knots and concordance. Zbl 0426.57001
Kirby, Robion C.; Lickorish, W. B. Raymond
22
1979
Invariants for 3-manifolds from the combinatorics of the Jones polynomial. Zbl 0728.57011
Lickorish, W. B. R.
21
1991
On the homeomorphisms of a non-orientable surface. Zbl 0131.20802
Lickorish, W. B. R.
19
1965
The piecewise linear unknotting of cones. Zbl 0138.19003
Lickorish, W. B. R.
17
1965
The new polynomial invariants of knots and links. Zbl 0651.57004
Lickorish, W. B. R.; Millett, K. C.
14
1988
The unknotting number of a classical knot. Zbl 0607.57002
Lickorish, W. B. Raymond
14
1985
A foliation for 3-manifolds. Zbl 0142.41104
Lickorish, W. B. R.
14
1965
On the homeotopy group of a 2-manifold (corrigendum). Zbl 0145.44102
Lickorish, W. B. R.
13
1966
A relationship between link polynomials. Zbl 0603.57005
Lickorish, W. B. R.
12
1986
Unknotting by adding a twisted band. Zbl 0608.57007
Lickorish, W. B. R.
12
1986
Piecewise linear critical levels and collapsing. Zbl 0248.57007
Kearton, C.; Lickorish, W. B. R.
11
1972
The reversing result for the Jones polynomial. Zbl 0553.57001
Lickorish, W. B. R.; Millett, K. C.
11
1986
Skeins and handlebodies. Zbl 0805.57010
Lickorish, W. B. R.
10
1993
Some link-polynomial relations. Zbl 0663.57005
Lickorish, W. B. R.
8
1989
Regular neighbourhoods and the stable range. Zbl 0195.53801
Lickorish, W. B. R.; Siebenmann, L. C.
7
1969
Polynomials of 2-cable-like links. Zbl 0617.57004
Lickorish, W. B. R.; Lipson, A. S.
6
1987
Triangulations of the 3-ball with knotted spanning 1-simplexes and collapsible r-th derived subdivisions. Zbl 0182.26302
Lickorish, W. B. R.; Martin, J. M.
6
1969
Quantum invariants of 3-manifolds. Zbl 0987.57001
Lickorish, W. B. Raymond
6
2002
Distinct 3-manifolds with all SU\((2)_ q\) invariants the same. Zbl 0770.57003
Lickorish, W. B. R.
6
1993
Mutations of links in genus 2 handlebodies. Zbl 0905.57004
Cooper, D.; Lickorish, W. B. R.
6
1999
Linear skein theory and link polynomials. Zbl 0638.57005
Lickorish, W. B. R.
5
1987
Surgery on knots. Zbl 0345.57002
Lickorish, W. B. Raymond
5
1977
An unsplittable triangulation. Zbl 0216.20103
Lickorish, W. B. R.
4
1971
The panorama of polynomials for knots, links and skeins. Zbl 0703.57007
Lickorish, W. B. R.
4
1988
Extending piecewise linear concordances. Zbl 0219.57011
Hudson, J. F. P.; Lickorish, W. B. R.
3
1971
Sampling the \(SU(N)\) invariants of three-manifolds. Zbl 0881.57004
Lickorish, W. B. R.
3
1997
An evaluation of the F-polynomial of a link. Zbl 0655.57004
Lickorish, W. B. R.; Millett, K. C.
2
1988
An improbable collapse. Zbl 0258.57002
Lickorish, W. B. R.
2
1973
Splittings of \(\mathbb S^4\). Zbl 1103.57006
Lickorish, W. B. Raymond
2
2004
Knotted contractible 4-manifolds in \(S^4\). Zbl 1052.57032
Lickorish, W. B. R.
2
2003
What is \(\ldots \) a skein module? Zbl 1155.57306
Lickorish, W. B. Raymond
2
2009
Shake-slice knots. Zbl 0409.57004
Lickorish, W. B. Raymond
2
1979
The irreducibility of the 3-sphere. Zbl 0695.57007
Lickorish, W. B. R.
1
1989
On derivatives of link polynomials. Zbl 0927.57008
Lickorish, W. B. R.; Rong, Y.
1
1998
Skeins, \(SU(N)\) three-manifold invariants and TQFT. Zbl 0976.57011
Lickorish, W. B. R.
1
2000
On the equivalent spines problem. Zbl 0893.57013
Cavicchioli, A.; Lickorish, W. B. R.; Repovš, D.
1
1997
On collapsing \(X^2 \times I\). Zbl 0282.55001
Lickorish, W. B. R.
1
1971
Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras. Zbl 1492.57003
Chlouveraki, Maria; Juyumaya, Jesús; Karvounis, Konstantinos; Lambropoulou, Sofia
1
2020
Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras. Zbl 1492.57003
Chlouveraki, Maria; Juyumaya, Jesús; Karvounis, Konstantinos; Lambropoulou, Sofia
1
2020
What is \(\ldots \) a skein module? Zbl 1155.57306
Lickorish, W. B. Raymond
2
2009
Splittings of \(\mathbb S^4\). Zbl 1103.57006
Lickorish, W. B. Raymond
2
2004
Knotted contractible 4-manifolds in \(S^4\). Zbl 1052.57032
Lickorish, W. B. R.
2
2003
Quantum invariants of 3-manifolds. Zbl 0987.57001
Lickorish, W. B. Raymond
6
2002
Skeins, \(SU(N)\) three-manifold invariants and TQFT. Zbl 0976.57011
Lickorish, W. B. R.
1
2000
Simplicial moves on complexes and manifolds. Zbl 0963.57013
Lickorish, W. B. R.
33
1999
Mutations of links in genus 2 handlebodies. Zbl 0905.57004
Cooper, D.; Lickorish, W. B. R.
6
1999
On derivatives of link polynomials. Zbl 0927.57008
Lickorish, W. B. R.; Rong, Y.
1
1998
An introduction to knot theory. Zbl 0886.57001
Lickorish, W. B. Raymond
223
1997
Piecewise linear manifolds and Cerf theory. Zbl 0889.57032
Lickorish, W. B. R.
27
1997
Sampling the \(SU(N)\) invariants of three-manifolds. Zbl 0881.57004
Lickorish, W. B. R.
3
1997
On the equivalent spines problem. Zbl 0893.57013
Cavicchioli, A.; Lickorish, W. B. R.; Repovš, D.
1
1997
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
50
1993
Skeins and handlebodies. Zbl 0805.57010
Lickorish, W. B. R.
10
1993
Distinct 3-manifolds with all SU\((2)_ q\) invariants the same. Zbl 0770.57003
Lickorish, W. B. R.
6
1993
Calculations with the Temperley-Lieb algebra. Zbl 0779.57008
Lickorish, W. B. R.
23
1992
Three-manifolds and the Temperley-Lieb algebra. Zbl 0739.57004
Lickorish, W. B. R.
31
1991
Unshellable triangulations of spheres. Zbl 0746.57007
Lickorish, W. B. R.
25
1991
Invariants for 3-manifolds from the combinatorics of the Jones polynomial. Zbl 0728.57011
Lickorish, W. B. R.
21
1991
Some link-polynomial relations. Zbl 0663.57005
Lickorish, W. B. R.
8
1989
The irreducibility of the 3-sphere. Zbl 0695.57007
Lickorish, W. B. R.
1
1989
Some links with non-trivial polynomials and their crossing-numbers. Zbl 0686.57002
Lickorish, W. B. R.; Thistlethwaite, M. B.
77
1988
Polynomials for links. Zbl 0685.57001
Lickorish, W. B. R.
43
1988
The new polynomial invariants of knots and links. Zbl 0651.57004
Lickorish, W. B. R.; Millett, K. C.
14
1988
The panorama of polynomials for knots, links and skeins. Zbl 0703.57007
Lickorish, W. B. R.
4
1988
An evaluation of the F-polynomial of a link. Zbl 0655.57004
Lickorish, W. B. R.; Millett, K. C.
2
1988
A polynomial invariant of oriented links. Zbl 0608.57009
Lickorish, W. B. R.; Millett, Kenneth C.
144
1987
Polynomials of 2-cable-like links. Zbl 0617.57004
Lickorish, W. B. R.; Lipson, A. S.
6
1987
Linear skein theory and link polynomials. Zbl 0638.57005
Lickorish, W. B. R.
5
1987
A polynomial invariant for unoriented knots and links. Zbl 0595.57009
Brandt, Robert D.; Lickorish, W. B. R.; Millett, Kenneth C.
73
1986
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
44
1986
Unknotting information from 4-manifolds. Zbl 0643.57006
Cochran, T. D.; Lickorish, W. B. R.
31
1986
A relationship between link polynomials. Zbl 0603.57005
Lickorish, W. B. R.
12
1986
Unknotting by adding a twisted band. Zbl 0608.57007
Lickorish, W. B. R.
12
1986
The reversing result for the Jones polynomial. Zbl 0553.57001
Lickorish, W. B. R.; Millett, K. C.
11
1986
A new polynomial invariant of knots and links. Zbl 0572.57002
Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A.
364
1985
The unknotting number of a classical knot. Zbl 0607.57002
Lickorish, W. B. Raymond
14
1985
Prime knots and tangles. Zbl 0472.57004
Lickorish, W. B. Raymond
33
1981
Prime knots and concordance. Zbl 0426.57001
Kirby, Robion C.; Lickorish, W. B. Raymond
22
1979
Shake-slice knots. Zbl 0409.57004
Lickorish, W. B. Raymond
2
1979
Surgery on knots. Zbl 0345.57002
Lickorish, W. B. Raymond
5
1977
An improbable collapse. Zbl 0258.57002
Lickorish, W. B. R.
2
1973
Piecewise linear critical levels and collapsing. Zbl 0248.57007
Kearton, C.; Lickorish, W. B. R.
11
1972
An unsplittable triangulation. Zbl 0216.20103
Lickorish, W. B. R.
4
1971
Extending piecewise linear concordances. Zbl 0219.57011
Hudson, J. F. P.; Lickorish, W. B. R.
3
1971
On collapsing \(X^2 \times I\). Zbl 0282.55001
Lickorish, W. B. R.
1
1971
Regular neighbourhoods and the stable range. Zbl 0195.53801
Lickorish, W. B. R.; Siebenmann, L. C.
7
1969
Triangulations of the 3-ball with knotted spanning 1-simplexes and collapsible r-th derived subdivisions. Zbl 0182.26302
Lickorish, W. B. R.; Martin, J. M.
6
1969
On the homeotopy group of a 2-manifold (corrigendum). Zbl 0145.44102
Lickorish, W. B. R.
13
1966
On the homeomorphisms of a non-orientable surface. Zbl 0131.20802
Lickorish, W. B. R.
19
1965
The piecewise linear unknotting of cones. Zbl 0138.19003
Lickorish, W. B. R.
17
1965
A foliation for 3-manifolds. Zbl 0142.41104
Lickorish, W. B. R.
14
1965
A finite set of generators for the homeotopy group of a 2-manifold. Zbl 0131.20801
Lickorish, W. B. R.
93
1964
Homeomorphisms of non-orientable two-manifolds. Zbl 0115.40801
Lickorish, W. B. R.
49
1963
A representation of orientable combinatorial 3-manifolds. Zbl 0106.37102
Lickorish, W. B. R.
166
1962
all top 5

Cited by 1,249 Authors

32 Stoimenow, Alexander
24 Przytycki, Józef Henryk
20 Morozov, Alexei Yurievich
19 Kauffman, Louis Hirsch
18 Kanenobu, Taizo
14 Mironov, Andrei D.
12 Chbili, Nafaa
11 Diao, Yuanan
11 Ernst, Claus
11 Lickorish, William Bernard Raymond
11 Livingston, Charles
10 Kalfagianni, Efstratia
10 Takioka, Hideo
9 Birman, Joan S.
9 Gilmer, Patrick M.
9 Jaeger, François
9 Murakami, Hitoshi
9 Ramadevi, Pichai
9 Szepietowski, Błażej
9 Tao, Zhixiong
9 Traldi, Lorenzo
8 Gukov, Sergei
8 Hajij, Mustafa
8 Korepanov, Igor Germanovich
8 Lambropoulou, Sofia S. F.
8 Turaev, Vladimir Georgievich
7 Benedetti, Bruno
7 Lee, Christine Ruey Shan
7 Miyazawa, Yasuyuki
7 Morozov, Andreĭ Alekseevich
7 Tanaka, Toshifumi
6 Adiprasito, Karim Alexander
6 Cha, Jae Choon
6 Cochran, Thomas (Tim) Daniel
6 Dasbach, Oliver T.
6 Frohman, Charles D.
6 Hoste, Jim
6 Ishii, Atsushi
6 Jin, Xian’an
6 Kearton, Cherry
6 Le, Thang Tu Quoc
6 Mariño, Marcos
6 Millett, Kenneth C.
6 Park, Chan-Young
6 Wong, Helen M.
5 Hedden, Matthew
5 Hetyei, Gábor
5 Horn, Peter D.
5 Jeong, Myeong-Ju
5 Kucharski, Piotr
5 Links, Jon Robert
5 Murakami, Jun
5 Ozsváth, Peter Steven
5 Powell, Mark
5 Purcell, Jessica Shepherd
5 Ray, Arunima
5 Sazdanović, Radmila
5 Shimizu, Ayaka
5 Singh, Vivek Kumar
5 Szabo, Zoltan
5 Takata, Toshie
5 Traczyk, Paweł
5 Yang, Zhiqing
4 Abe, Tetsuya
4 Altintas, Ismet
4 Anokhina, A. S.
4 Armas-Sanabria, Lorena
4 Armond, Cody W.
4 Bae, Yongju
4 Blanchet, Christian
4 Brandenbursky, Michael
4 Eisermann, Michael
4 Ekholm, Tobias
4 Elhamdadi, Mohamed
4 Futer, David
4 Gang, Dongmin
4 Gelca, Răzvan
4 Ghanwat, Abhijeet
4 Gould, Mark D.
4 Hara, Masao
4 Hirose, Susumu
4 Hirsch, Ulrich
4 Hsieh, Chun-Chung
4 Jong, In Dae
4 Kawauchi, Akio
4 Khovanov, Mikhail G.
4 Kidwell, Mark Elliot
4 Kirk, Paul A.
4 Kishimoto, Kengo
4 Labastida, José M. F.
4 Lin, Xiao-Song
4 Manolescu, Ciprian
4 Masbaum, Gregor
4 McCoy, Duncan
4 Moore, Allison H.
4 Moriuchi, Hiromasa
4 Morton, Hugh R.
4 Nakamoto, Atsuhiro
4 Nelson, Sam
4 Ohtsuki, Tomotada
...and 1,149 more Authors
all top 5

Cited in 213 Serials

217 Journal of Knot Theory and its Ramifications
115 Topology and its Applications
74 Algebraic & Geometric Topology
54 Transactions of the American Mathematical Society
52 Proceedings of the American Mathematical Society
39 Mathematical Proceedings of the Cambridge Philosophical Society
35 Communications in Mathematical Physics
27 Inventiones Mathematicae
26 Journal of High Energy Physics
24 Geometry & Topology
23 Advances in Mathematics
20 Mathematische Annalen
17 Journal of Mathematical Physics
17 Osaka Journal of Mathematics
16 Geometriae Dedicata
15 Journal of Pure and Applied Algebra
12 Discrete Mathematics
11 Letters in Mathematical Physics
10 Nuclear Physics. B
10 Bulletin of the American Mathematical Society. New Series
9 Chaos, Solitons and Fractals
9 Journal of Geometry and Physics
9 European Journal of Combinatorics
9 Experimental Mathematics
9 Quantum Topology
8 Israel Journal of Mathematics
8 Annales de l’Institut Fourier
8 Duke Mathematical Journal
8 Journal of Combinatorial Theory. Series B
8 Bulletin of the American Mathematical Society
7 Journal of Algebra
7 International Journal of Mathematics
7 Journal of Mathematical Chemistry
6 Rocky Mountain Journal of Mathematics
6 Theoretical and Mathematical Physics
6 Mathematische Zeitschrift
6 Journal of Mathematical Sciences (New York)
5 International Journal of Modern Physics A
5 Applied Mathematics and Computation
5 Fundamenta Mathematicae
5 Journal of Soviet Mathematics
5 Proceedings of the Japan Academy. Series A
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 The Electronic Journal of Combinatorics
5 Selecta Mathematica. New Series
5 Winter Braids Lecture Notes
4 Bulletin of the Australian Mathematical Society
4 Discrete Applied Mathematics
4 Journal of Statistical Physics
4 Archiv der Mathematik
4 Compositio Mathematica
4 Illinois Journal of Mathematics
4 Pacific Journal of Mathematics
4 Tokyo Journal of Mathematics
4 Geometric and Functional Analysis. GAFA
4 Linear Algebra and its Applications
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Journal of Physics A: Mathematical and Theoretical
4 Journal of Topology
3 International Journal of Theoretical Physics
3 Mathematical Notes
3 Periodica Mathematica Hungarica
3 The Mathematical Intelligencer
3 Acta Mathematica Vietnamica
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Journal of Differential Equations
3 Manuscripta Mathematica
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Bulletin of the Korean Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 Journal of Algebraic Combinatorics
3 Acta Mathematica Sinica. English Series
3 Journal of the Australian Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Topology and Analysis
3 Arnold Mathematical Journal
3 Proceedings of the American Mathematical Society. Series B
2 Communications in Algebra
2 Journal of Computational Physics
2 Russian Mathematical Surveys
2 Mathematics of Computation
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Indiana University Mathematics Journal
2 Journal of Geometry
2 Journal of the Mathematical Society of Japan
2 Kodai Mathematical Journal
2 Michigan Mathematical Journal
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Advances in Applied Mathematics
2 Combinatorica
2 Journal of Symbolic Computation
2 Journal of the American Mathematical Society
2 SIAM Journal on Discrete Mathematics
2 L’Enseignement Mathématique. 2e Série
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
...and 113 more Serials
all top 5

Cited in 50 Fields

1,126 Manifolds and cell complexes (57-XX)
148 Quantum theory (81-XX)
139 Group theory and generalizations (20-XX)
103 Combinatorics (05-XX)
50 Nonassociative rings and algebras (17-XX)
47 Differential geometry (53-XX)
40 Global analysis, analysis on manifolds (58-XX)
34 Category theory; homological algebra (18-XX)
31 Algebraic geometry (14-XX)
31 Convex and discrete geometry (52-XX)
30 Algebraic topology (55-XX)
25 Associative rings and algebras (16-XX)
25 Biology and other natural sciences (92-XX)
24 Statistical mechanics, structure of matter (82-XX)
22 Relativity and gravitational theory (83-XX)
21 Number theory (11-XX)
20 Several complex variables and analytic spaces (32-XX)
20 Computer science (68-XX)
18 Dynamical systems and ergodic theory (37-XX)
15 Functions of a complex variable (30-XX)
15 Functional analysis (46-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
13 Commutative algebra (13-XX)
12 Topological groups, Lie groups (22-XX)
9 Probability theory and stochastic processes (60-XX)
7 History and biography (01-XX)
7 Geometry (51-XX)
6 General topology (54-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Field theory and polynomials (12-XX)
5 Special functions (33-XX)
4 Numerical analysis (65-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Measure and integration (28-XX)
3 Partial differential equations (35-XX)
3 Mechanics of particles and systems (70-XX)
2 \(K\)-theory (19-XX)
2 Ordinary differential equations (34-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Information and communication theory, circuits (94-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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