×

zbMATH — the first resource for mathematics

Lickorish, William Bernard Raymond

Compute Distance To:
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
Documents Indexed: 62 Publications since 1962, including 1 Book

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 1,678 times in 1,176 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.
335
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.
155
1962
A polynomial invariant of oriented links. Zbl 0608.57009
Lickorish, W. B. R.; Millett, Kenneth C.
137
1987
A finite set of generators for the homeotopy group of a 2-manifold. Zbl 0131.20801
Lickorish, W. B. R.
79
1964
Some links with non-trivial polynomials and their crossing-numbers. Zbl 0686.57002
Lickorish, W. B. R.; Thistlethwaite, M. B.
72
1988
A polynomial invariant for unoriented knots and links. Zbl 0595.57009
Brandt, Robert D.; Lickorish, W. B. R.; Millett, Kenneth C.
68
1986
The skein method for three-manifold invariants. Zbl 0793.57003
Lickorish, W. B. R.
47
1993
Polynomials for links. Zbl 0685.57001
Lickorish, W. B. R.
40
1988
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
39
1986
Homeomorphisms of non-orientable two-manifolds. Zbl 0115.40801
Lickorish, W. B. R.
39
1963
Prime knots and tangles. Zbl 0472.57004
Lickorish, W. B. Raymond
30
1981
Three-manifolds and the Temperley-Lieb algebra. Zbl 0739.57004
Lickorish, W. B. R.
29
1991
Simplicial moves on complexes and manifolds. Zbl 0963.57013
Lickorish, W. B. R.
27
1999
Piecewise linear manifolds and Cerf theory. Zbl 0889.57032
Lickorish, W. B. R.
27
1997
Unknotting information from 4-manifolds. Zbl 0643.57006
Cochran, T. D.; Lickorish, W. B. R.
26
1986
Calculations with the Temperley-Lieb algebra. Zbl 0779.57008
Lickorish, W. B. R.
22
1992
Unshellable triangulations of spheres. Zbl 0746.57007
Lickorish, W. B. R.
21
1991
Invariants for 3-manifolds from the combinatorics of the Jones polynomial. Zbl 0728.57011
Lickorish, W. B. R.
20
1991
Prime knots and concordance. Zbl 0426.57001
Kirby, Robion C.; Lickorish, W. B. Raymond
20
1979
The unknotting number of a classical knot. Zbl 0607.57002
Lickorish, W. B. Raymond
17
1985
The piecewise linear unknotting of cones. Zbl 0138.19003
Lickorish, W. B. R.
17
1965
On the homeomorphisms of a non-orientable surface. Zbl 0131.20802
Lickorish, W. B. R.
15
1965
The new polynomial invariants of knots and links. Zbl 0651.57004
Lickorish, W. B. R.; Millett, K. C.
14
1988
A foliation for 3-manifolds. Zbl 0142.41104
Lickorish, W. B. R.
13
1965
A relationship between link polynomials. Zbl 0603.57005
Lickorish, W. B. R.
12
1986
On the homeotopy group of a 2-manifold (corrigendum). Zbl 0145.44102
Lickorish, W. B. R.
12
1966
Unknotting by adding a twisted band. Zbl 0608.57007
Lickorish, W. B. R.
11
1986
The reversing result for the Jones polynomial. Zbl 0553.57001
Lickorish, W. B. R.; Millett, K. C.
11
1986
Piecewise linear critical levels and collapsing. Zbl 0248.57007
Kearton, C.; Lickorish, W. B. R.
11
1972
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
Quantum invariants of 3-manifolds. Zbl 0987.57001
Lickorish, W. B. Raymond
5
2002
Distinct 3-manifolds with all SU\((2)_ q\) invariants the same. Zbl 0770.57003
Lickorish, W. B. R.
5
1993
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
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.
5
1969
Mutations of links in genus 2 handlebodies. Zbl 0905.57004
Cooper, D.; Lickorish, W. B. R.
4
1999
The panorama of polynomials for knots, links and skeins. Zbl 0703.57007
Lickorish, W. B. R.
4
1988
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
What is \(\ldots \) a skein module? Zbl 1155.57306
Raymond Lickorish, W. B.
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
Sampling the \(SU(N)\) invariants of three-manifolds. Zbl 0881.57004
Lickorish, W. B. R.
2
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
Skeins, \(SU(N)\) three-manifold invariants and TQFT. Zbl 0976.57011
Lickorish, W. B. R.
1
2000
On derivatives of link polynomials. Zbl 0927.57008
Lickorish, W. B. R.; Rong, Y.
1
1998
On the equivalent spines problem. Zbl 0893.57013
Cavicchioli, A.; Lickorish, W. B. R.; Repovš, D.
1
1997
The irreducibility of the 3-sphere. Zbl 0695.57007
Lickorish, W. B. R.
1
1989
Shake-slice knots. Zbl 0409.57004
Lickorish, W. B. Raymond
1
1979
On collapsing \(X^2 \times I\). Zbl 0282.55001
Lickorish, W. B. R.
1
1971
What is \(\ldots \) a skein module? Zbl 1155.57306
Raymond Lickorish, W. B.
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
5
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.
27
1999
Mutations of links in genus 2 handlebodies. Zbl 0905.57004
Cooper, D.; Lickorish, W. B. R.
4
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.
2
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.
47
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.
5
1993
Calculations with the Temperley-Lieb algebra. Zbl 0779.57008
Lickorish, W. B. R.
22
1992
Three-manifolds and the Temperley-Lieb algebra. Zbl 0739.57004
Lickorish, W. B. R.
29
1991
Unshellable triangulations of spheres. Zbl 0746.57007
Lickorish, W. B. R.
21
1991
Invariants for 3-manifolds from the combinatorics of the Jones polynomial. Zbl 0728.57011
Lickorish, W. B. R.
20
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.
72
1988
Polynomials for links. Zbl 0685.57001
Lickorish, W. B. R.
40
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.
137
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.
68
1986
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
39
1986
Unknotting information from 4-manifolds. Zbl 0643.57006
Cochran, T. D.; Lickorish, W. B. R.
26
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.
11
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.
335
1985
The unknotting number of a classical knot. Zbl 0607.57002
Lickorish, W. B. Raymond
17
1985
Prime knots and tangles. Zbl 0472.57004
Lickorish, W. B. Raymond
30
1981
Prime knots and concordance. Zbl 0426.57001
Kirby, Robion C.; Lickorish, W. B. Raymond
20
1979
Shake-slice knots. Zbl 0409.57004
Lickorish, W. B. Raymond
1
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.
5
1969
On the homeotopy group of a 2-manifold (corrigendum). Zbl 0145.44102
Lickorish, W. B. R.
12
1966
The piecewise linear unknotting of cones. Zbl 0138.19003
Lickorish, W. B. R.
17
1965
On the homeomorphisms of a non-orientable surface. Zbl 0131.20802
Lickorish, W. B. R.
15
1965
A foliation for 3-manifolds. Zbl 0142.41104
Lickorish, W. B. R.
13
1965
A finite set of generators for the homeotopy group of a 2-manifold. Zbl 0131.20801
Lickorish, W. B. R.
79
1964
Homeomorphisms of non-orientable two-manifolds. Zbl 0115.40801
Lickorish, W. B. R.
39
1963
A representation of orientable combinatorial 3-manifolds. Zbl 0106.37102
Lickorish, W. B. R.
155
1962
all top 5

Cited by 1,139 Authors

31 Stoimenow, Alexander
22 Morozov, Alexei Yurievich
20 Przytycki, Józef H.
17 Kanenobu, Taizo
17 Kauffman, Louis Hirsch
17 Mironov, Andrei D.
12 Morozov, Andreĭ Alekseevich
11 Chbili, Nafaa
11 Lickorish, William Bernard Raymond
10 Diao, Yuanan
10 Ernst, Claus
10 Livingston, Charles
10 Ramadevi, Pichai
9 Birman, Joan S.
9 Gilmer, Patrick M.
9 Jaeger, François
9 Murakami, Hitoshi
9 Tao, Zhixiong
8 Hajij, Mustafa
8 Kalfagianni, Efstratia
8 Szepietowski, Błażej
8 Traldi, Lorenzo
8 Turaev, Vladimir G.
7 Ikeda, Toru
7 Korepanov, Igor G.
7 Lambropoulou, Sofia S. F.
7 Takioka, Hideo
7 Tanaka, Toshifumi
6 Adiprasito, Karim Alexander
6 Benedetti, Bruno
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 Lee, Christine Ruey Shan
6 Mariño, Marcos
6 Millett, Kenneth C.
6 Miyazawa, Yasuyuki
6 Park, Chan-Young
6 Wong, Helen M.
5 Cha, Jae Choon
5 Gukov, Sergei
5 Hedden, Matthew
5 Horn, Peter D.
5 Jeong, Myeong-Ju
5 Links, Jon Robert
5 Murakami, Jun
5 Ozsváth, Peter Steven
5 Shimizu, Ayaka
5 Singh, Vivek Kumar
5 Szabo, Zoltan
5 Traczyk, Paweł
4 Anokhina, A. S.
4 Armas-Sanabria, Lorena
4 Armond, Cody W.
4 Bae, Yongju
4 Brandenbursky, Michael
4 Eisermann, Michael
4 Elhamdadi, Mohamed
4 Gang, Dongmin
4 Gelca, Răzvan
4 Gould, Mark D.
4 Hara, Masao
4 Hetyei, Gábor
4 Hirose, Susumu
4 Hirsch, Ulrich
4 Hsieh, Chun-Chung
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 Masbaum, Gregor
4 Moriuchi, Hiromasa
4 Morton, Hugh R.
4 Nakamoto, Atsuhiro
4 Nelson, Sam
4 Ohtsuki, Tomotada
4 Owens, Brendan
4 Purcell, Jessica S.
4 Rawdon, Eric J.
4 Ray, Arunima
4 Scharlemann, Martin G.
4 Sleptsov, A. V.
4 Sleptsov, Alexey
4 Spaggiari, Fulvia
4 Stukow, Michał
4 Takata, Toshie
4 Thistlethwaite, Morwen B.
4 Wenzl, Hans
4 Yamamoto, Makoto
4 Yang, Zhiqing
4 Yokota, Yoshiyuki
4 Zhang, Ruibin
...and 1,039 more Authors
all top 5

Cited in 178 Serials

200 Journal of Knot Theory and its Ramifications
107 Topology and its Applications
72 Algebraic & Geometric Topology
53 Transactions of the American Mathematical Society
51 Proceedings of the American Mathematical Society
38 Mathematical Proceedings of the Cambridge Philosophical Society
34 Communications in Mathematical Physics
29 Journal of High Energy Physics
27 Inventiones Mathematicae
23 Geometry & Topology
21 Advances in Mathematics
20 Mathematische Annalen
18 Journal of Mathematical Physics
16 Osaka Journal of Mathematics
14 Discrete Mathematics
12 Journal of Pure and Applied Algebra
11 Geometriae Dedicata
11 Bulletin of the American Mathematical Society. New Series
10 Letters in Mathematical Physics
9 Nuclear Physics. B
9 Chaos, Solitons and Fractals
9 European Journal of Combinatorics
8 Journal of Geometry and Physics
8 Duke Mathematical Journal
8 Journal of Combinatorial Theory. Series B
8 Bulletin of the American Mathematical Society
7 Israel Journal of Mathematics
7 International Journal of Mathematics
7 Experimental Mathematics
7 Quantum Topology
6 Rocky Mountain Journal of Mathematics
6 Theoretical and Mathematical Physics
6 Annales de l’Institut Fourier
6 Journal of Mathematical Sciences (New York)
6 Journal of Mathematical Chemistry
5 International Journal of Modern Physics A
5 Applied Mathematics and Computation
5 Journal of Algebra
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Proceedings of the Japan Academy. Series A
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Selecta Mathematica. New Series
4 Bulletin of the Australian Mathematical Society
4 Journal of Statistical Physics
4 Archiv der Mathematik
4 Fundamenta Mathematicae
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
4 Winter Braids Lecture Notes
3 Discrete Applied Mathematics
3 International Journal of Theoretical Physics
3 Mathematical Notes
3 The Mathematical Intelligencer
3 Compositio Mathematica
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Manuscripta Mathematica
3 Proceedings of the Edinburgh Mathematical Society. Series II
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 Arnold Mathematical Journal
2 Communications in Algebra
2 Journal of Computational Physics
2 Mathematics of Computation
2 Acta Mathematica Vietnamica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of Differential Equations
2 Journal of Geometry
2 Journal of the Mathematical Society of Japan
2 Michigan Mathematical Journal
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Journal of Symbolic Computation
2 Journal of the American Mathematical Society
2 L’Enseignement Mathématique. 2e Série
2 Expositiones Mathematicae
2 Topology Proceedings
2 Advances in Applied Clifford Algebras
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Electronic Research Announcements of the American Mathematical Society
2 Annales Henri Poincaré
2 Quantum Information Processing
2 International Journal of Quantum Information
2 Groups, Geometry, and Dynamics
2 Journal of Topology and Analysis
2 Communications in Mathematics and Statistics
...and 78 more Serials
all top 5

Cited in 49 Fields

1,021 Manifolds and cell complexes (57-XX)
142 Quantum theory (81-XX)
121 Group theory and generalizations (20-XX)
95 Combinatorics (05-XX)
47 Nonassociative rings and algebras (17-XX)
41 Differential geometry (53-XX)
37 Global analysis, analysis on manifolds (58-XX)
32 Category theory; homological algebra (18-XX)
28 Algebraic geometry (14-XX)
28 Convex and discrete geometry (52-XX)
27 Algebraic topology (55-XX)
24 Biology and other natural sciences (92-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 Relativity and gravitational theory (83-XX)
19 Several complex variables and analytic spaces (32-XX)
18 Number theory (11-XX)
16 Associative rings and algebras (16-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Functional analysis (46-XX)
14 Computer science (68-XX)
13 Functions of a complex variable (30-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Topological groups, Lie groups (22-XX)
10 Commutative algebra (13-XX)
9 Probability theory and stochastic processes (60-XX)
6 Geometry (51-XX)
5 History and biography (01-XX)
5 Field theory and polynomials (12-XX)
5 Special functions (33-XX)
5 General topology (54-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Fluid mechanics (76-XX)
3 Mathematical logic and foundations (03-XX)
3 Measure and integration (28-XX)
3 Numerical analysis (65-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 \(K\)-theory (19-XX)
2 Partial differential equations (35-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-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)
1 Information and communication theory, circuits (94-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.