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Morton, Hugh R.

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Author ID: morton.hugh-r Recent zbMATH articles by "Morton, Hugh R."
Published as: Morton, H. R.; Morton, Hugh; Morton, Hugh R.
Documents Indexed: 66 Publications since 1967
Reviewing Activity: 101 Reviews

Publications by Year

Citations contained in zbMATH

58 Publications have been cited 650 times in 517 Documents Cited by Year
Algorithms for positive braids. Zbl 0839.20051
Elrifai, Elsayed A.; Morton, H. R.
97
1994
Seifert circles and knot polynomials. Zbl 0588.57008
Morton, H. R.
86
1986
The coloured Jones function. Zbl 0845.57007
Melvin, P. M.; Morton, H. R.
36
1995
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
30
1996
The coloured Jones function and Alexander polynomial for torus knots. Zbl 0852.57007
Morton, H. R.
30
1995
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
28
1998
Infinitely many fibred knots having the same Alexander polynomial. Zbl 0383.57005
Morton, H. R.
18
1978
The Homfly polynomial of the decorated Hopf link. Zbl 1055.57014
Morton, Hugh R.; Lukac, Sascha G.
17
2003
Threading knot diagrams. Zbl 0595.57007
Morton, H. R.
17
1986
The 2-variable polynomial of cable knots. Zbl 0629.57001
Morton, H. R.; Short, H. B.
16
1986
Geometrical relations and plethysms in the Homfly skein of the annulus. Zbl 1153.57011
Morton, H. R.; Manchón, P. M. G.
15
2008
Arc index and the Kauffman polynomial. Zbl 0888.57007
Morton, Hugh R.; Beltrami, Elisabetta
14
1998
A basis for the full Homfly skein of the annulus. Zbl 1108.57005
Hadji, Richard J.; Morton, Hugh R.
13
2006
Knots and algebras. Zbl 1290.57021
Morton, H. R.; Traczyk, P.
12
1990
Symmetric products of the circle. Zbl 0183.28301
Morton, H. R.
12
1967
The spread and extreme terms of Jones polynomials. Zbl 1064.57010
Bae, Yongju; Morton, Hugh R.
11
2003
The multivariable Alexander polynomial for a closed braid. Zbl 0935.57010
Morton, H. R.
11
1999
Positivity of knot polynomials on positive links. Zbl 0757.57006
Cromwell, P. R.; Morton, H. R.
11
1992
Calculating the 2-variable polynomial for knots presented as closed braids. Zbl 0738.57003
Morton, H. R.; Short, H. B.
11
1990
Closed curves with no quadrisecants. Zbl 0509.57003
Morton, H. R.; Mond, D. M. Q.
11
1982
An irreducible 4-string braid with unknotted closure. Zbl 0522.57006
Morton, H. R.
10
1983
Hyperbolic 3-manifolds and surface automorphisms. Zbl 0607.57007
Long, D. D.; Morton, H. R.
9
1986
Fibred knots with a given Alexander polynomial. Zbl 0547.57003
Morton, H. R.
9
1983
Homfly polynomials of generalized Hopf links. Zbl 1002.57014
Morton, Hugh R.; Hadji, Richard J.
8
2002
The Jones polynomial of satellite links around mutants. Zbl 0666.57010
Morton, Hugh R.; Traczyk, P.
8
1988
The Jones polynomial for unoriented links. Zbl 0595.57006
Morton, H. R.
8
1986
The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra. Zbl 1369.16034
Morton, Hugh; Samuelson, Peter
7
2017
Jones polynomial invariants for knots and satellites. Zbl 0726.57008
Morton, H. R.; Strickland, P.
7
1991
Invariants of links and 3-manifolds from skein theory and from quantum groups. Zbl 0816.57003
Morton, H. R.
6
1993
Satellites and surgery invariants. Zbl 0763.57006
Morton, H. R.; Strickland, P. M.
6
1992
Doubly periodic textile structures. Zbl 1196.57007
Morton, Hugh R.; Grishanov, Sergei
5
2009
Integrality of Homfly 1-tangle invariants. Zbl 1132.57014
Morton, Hugh R.
5
2007
Conjugacy for positive permutation braids. Zbl 1086.57007
Morton, Hugh R.; Hadji, Richard J.
5
2005
Mutants and \(SU(3)_q\) invariants. Zbl 0901.57002
Morton, H. R.; Ryder, H. J.
5
1998
Fibred knots of genus 2 formed by plumbing Hopf bands. Zbl 0576.57008
Melvin, P. M.; Morton, H. R.
5
1986
Joins of polyhedra. Zbl 0186.56801
Morton, H. R.
5
1970
The \(\mathrm{SL}_{3}\) colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
4
2013
Mutant knots with symmetry. Zbl 1169.57010
Morton, H. R.
4
2009
The Burau matrix and Fiedler’s invariant for a closed braid. Zbl 0936.57008
Morton, H. R.
4
1999
Closed braids which are not prime knots. Zbl 0433.57005
Morton, H. R.
4
1979
Relations between Kauffman and Homfly satellite invariants. Zbl 1206.57016
Morton, H. R.; Ryder, N. D. A.
3
2010
Power sums and Homfly skein theory. Zbl 1035.57007
Morton, Hugh R.
3
2002
Skein theory and the Murphy operators. Zbl 1025.57012
Morton, Hugh R.
3
2002
The Alexander polynomial of a torus knot with twists. Zbl 1115.57004
Morton, Hugh R.
2
2006
Mutual braiding and the band presentation of braid groups. Zbl 0998.57014
Morton, Hugh R.; Rampichini, Marta
2
2000
Quantum invariants given by evaluation of knot polynomials. Zbl 0798.57005
Morton, H. R.
2
1993
Trefoil knots without tritangent planes. Zbl 0726.53003
Morton, H. R.
2
1991
Fibred links from closed braids. Zbl 0673.57010
Montesinos-Amilibia, José M.; Morton, H. R.
2
1991
The space of homeomorphisms of a disc with n holes. Zbl 0142.21702
Morton, H. R.
2
1967
Mutant knots. Zbl 1315.57003
Morton, H. R.
1
2015
Knots, satellites and quantum groups. Zbl 1263.57006
Morton, H. R.
1
2012
Invariants of genus 2 mutants. Zbl 1183.57008
Morton, H. R.; Ryder, N.
1
2009
Young diagrams, the Homfly skein of the annulus and unitary invariants. Zbl 0966.57016
Morton, H. R.; Aiston, A. K.
1
1997
Fibonacci-like sequences and greatest common divisors. Zbl 0845.11010
Morton, H. R.
1
1995
Pairs of closed 3-braids with the same Alexander polynomial. Zbl 1290.57012
Lozano, M. T.; Morton, H. R.
1
1990
Problems. Zbl 0659.57002
Morton, H. R.
1
1988
Exchangeable braids. Zbl 0574.57002
Morton, H. R.
1
1985
Finite orthogonal symmetry. Zbl 0186.55603
Robertson, S. A.; Carter, S.; Morton, H. R.
1
1970
The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra. Zbl 1369.16034
Morton, Hugh; Samuelson, Peter
7
2017
Mutant knots. Zbl 1315.57003
Morton, H. R.
1
2015
The \(\mathrm{SL}_{3}\) colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
4
2013
Knots, satellites and quantum groups. Zbl 1263.57006
Morton, H. R.
1
2012
Relations between Kauffman and Homfly satellite invariants. Zbl 1206.57016
Morton, H. R.; Ryder, N. D. A.
3
2010
Doubly periodic textile structures. Zbl 1196.57007
Morton, Hugh R.; Grishanov, Sergei
5
2009
Mutant knots with symmetry. Zbl 1169.57010
Morton, H. R.
4
2009
Invariants of genus 2 mutants. Zbl 1183.57008
Morton, H. R.; Ryder, N.
1
2009
Geometrical relations and plethysms in the Homfly skein of the annulus. Zbl 1153.57011
Morton, H. R.; Manchón, P. M. G.
15
2008
Integrality of Homfly 1-tangle invariants. Zbl 1132.57014
Morton, Hugh R.
5
2007
A basis for the full Homfly skein of the annulus. Zbl 1108.57005
Hadji, Richard J.; Morton, Hugh R.
13
2006
The Alexander polynomial of a torus knot with twists. Zbl 1115.57004
Morton, Hugh R.
2
2006
Conjugacy for positive permutation braids. Zbl 1086.57007
Morton, Hugh R.; Hadji, Richard J.
5
2005
The Homfly polynomial of the decorated Hopf link. Zbl 1055.57014
Morton, Hugh R.; Lukac, Sascha G.
17
2003
The spread and extreme terms of Jones polynomials. Zbl 1064.57010
Bae, Yongju; Morton, Hugh R.
11
2003
Homfly polynomials of generalized Hopf links. Zbl 1002.57014
Morton, Hugh R.; Hadji, Richard J.
8
2002
Power sums and Homfly skein theory. Zbl 1035.57007
Morton, Hugh R.
3
2002
Skein theory and the Murphy operators. Zbl 1025.57012
Morton, Hugh R.
3
2002
Mutual braiding and the band presentation of braid groups. Zbl 0998.57014
Morton, Hugh R.; Rampichini, Marta
2
2000
The multivariable Alexander polynomial for a closed braid. Zbl 0935.57010
Morton, H. R.
11
1999
The Burau matrix and Fiedler’s invariant for a closed braid. Zbl 0936.57008
Morton, H. R.
4
1999
Idempotents of Hecke algebras of type \(A\). Zbl 0924.57005
Aiston, A. K.; Morton, H. R.
28
1998
Arc index and the Kauffman polynomial. Zbl 0888.57007
Morton, Hugh R.; Beltrami, Elisabetta
14
1998
Mutants and \(SU(3)_q\) invariants. Zbl 0901.57002
Morton, H. R.; Ryder, H. J.
5
1998
Young diagrams, the Homfly skein of the annulus and unitary invariants. Zbl 0966.57016
Morton, H. R.; Aiston, A. K.
1
1997
Distinguishing mutants by knot polynomials. Zbl 0866.57002
Morton, Hugh R.; Cromwell, Peter R.
30
1996
The coloured Jones function. Zbl 0845.57007
Melvin, P. M.; Morton, H. R.
36
1995
The coloured Jones function and Alexander polynomial for torus knots. Zbl 0852.57007
Morton, H. R.
30
1995
Fibonacci-like sequences and greatest common divisors. Zbl 0845.11010
Morton, H. R.
1
1995
Algorithms for positive braids. Zbl 0839.20051
Elrifai, Elsayed A.; Morton, H. R.
97
1994
Invariants of links and 3-manifolds from skein theory and from quantum groups. Zbl 0816.57003
Morton, H. R.
6
1993
Quantum invariants given by evaluation of knot polynomials. Zbl 0798.57005
Morton, H. R.
2
1993
Positivity of knot polynomials on positive links. Zbl 0757.57006
Cromwell, P. R.; Morton, H. R.
11
1992
Satellites and surgery invariants. Zbl 0763.57006
Morton, H. R.; Strickland, P. M.
6
1992
Jones polynomial invariants for knots and satellites. Zbl 0726.57008
Morton, H. R.; Strickland, P.
7
1991
Trefoil knots without tritangent planes. Zbl 0726.53003
Morton, H. R.
2
1991
Fibred links from closed braids. Zbl 0673.57010
Montesinos-Amilibia, José M.; Morton, H. R.
2
1991
Knots and algebras. Zbl 1290.57021
Morton, H. R.; Traczyk, P.
12
1990
Calculating the 2-variable polynomial for knots presented as closed braids. Zbl 0738.57003
Morton, H. R.; Short, H. B.
11
1990
Pairs of closed 3-braids with the same Alexander polynomial. Zbl 1290.57012
Lozano, M. T.; Morton, H. R.
1
1990
The Jones polynomial of satellite links around mutants. Zbl 0666.57010
Morton, Hugh R.; Traczyk, P.
8
1988
Problems. Zbl 0659.57002
Morton, H. R.
1
1988
Seifert circles and knot polynomials. Zbl 0588.57008
Morton, H. R.
86
1986
Threading knot diagrams. Zbl 0595.57007
Morton, H. R.
17
1986
The 2-variable polynomial of cable knots. Zbl 0629.57001
Morton, H. R.; Short, H. B.
16
1986
Hyperbolic 3-manifolds and surface automorphisms. Zbl 0607.57007
Long, D. D.; Morton, H. R.
9
1986
The Jones polynomial for unoriented links. Zbl 0595.57006
Morton, H. R.
8
1986
Fibred knots of genus 2 formed by plumbing Hopf bands. Zbl 0576.57008
Melvin, P. M.; Morton, H. R.
5
1986
Exchangeable braids. Zbl 0574.57002
Morton, H. R.
1
1985
An irreducible 4-string braid with unknotted closure. Zbl 0522.57006
Morton, H. R.
10
1983
Fibred knots with a given Alexander polynomial. Zbl 0547.57003
Morton, H. R.
9
1983
Closed curves with no quadrisecants. Zbl 0509.57003
Morton, H. R.; Mond, D. M. Q.
11
1982
Closed braids which are not prime knots. Zbl 0433.57005
Morton, H. R.
4
1979
Infinitely many fibred knots having the same Alexander polynomial. Zbl 0383.57005
Morton, H. R.
18
1978
Joins of polyhedra. Zbl 0186.56801
Morton, H. R.
5
1970
Finite orthogonal symmetry. Zbl 0186.55603
Robertson, S. A.; Carter, S.; Morton, H. R.
1
1970
Symmetric products of the circle. Zbl 0183.28301
Morton, H. R.
12
1967
The space of homeomorphisms of a disc with n holes. Zbl 0142.21702
Morton, H. R.
2
1967
all top 5

Cited by 533 Authors

31 Stoimenow, Alexander
19 Birman, Joan S.
16 Dehornoy, Patrick
16 González-Meneses, Juan
14 Mironov, Andrei D.
13 Morton, Hugh R.
11 Morozov, Alexei Yurievich
10 Morozov, Andreĭ Alekseevich
9 Garoufalidis, Stavros
9 Gebhardt, Volker
9 Jin, Gyo Taek
9 Lee, Sangjin
8 Ramadevi, Pichai
8 Wiest, Bertold
7 Kanenobu, Taizo
7 Ko, Ki Hyoung
6 Le, Thang Tu Quoc
6 Przytycki, Józef H.
6 Rozansky, Lev
6 Singh, Vivek Kumar
5 Calvez, Matthieu
5 Diao, Yuanan
5 Hikami, Kazuhiro
5 Kalfagianni, Efstratia
5 Kauffman, Louis Hirsch
5 Lin, Xiao-Song
5 Mariño, Marcos
5 Menasco, William W.
5 Murakami, Hitoshi
5 Seo, Myoungsoo
4 Cherednik, Ivan V.
4 Dasbach, Oliver T.
4 De Wit, David
4 Elrifai, Elsayed A.
4 Lee, Eonkyung
4 Lee, Hwa Jeong
4 Lee, Sang Youl
4 Murasugi, Kunio
4 Sleptsov, Alexey
4 Takata, Toshie
4 Takioka, Hideo
4 Teicher, Mina
4 Zhong, Jianyuan K.
3 Cromwell, Peter R.
3 Detcherry, Renaud
3 Franco, Nuno
3 Gorsky, Eugene
3 Guadagnini, Enore
3 Gukov, Sergei
3 Hetyei, Gábor
3 Ito, Tetsuya
3 Kawamuro, Keiko
3 Kidwell, Mark Elliot
3 Lambropoulou, Sofia S. F.
3 González Manchón, Pedro Maria
3 Mellor, Blake
3 Morozov, Al’bert Dmitrievich
3 Nakamura, Takuji
3 Nawata, Satoshi
3 Orevkov, Stepan Yur’evich
3 Park, B. Doug
3 Silver, Daniel S.
3 Sułkowski, Piotr
3 Vershinin, Vladimir V.
3 Zhang, Chaohui
3 Zheng, Hao
2 Abe, Tetsuya
2 Aganagic, Mina
2 Ali, Usman
2 An, Byung Hee
2 Andersen, Jørgen Ellegaard
2 Bae, Yongju
2 Baker, Kenneth L.
2 Bayram, Mustafa
2 Beltrami, Elisabetta
2 Berceanu, Barbu Rudolf
2 Boileau, Michel Charles
2 Chmutov, Sergei V.
2 Conway, Anthony
2 Cumplido, María
2 Dhara, Saswati
2 Dynnikov, Ivan Alekseevich
2 Etgü, Tolga
2 Eynard, Bertrand
2 Futer, David
2 Goodman, Frederick M.
2 Grishanov, Sergei A.
2 Jaeger, François
2 Jeon, Choon Bae
2 Kalka, Arkadius G.
2 Kálmán, Tamás
2 Kaplan, Shmuel
2 Kishimoto, Kengo
2 Klemm, Albrecht
2 Kofman, Ilya
2 Kucharski, Piotr
2 Kurpita, Bohdan I.
2 Lauda, Aaron D.
2 Leininger, Christopher J.
2 Links, Jon Robert
...and 433 more Authors
all top 5

Cited in 135 Serials

86 Journal of Knot Theory and its Ramifications
38 Topology and its Applications
24 Algebraic & Geometric Topology
17 Advances in Mathematics
17 Transactions of the American Mathematical Society
15 Mathematical Proceedings of the Cambridge Philosophical Society
13 Inventiones Mathematicae
13 Journal of Algebra
13 Journal of High Energy Physics
12 Journal of Pure and Applied Algebra
11 Proceedings of the American Mathematical Society
10 Communications in Mathematical Physics
7 Mathematische Annalen
6 Israel Journal of Mathematics
6 International Journal of Mathematics
5 Nuclear Physics. B
5 Journal of Symbolic Computation
5 Geometry & Topology
5 Communications in Contemporary Mathematics
4 Communications in Algebra
4 Discrete Applied Mathematics
4 Theoretical and Mathematical Physics
4 Chaos, Solitons and Fractals
4 International Journal of Algebra and Computation
4 Bulletin of the American Mathematical Society. New Series
4 Annales Henri Poincaré
4 Quantum Topology
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 Letters in Mathematical Physics
3 Journal of Geometry and Physics
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Journal of Geometry
3 Mathematische Zeitschrift
3 Chinese Annals of Mathematics. Series B
3 Applicable Algebra in Engineering, Communication and Computing
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Journal of Mathematical Sciences (New York)
3 Selecta Mathematica. New Series
3 Algebras and Representation Theory
3 Groups, Complexity, Cryptology
2 Modern Physics Letters A
2 Bulletin of the Australian Mathematical Society
2 Journal of Computational Physics
2 Mathematical Notes
2 Physics Letters. B
2 Acta Mathematica Vietnamica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Computation
2 Compositio Mathematica
2 Functional Analysis and its Applications
2 Fundamenta Mathematicae
2 Publications Mathématiques
2 Journal of Combinatorial Theory. Series A
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Advances in Applied Mathematics
2 Designs, Codes and Cryptography
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Annales Mathématiques Blaise Pascal
2 Journal of Mathematical Chemistry
2 Annals of Combinatorics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Groups, Geometry, and Dynamics
2 Journal of Topology and Analysis
2 Research in the Mathematical Sciences
1 International Journal of Modern Physics A
1 American Mathematical Monthly
1 International Journal of Theoretical Physics
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series B
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematika
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Physica D
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
...and 35 more Serials
all top 5

Cited in 45 Fields

397 Manifolds and cell complexes (57-XX)
137 Group theory and generalizations (20-XX)
60 Quantum theory (81-XX)
28 Combinatorics (05-XX)
24 Global analysis, analysis on manifolds (58-XX)
23 Algebraic geometry (14-XX)
23 Nonassociative rings and algebras (17-XX)
20 Computer science (68-XX)
18 Differential geometry (53-XX)
12 Number theory (11-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Information and communication theory, circuits (94-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Algebraic topology (55-XX)
10 Functions of a complex variable (30-XX)
10 Special functions (33-XX)
9 Associative rings and algebras (16-XX)
9 Category theory; homological algebra (18-XX)
7 Relativity and gravitational theory (83-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Biology and other natural sciences (92-XX)
5 Topological groups, Lie groups (22-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General algebraic systems (08-XX)
3 Commutative algebra (13-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Ordinary differential equations (34-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)

Citations by Year