H. R. Morton

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All published works

Action	Title	Year	Authors
+	Twist positivity, L-space knots, and concordance	2024	Siddhi Krishna H. R. Morton
+ PDF Chat	The braid indices of the reverse parallel links of alternating knots	2024	Yuanan Diao H. R. Morton
+ PDF Chat	Tangles in affine Hecke algebras	2023	H. R. Morton
+	The Braid Indices of the Reverse Parallel Links of Alternating Knots	2023	Yuanan Diao H. R. Morton
+ PDF Chat	The Kauffman Skein Algebra of the Torus	2022	H. R. Morton Alex Pokorny Peter Samuelson
+	Twist positivity, L-space knots, and concordance	2022	Siddhi Krishna H. R. Morton
+	Satellites and quantum invariants	2020	H. R. Morton
+	Tangles in affine Hecke algebras	2020	H. R. Morton
+	DAHAs and skein theory	2019	H. R. Morton Peter Samuelson
+	Idempotents of Hecke algebras of type A. (arXiv:q-alg/9702017v2 UPDATED)	2019	A. K. Aiston H. R. Morton
+	A skein-theoretic model for the double affine Hecke algebras	2019	H. R. Morton
+	The Kauffman skein algebra of the torus	2019	H. R. Morton Alexander Theodore Pokorny Peter Samuelson
+	DAHAs and skein theory	2019	H. R. Morton Peter Samuelson
+ PDF Chat	The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra	2016	H. R. Morton Peter Samuelson
+	The 𝑆𝐿₃ colored Jones polynomial of the trefoil	2013	Stavros Garoufalidis H. R. Morton Thao Vuong
+	KNOTS, SATELLITES AND QUANTUM GROUPS	2011	H. R. Morton
+ PDF Chat	Relations between Kauffman and Homfly satellite invariants	2010	H. R. Morton Nathan Derek Anthony Ryder
+	A basis for the Birman-Wenzl algebra	2010	H. R. Morton
+ PDF Chat	DOUBLY PERIODIC TEXTILE STRUCTURES	2009	H. R. Morton S. A. Grishanov
+ PDF Chat	INVARIANTS OF GENUS 2 MUTANTS	2009	H. R. Morton Nathan Derek Anthony Ryder
+	Mutant knots with symmetry	2008	H. R. Morton
+ PDF Chat	Geometrical relations and plethysms in the Homfly skein of the annulus	2008	H. R. Morton P. M. G. Manchón
+ PDF Chat	Integrality of Homfly 1–tangle invariants	2007	H. R. Morton
+	Murphy Operators in Knot Theory	2006	H. R. Morton
+ PDF Chat	THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS	2006	H. R. Morton
+ PDF Chat	A basis for the full Homfly skein of the annulus	2006	Richard J. Hadji H. R. Morton
+ PDF Chat	Conjugacy for positive permutation braids	2005	H. R. Morton Richard J. Hadji
+	A basis for the full Homfly skein of the annulus	2004	Richard J. Hadji H. R. Morton
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	A basis for the full Homfly skein of the annulus	2004	Richard J. Hadji H. R. Morton
+ PDF Chat	THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK	2003	H. R. Morton Sascha G. Lukac
+ PDF Chat	THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS	2003	Yongju Bae H. R. Morton
+	Conjugacy for positive permutation braids	2003	H. R. Morton Richard J. Hadji
+ PDF Chat	Power sums and Homfly skein theory	2002	H. R. Morton
+ PDF Chat	SKEIN THEORY AND THE MURPHY OPERATORS	2002	H. R. Morton
+ PDF Chat	Homfly polynomials of generalized Hopf links	2002	H. R. Morton Richard J. Hadji
+	Skein theory and the Murphy operators	2001	H. R. Morton
+	The Homfly polynomial of the decorated Hopf link	2001	H. R. Morton Sascha G. Lukac
+	Skein theory and the Murphy operators	2001	H. R. Morton
+	Power sums and Homfly skein theory	2001	H. R. Morton
+	MUTUAL BRAIDING AND THE BAND PRESENTATION OF BRAID GROUPS	2000	H. R. Morton M. Rampichini
+	The spread and extreme terms of Jones polynomials	2000	Yongju Bae H. R. Morton
+ PDF Chat	The Burau matrix and Fiedler's invariant for a closed braid	1999	H. R. Morton
+	Mutual braiding and the band presentation of braid groups	1999	H. R. Morton M. Rampichini
+ PDF Chat	The multivariable Alexander polynomial for a closed braid	1999	H. R. Morton
+	Mutants and SU(3)<sub>q</sub> invariants	1998	H. R. Morton Hayley Ryder
+	IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A	1998	A. K. Aiston H. R. Morton
+ PDF Chat	IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A	1998	A. K. Aiston H. R. Morton
+	The Multivariable Alexander Polynomial for a Closed Braid	1998	H. R. Morton
+ PDF Chat	Arc index and the Kauffman polynomial	1998	H. R. Morton Elisabetta Beltrami
+	Mutants and SU(3)_q invariants	1998	H. R. Morton Hayley Ryder
+	The Burau matrix and Fiedler's invariant for a closed braid	1998	H. R. Morton
+	Idempotents of Hecke algebras of type A	1997	A. K. Aiston H. R. Morton
+	QUANTUM INVARIANTS OF KNOTS AND 3‐MANIFOLDS	1996	H. R. Morton
+	DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS	1996	H. R. Morton Peter R. Cromwell
+	Unitary quantum groups and mutant knots	1996	H. R. Morton
+	Fibonacci-like Sequences and Greatest Common Divisors	1995	H. R. Morton
+	The coloured Jones function	1995	Paul Melvin H. R. Morton
+	The coloured Jones function and Alexander polynomial for torus knots	1995	H. R. Morton
+ PDF Chat	ALGORITHMS FOR POSITIVE BRAIDS	1994	E. A. Elrifai H. R. Morton
+ PDF Chat	QUANTUM INVARIANTS GIVEN BY EVALUATION OF KNOT POLYNOMIALS	1993	H. R. Morton
+	Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups	1993	H. R. Morton
+ PDF Chat	POSITIVITY OF KNOT POLYNOMIALS ON POSITIVE LINKS	1992	Peter R. Cromwell H. R. Morton
+	Fibred Links from Closed Braids	1991	José María Montesinos-Amilibia H. R. Morton
+	Jones polynomial invariants for knots and satellites	1991	H. R. Morton Paul Strickland
+	The 2-variable polynomial of cable knots	1990	H. R. Morton Hamish Short
+	Calculating the 2-variable polynomial for knots presented as closed braids	1990	H. R. Morton Hamish Short
+	Knots and algebras	1990	H. R. Morton P. Traczyk
+	Pairs of closed 3-braids with the same Alexander polinomial	1990	H. R. Morton María Teresa Lozano
+	The Jones polynomials of satellites about mutant knots	1988	H. R. Morton
+ PDF Chat	The Jones polynomial of satellite links around mutants	1988	H. R. Morton P. Traczyk
+	THREE-DIMENSIONAL LINK THEORY AND INVARIANTS OF PLANE CURVE SINGULARITIES (Annals of Mathematics Studies)	1987	H. R. Morton
+	The 2-variable polynomial of cable knots	1987	H. R. Morton Hamish Short
+	Threading knot diagrams	1986	H. R. Morton
+	Hyperbolic 3-manifolds and surface automorphisms	1986	D. D. Long H. R. Morton
+	Seifert circles and knot polynomials	1986	H. R. Morton
+	THE JONES POLYNOMIAL FOR UNORIENTED LINKS	1986	H. R. Morton
+	Alexander polynomials of closed 3-braids	1984	H. R. Morton
+	An irreducible 4-string braid with unknotted closure	1983	H. R. Morton
+	Fibred knots with a given Alexander polynomial	1983	H. R. Morton
+	Closed curves with no quadrisecants	1982	H. R. Morton David Mond
+	Closed braids which are not prime knots	1979	H. R. Morton
+	Infinitely many fibred knots having the same Alexander polynomial	1978	H. R. Morton
+	Some unexpectedly non-singular orbit spaces	1977	H. R. Morton
+	Homotopy Theory and Duality. By Peter Hilton. Pp. 224. 60s. 1967. (Nelson.)	1969	H. R. Morton
+	Some geometrical results in algebraic topology	1967	H. R. Morton
+	Symmetric products of the circle	1967	H. R. Morton
+ PDF Chat	The space of homeomorphisms of a disc with $n$ holes	1967	H. R. Morton

Common Coauthors

Coauthor	Papers Together
Richard J. Hadji	6
Peter Samuelson	5
A. K. Aiston	4
Stavros Garoufalidis	3
Hamish Short	3
Nikos Askitas	2
M. Rampichini	2
Gwénaël Massuyeau	2
Hitoshi Murakami	2
S. K. Hansen	2
Masayuki Okamoto	2
Jørgen Ellegaard Andersen	2
Gregor Masbaum	2
Michael Polyak	2
Thang T. Q. Lê	2
Vaughan F. R. Jones	2
Roger Fenn	2
Nathan Derek Anthony Ryder	2
Ami Haviv	2
Lev Rozansky	2
Tomotada Ohtsuki	2
Riccardo Benedetti	2
Hayley Ryder	2
Sascha G. Lukac	2
Xinheng Lin	2
N. Okuda	2
Nathan M. Dunfield	2
Toshie Takata	2
Christine Lescop	2
Theodore Stanford	2
Luigi Pilo	2
Simon Willerton	2
Yasutaka Nakanishi	2
Siddhi Krishna	2
Yukiko Ohyama	2
Michel Boileau	2
C. P. Rourke	2
Shigeyuki Morita	2
Jeffrey Roberts	2
T. Kohno	2
R. Bott	2
Vladimir Turaev	2
Y. Yokota	2
H. Habiro	2
Andrew Kricker	2
Myeong–Ju Jeong	2
J. S. Carter	2
Dror Bar-Natan	2
Rinat Kashaev	2
Yuanan Diao	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	SKEIN THEORY AND THE MURPHY OPERATORS	2002	H. R. Morton	12
+ PDF Chat	IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A	1998	A. K. Aiston H. R. Morton	12
+	Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups	1993	H. R. Morton	12
+ PDF Chat	Representations of braid groups and the quantum Yang-Baxter equation	1990	Hans Wenzl	9
+	On the skeins in the annulus and applications to invariants of 3-manifolds	1998	Kenichi Kawagoe	9
+	Braids, Links, and Mapping Class Groups	1974	Joan S. Birman	9
+	Knots and algebras	1990	H. R. Morton P. Traczyk	8
+ PDF Chat	Idempotents of the Hecke algebra become Schur functions in the skein of the annulus	2005	Sascha G. Lukac	8
+	Calculating the 2-variable polynomial for knots presented as closed braids	1990	H. R. Morton Hamish Short	7
+	Ribbon graphs and their invaraints derived from quantum groups	1990	Nicolai Reshetikhin Vladimir G. Turaev	7
+ PDF Chat	A basis for the full Homfly skein of the annulus	2006	Richard J. Hadji H. R. Morton	7
+	Infinitely many fibred knots having the same Alexander polynomial	1978	H. R. Morton	7
+ PDF Chat	QUANTUM INVARIANTS GIVEN BY EVALUATION OF KNOT POLYNOMIALS	1993	H. R. Morton	6
+	Blocks and Idempotents of Hecke Algebras of General Linear Groups	1987	Richard Dipper Gordon James	6
+ PDF Chat	A new polynomial invariant of knots and links	1985	Peter Freyd David N. Yetter Jim Hoste W. B. R. Lickorish Kenneth C. Millett Adrian Ocneanu	6
+	Seifert circles and knot polynomials	1986	H. R. Morton	6
+ PDF Chat	Geometrical relations and plethysms in the Homfly skein of the annulus	2008	H. R. Morton P. M. G. Manchón	6
+	The 2-variable polynomial of cable knots	1987	H. R. Morton Hamish Short	6
+ PDF Chat	ALGORITHMS FOR POSITIVE BRAIDS	1994	E. A. Elrifai H. R. Morton	6
+	Quantum Invariants of Knots and 3-Manifolds	2010	Vladimir G. Turaev	5
+ PDF Chat	On the Vassiliev knot invariants	1995	Dror Bar-Natan	5
+	A congruence between link polynomials	1990	Lee Rudolph	5
+	Jones polynomial invariants for knots and satellites	1991	H. R. Morton Paul Strickland	4
+	A $q$-analogue of Young symmetrizer	1986	Akihiko Gyoja	4
+	State models and the jones polynomial	1987	Louis H. Kauffman	4
+	On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters	1989	Kazuhiko Koike	4
+	The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)	1991	Robion Kirby Paul Melvin	4
+ PDF Chat	An invariant of regular isotopy	1990	Louis H. Kauffman	4
+ PDF Chat	Special positions for essential Tori in link complements	1994	Joan S. Birman William W. Menasco	4
+	Knot polynomials and Vassiliev's invariants	1993	Joan S. Birman Xiao-Song Lin	4
+ PDF Chat	Polynomials of 2-cable-like links	1987	W. B. R. Lickorish A. S. Lipson	4
+ PDF Chat	Quantum groups and subfactors of type B, C, and D	1990	Hans Wenzl	4
+	Skeins and quantum SU(N) invariants of 3-manifolds	1997	Yoshiyuki Yokota	4
+ PDF Chat	The fundamental invariant of the Hecke algebra H<i>n</i>(<i>q</i>) characterizes the representations of H<i>n</i>(<i>q</i>), <i>S</i> <i>n</i>, SU<i>q</i>(<i>N</i>), and SU(<i>N</i>)	1995	Jacob Katriel B. Abdesselam Amlan Chakrabarti	4
+	Centralizer algebras of the mixed tensor representations of quantum group Uq(gl(n,C))*	1993	Masashi Kosuda Jun Murakami	4
+	DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS	1996	H. R. Morton Peter R. Cromwell	4
+ PDF Chat	Braids and the Jones polynomial	1987	John Franks R. F. Williams	4
+	A polynomial invariant of oriented links	1987	W. B. R. Lickorish Kenneth C. Millett	4
+	Coactions and Yang-Baxter equations for ergodic actions and subfactors	1989	Antony Wassermann	4
+	Hecke algebras of typeA n and subfactors	1988	Hans Wenzl	4
+	The parallel version of polynomial invariants of links	1989	Jun Murakami	4
+ PDF Chat	A polynomial invariant for knots via von Neumann algebras	1985	Vaughan F. R. Jones	4
+	Rational tableaux and the tensor algebra of gln	1987	John R. Stembridge	3
+ PDF Chat	Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras	1997	Arun Ram	3
+ PDF Chat	Homfly polynomials of generalized Hopf links	2002	H. R. Morton Richard J. Hadji	3
+	Mutants and SU(3)<sub>q</sub> invariants	1998	H. R. Morton Hayley Ryder	3
+	Representation Theory: A First Course	1991	William Fulton	3
+ PDF Chat	Power sums and Homfly skein theory	2002	H. R. Morton	3
+	Invariants of 3-manifolds via link polynomials and quantum groups	1991	Nicolai Reshetikhin Vladimir G. Turaev	3
+ PDF Chat	Skein construction of idempotents in Birman-Murakami-Wenzl algebras	2001	Anna Beliakova Christian Blanchet	3