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2024

2023

2022

2021

DAHAs and skein theory

Morton, H., & Samuelson, P. (2021). DAHAs and skein theory. Communications in Mathematical Physics. Retrieved from http://arxiv.org/abs/1909.11247v2

Journal article

2020

Satellites and quantum invariants

Morton, H. (2020). Satellites and quantum invariants. In C. Adams, E. Flapan, L. Kauffman, A. Heinrich, L. Ludwig, & S. Nelson (Eds.), Encyclopedia of Knot Theory. CRC Press.

Chapter

2019

2015

Mutant Knots

Morton, H. R. (2015). Mutant Knots. In NEW IDEAS IN LOW DIMENSIONAL TOPOLOGY (Vol. 56, pp. 379-412). Retrieved from https://www.webofscience.com/

Chapter

2014

2011

KNOTS, SATELLITES AND QUANTUM GROUPS

Morton, H. R. (2011). KNOTS, SATELLITES AND QUANTUM GROUPS. In Series on Knots and Everything (pp. 379-406). WORLD SCIENTIFIC. doi:10.1142/9789814313001_0014

DOI
10.1142/9789814313001_0014
Chapter

2010

2009

2008

2007

2006

2004

2003

2001

Power sums and Homfly skein theory

Morton, H. R. (2001). Power sums and Homfly skein theory. Geom. Topol. Monogr., 4, 235-244. Retrieved from http://arxiv.org/abs/math/0111101v3

Journal article

2000

The spread and extreme terms of Jones polynomials

Bae, Y., & Morton, H. R. (2003). The spread and extreme terms of Jones polynomials. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 12(3), 359-373. doi:10.1142/S0218216503002512

DOI
10.1142/S0218216503002512
Journal article

MUTUAL BRAIDING AND THE BAND PRESENTATION OF BRAID GROUPS

MORTON, H. R., & RAMPICHINI, M. (2000). MUTUAL BRAIDING AND THE BAND PRESENTATION OF BRAID GROUPS. In Knots in Hellas '98 (pp. 335-346). WORLD SCIENTIFIC. doi:10.1142/9789812792679_0020

DOI
10.1142/9789812792679_0020
Conference Paper

1999

Multiburau

Morton, H., & Hodgson, J. (1999). Multiburau [Computer Software].

Software / Code

1998

Mutants and SU(3)_q invariants

Morton, H. R., & Ryder, H. J. (1998). Mutants and SU(3)_q invariants. Retrieved from http://arxiv.org/abs/math/9810197v1

Chapter

1997

Idempotents of Hecke algebras of type A.

Aiston, A. K., & Morton, H. R. (1998). Idempotents of Hecke algebras of type A.. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 7(4), 463-487. doi:10.1142/S0218216598000243

DOI
10.1142/S0218216598000243
Journal article

1996

Unitary quantum groups and mutant knots

Morton, H. R. (1996). Unitary quantum groups and mutant knots. In M. -L. Ge, & F. Wu (Eds.), Statistical Models, Yang-Baxter Equation and related Topics (pp. 254-261). Singapore: World Scientific.

Chapter

1995

THE COLORED JONES FUNCTION

MELVIN, P. M., & MORTON, H. R. (1995). THE COLORED JONES FUNCTION. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 169(3), 501-520. doi:10.1007/BF02099310

DOI
10.1007/BF02099310
Journal article

1994

1993

1992

Satellites and surgery invariants

Morton, H. R., & Strickland, P. M. (1992). Satellites and surgery invariants. In A. Kawauchi (Ed.), Knots '90 (pp. 47-66). Amsterdam: Walter de Gruyter.

Chapter

1991

FIBERED LINKS FROM CLOSED BRAIDS

MONTESINOSAMILIBIA, J. M., & MORTON, H. R. (1991). FIBERED LINKS FROM CLOSED BRAIDS. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 62, 167-201. Retrieved from https://www.webofscience.com/

Journal article

Fibred Links from Closed Braids

Montesinos-Amilibia, J. M., & Morton, H. R. (1991). Fibred Links from Closed Braids. Proceedings of the London Mathematical Society, s3-62(1), 167-201. doi:10.1112/plms/s3-62.1.167

DOI
10.1112/plms/s3-62.1.167
Journal article

Generating fibered Links from closed braids

Montesinos Amilibia, J. M., & Morton, H. R. (1991). Generating fibered Links from closed braids. Proceedings of the London Mathematical Society, 62, 167-201.

Journal article

1990

Knots and algebras

Morton, H., & Traczyk, P. (1990). Knots and algebras. In E. Martin-Peinador, & A. Rodez Usan (Eds.), Contribuciones matematicas en homenaje al profesor D. Antonio Plans Sanz de Bremond (pp. 201-219). Zaragoza: University of Zaragoza.

Chapter

Pairs of closed 3-braids with the same Alexander polynomial

Morton, H., & Lozano, M. (1990). Pairs of closed 3-braids with the same Alexander polynomial. In E. Martin-Peinador, & U. A. Rodez (Eds.), Contribuciones matematicas en homenaje al profesor D. Antonio Plans Sanz de Bremond (pp. 173-181). Zaragoza: University of Zaragoza.

Chapter

1989

Threading knot diagrams (by Hugh R. Morton), [Math. Proc. Camb. Phil. Soc. 99(1986), 247–260]

Morton, H. R. (1989). Threading knot diagrams (by Hugh R. Morton), [Math. Proc. Camb. Phil. Soc. 99(1986), 247–260]. In Unknown Book (pp. 171-184). Cambridge University Press. doi:10.1017/cbo9780511613098.007

DOI
10.1017/cbo9780511613098.007
Chapter

1988

Polynomials from braids

Morton, H. R. (1988). Polynomials from braids. In J. S. Birman, & A. Libgober (Eds.), Braids (Vol. 78, pp. 575-585). Providence, Rhode Island: American Mathematical Society.

Chapter

The Jones polynomials of satellites about mutant knots

Morton, H., & Traczyk, P. (1988). The Jones polynomials of satellites about mutant knots. In J. S. Birman, & A. Libgober (Eds.), Braids (Vol. 78, pp. 587-592). Providence, Rhode Island: American Mathematical Society.

Chapter

1987

1986

THE JONES POLYNOMIAL FOR UNORIENTED LINKS

MORTON, H. R. (1986). THE JONES POLYNOMIAL FOR UNORIENTED LINKS. QUARTERLY JOURNAL OF MATHEMATICS, 37(145), 55-60. doi:10.1093/qmath/37.1.55

DOI
10.1093/qmath/37.1.55
Journal article

FIBERED KNOTS OF GENUS-2 FORMED BY PLUMBING HOPF BANDS

MELVIN, P. M., & MORTON, H. R. (1986). FIBERED KNOTS OF GENUS-2 FORMED BY PLUMBING HOPF BANDS. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 34, 159-168. Retrieved from https://www.webofscience.com/

Journal article

Fibred Knots of Genus 2 Formed by Plumbing Hopf Bands

Melvin, P. M., & Morton, H. R. (1986). Fibred Knots of Genus 2 Formed by Plumbing Hopf Bands. Journal of the London Mathematical Society, s2-34(1), 159-168. doi:10.1112/jlms/s2-34.1.159

DOI
10.1112/jlms/s2-34.1.159
Journal article

SEIFERT CIRCLES AND KNOT POLYNOMIALS

MORTON, H. R. (1986). SEIFERT CIRCLES AND KNOT POLYNOMIALS. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 99, 107-109. doi:10.1017/S0305004100063982

DOI
10.1017/S0305004100063982
Journal article

THREADING KNOT DIAGRAMS

MORTON, H. R. (1986). THREADING KNOT DIAGRAMS. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 99, 247-260. doi:10.1017/S0305004100064161

DOI
10.1017/S0305004100064161
Journal article

1985

Advice on Hanging Pictures

Bloore, F. J., & Morton, H. R. (1985). Advice on Hanging Pictures. The American Mathematical Monthly, 92(5), 309-321. doi:10.1080/00029890.1985.11971609

DOI
10.1080/00029890.1985.11971609
Journal article

Advice on Hanging Pictures

Bloore, F. J., & Morton, H. R. (1985). Advice on Hanging Pictures. The American Mathematical Monthly, 92(5), 309. doi:10.2307/2323121

DOI
10.2307/2323121
Journal article

Exchangeable braids

Morton, H. R. (1985). Exchangeable braids. In R. A. Fenn (Ed.), Low dimensional topology (Vol. 95, pp. 86-105). London: London Mathematical Society.

Chapter

1984

1983

AN IRREDUCIBLE 4-STRING BRAID WITH UNKNOTTED CLOSURE

MORTON, H. R. (1983). AN IRREDUCIBLE 4-STRING BRAID WITH UNKNOTTED CLOSURE. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 93(MAR), 259-261. doi:10.1017/S0305004100060540

DOI
10.1017/S0305004100060540
Journal article

Fibred knots with a given Alexander polynomial

Morton, H. R. (1983). Fibred knots with a given Alexander polynomial. In C. Weber (Ed.), Noeuds, tresses et singularites (Vol. 31, pp. 205-222). Geneva: Universite de Geneve.

Chapter

1982

CLOSED CURVES WITH NO QUADRISECANTS

MORTON, H. R., & MOND, D. M. Q. (1982). CLOSED CURVES WITH NO QUADRISECANTS. TOPOLOGY, 21(3), 235-243. doi:10.1016/0040-9383(82)90007-6

DOI
10.1016/0040-9383(82)90007-6
Journal article

1979

A criterion for an embedded surface in R3 to be unknotted

Morton, H. R. (1979). A criterion for an embedded surface in R3 to be unknotted. In R. A. Fenn (Ed.), Topology of low-dimensional manifolds (Vol. 722, pp. 93-98). Heidelberg: Springer.

Chapter

CLOSED BRAIDS WHICH ARE NOT PRIME KNOTS

MORTON, H. R. (1979). CLOSED BRAIDS WHICH ARE NOT PRIME KNOTS. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 86(NOV), 421-426. doi:10.1017/S0305004100056267

DOI
10.1017/S0305004100056267
Journal article

1978

INFINITELY MANY FIBERED KNOTS HAVING SAME ALEXANDER POLYNOMIAL

MORTON, H. R. (1978). INFINITELY MANY FIBERED KNOTS HAVING SAME ALEXANDER POLYNOMIAL. TOPOLOGY, 17(1), 101-104. doi:10.1016/0040-9383(78)90016-2

DOI
10.1016/0040-9383(78)90016-2
Journal article

1977

SOME UNEXPECTEDLY NON-SINGULAR ORBIT SPACES

MORTON, H. R. (1977). SOME UNEXPECTEDLY NON-SINGULAR ORBIT SPACES. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 82(JUL), 35-37. doi:10.1017/S0305004100053652

DOI
10.1017/S0305004100053652
Journal article

1970

Finite orthogonal symmetry

Robertson, S. A., Carter, S., & Morton, H. R. (1970). Finite orthogonal symmetry. Topology, 9(1), 79-95. doi:10.1016/0040-9383(70)90052-2

DOI
10.1016/0040-9383(70)90052-2
Journal article

Joins of polyhedra

Morton, H. R. (1970). Joins of polyhedra. Topology, 9(3), 243-249. doi:10.1016/0040-9383(70)90014-5

DOI
10.1016/0040-9383(70)90014-5
Journal article

1967

The space of homeomorphisms of a disc with $n$ holes

Morton, H. R. (1967). The space of homeomorphisms of a disc with $n$ holes. Illinois Journal of Mathematics, 11(1). doi:10.1215/ijm/1256054781

DOI
10.1215/ijm/1256054781
Journal article

Symmetric products of the circle

Morton, H. R. (1967). Symmetric products of the circle. Mathematical Proceedings of the Cambridge Philosophical Society, 63(2), 349-352. doi:10.1017/s0305004100041256

DOI
10.1017/s0305004100041256
Journal article