W. B. R. Lickorish

W. B. R. Lickorish's AcademicInfluence.com Rankings

W. B. R. Lickorish

Mathematics

#727

World Rank

#1324

Historical Rank

Topology

#16

World Rank

#30

Historical Rank

Measure Theory

#1482

World Rank

#1853

Historical Rank

mathematics Degrees

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Mathematics

Why Is W. B. R. Lickorish Influential?

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According to Wikipedia, William Bernard Raymond Lickorish is a mathematician. He is emeritus professor of geometric topology in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and also an emeritus fellow of Pembroke College, Cambridge. His research interests include topology and knot theory. He was one of the discoverers of the HOMFLY polynomial invariant of links, and proved the Lickorish-Wallace theorem which states that all closed orientable 3-manifolds can be obtained by Dehn surgery on a link.

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W. B. R. Lickorish's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A new polynomial invariant of knots and links (1985) (1110)
A Representation of Orientable Combinatorial 3-Manifolds (1962) (546)
An Introduction to Knot Theory (1997) (361)
A finite set of generators for the homeotopy group of a 2-manifold (1964) (322)
Some links with non-trivial polynomials and their crossing-numbers (1988) (178)
Simplicial moves on complexes and manifolds (1999) (166)
Homeomorphisms of non-orientable two-manifolds (1963) (164)
A polynomial invariant for unoriented knots and links (1986) (146)
THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS (1993) (107)
Prime knots and tangles (1981) (102)
Three-manifolds and the Temperley-Lieb algebra (1991) (81)
AUTOMORPHISMS OF SURFACES AFTER NIELSEN AND THURSTON (London Mathematical Society Student Texts 9) (1990) (80)
Calculations with the temperley—Lieb algebra (1992) (71)
Invariants for $3$-manifolds from the combinatorics of the Jones polynomial. (1991) (70)
The unknotting number of a classical knot (1985) (67)
The Alexander Polynomial (1997) (66)
Prime knots and concordance (1979) (65)
Unshellable Triangulations of Spheres (1991) (64)
On the homeomorphisms of a non-orientable surface (1965) (64)
Unknotting information from 4-manifolds (1986) (62)
Polynomials for Links (1988) (55)
Some evaluations of link polynomials (1986) (50)
The piecewise linear unknotting of cones (1965) (48)
A Foliation for 3-Manifolds (1965) (44)
A relationship between link polynomials (1986) (44)
The New Polynomial Invariants of Knots and Links. (1988) (40)
Skeins and handlebodies (1993) (39)
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (1994) (37)
The reversing result for the Jones polynomial. (1986) (34)
Polynomials of 2-cable-like links (1987) (34)
Piecewise linear critical levels and collapsing (1972) (31)
On the homeotopy group of a 2-manifold (corrigendum) (1966) (29)
SURGERY ON KNOTS (1976) (26)
REGULAR NEIGHBOURHOODS AND THE STABLE RANGE (1969) (23)
Distinct 3-manifolds with all SU(2)q invariants the same (1993) (22)
Linear skein theory and link polynomials (1987) (22)
Unknotting by adding a Twisted Band (1986) (21)
Some link-polynomial relations (1989) (19)
Triangulations of the $3$-ball with knotted spanning $1$-simplexes and collapsible $r$th derived subdivisions (1969) (18)
Mutations of links in genus 2 handlebodies (1999) (14)
Sampling the SU(N) Invariants of Three-Manifolds (1997) (12)
Shake — Slice knots (1979) (9)
EXTENDING PIECEWISE LINEAR CONCORDANCES (1971) (9)
An evaluation of the F-polynomial of a link (1988) (8)
An unsplittable triangulation. (1971) (7)
Skeins, SU(N) three-manifold invariants and TQFT (2000) (7)
Knotted contractible 4-manifolds in S4 (2003) (5)
An improbable collapse (1973) (4)
Knotted contractible 4-manifolds in the 4-sphere (2001) (4)
On the equivalent spines problem (1997) (4)
Splittings of S4 (2004) (3)
A characterization of the ball (1964) (3)
On derivatives of link polynomials (1998) (3)
Quantum Invariants of 3-Manifolds (2001) (2)
The irreducibility of the $3$-sphere. (1989) (1)
The Jones Polynomial of an Alternating Link (1997) (1)
Obtaining 3-Manifolds by Surgery on S 3 (1997) (1)
A counter-example to the three balls problem (1969) (1)
A FIRST COURSE IN ALGEBRAIC TOPOLOGY (1981) (0)
Variants on 3-manifold invariants (1992) (0)
Three-manifolds as branched covers (1973) (0)
Cyclic Branched Covers and the Goeritz Matrix (1997) (0)
Methods for Calculating Quantum Invariants (1997) (0)
Homeomorphisms of Sp∗Sq Fixed onSp∪Sq (1968) (0)
The Jones Polynomial (1997) (0)
III.44 Knot Polynomials (2010) (0)
The Conway Polynomial, Signatures and Slice Knots (1997) (0)
The Harmony of the World: The New Polynomial Invariants of Knots and Links (2007) (0)
Topological Ramifications: Knob and Physics . Louis H. Kauffman. World Scientific, Teaneck, NJ, 1991. xii, 538 pp., illus. $65; paper, $34. Series on Knots and Everything, vol. 1. (1992) (0)
Exploring the HOMFLY and Kauffman Polynomials (1997) (0)
Generalisations of the Jones Polynomial (1997) (0)
Seifert Surfaces and Knot Factorisation (1997) (0)
The impossibility of desuspending collapses (1968) (0)
3-Manifold Invariants from the Jones Polynomial (1997) (0)
A Beginning for Knot Theory (1997) (0)
A REPRESENTATION OF ORIENTABLE (2016) (0)
THE COLLECTED PAPERS OF R H BING Volumes 1 and 2 (1994) (0)
I Is a Quantization. 4. If We Modify the Multiplication of Links in F I (0)
Polyhedral handlebody theory (1968) (0)
The Arf Invariant and the Jones Polynomial (1997) (0)
Geometry of Alternating Links (1997) (0)
The Fundamental Group (1997) (0)
Topological ramifications. (1992) (0)

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