Lickorish, W. B. Raymond
Overview
Works:  11 works in 24 publications in 2 languages and 614 library holdings 

Roles:  Author 
Classifications:  QA612.2, 514.224 
Publication Timeline
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Most widely held works by
W. B. Raymond Lickorish
An introduction to knot theory by
W. B. Raymond Lickorish(
Book
)
12 editions published between 1997 and 2013 in English and held by 564 WorldCat member libraries worldwide
This volume is an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in threedimensional space. It consists of a selection of topics which graduate students have found to be a successful introduction to the field. Three distinct techniques are employed; Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology. Each topic is developed until significant results are achieved and chapters end with exercises and brief accounts of stateoftheart research. What may reasonably be referred to as Knot Theory has expanded enormously over the last decade and while the author describes important discoveries throughout the twentienth century, the latest discoveries such as quantum invariants of 3manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily understandable style. Thus this constitutes a comprehensive introduction to the field, presenting modern developments in the context of classical material. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory although explanations throughout the text are plentiful and welldone. Written by an internationally known expert in the field, this volume will appeal to graduate students, mathematicians and physicists with a mathematical background who wish to gain new insights in this area
12 editions published between 1997 and 2013 in English and held by 564 WorldCat member libraries worldwide
This volume is an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in threedimensional space. It consists of a selection of topics which graduate students have found to be a successful introduction to the field. Three distinct techniques are employed; Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology. Each topic is developed until significant results are achieved and chapters end with exercises and brief accounts of stateoftheart research. What may reasonably be referred to as Knot Theory has expanded enormously over the last decade and while the author describes important discoveries throughout the twentienth century, the latest discoveries such as quantum invariants of 3manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily understandable style. Thus this constitutes a comprehensive introduction to the field, presenting modern developments in the context of classical material. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory although explanations throughout the text are plentiful and welldone. Written by an internationally known expert in the field, this volume will appeal to graduate students, mathematicians and physicists with a mathematical background who wish to gain new insights in this area
Polyhedral handlebody theory : notes by Dallas Eugene Webster(
Book
)
2 editions published in 1968 in English and held by 14 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 14 WorldCat member libraries worldwide
On the equivalent spines problem by Alberto Cavicchioli(
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Examples are constructed of compact, connected orientable 3manifolds, regularly embedded in the 3sphere $S^3$, with boundary a connected surface of genus $\ge 2$, which are not homeomorphic, although they possess homeomorphic spines. This solves a problem set forth in 1986 by D. Repovš
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Examples are constructed of compact, connected orientable 3manifolds, regularly embedded in the 3sphere $S^3$, with boundary a connected surface of genus $\ge 2$, which are not homeomorphic, although they possess homeomorphic spines. This solves a problem set forth in 1986 by D. Repovš
A polynomial invariant of oriented links by
W. B. Raymond Lickorish(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
A polynomial invariant for unoriented knots and links by Robert D Brandt(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Musubime riron gaisetsu(
Book
)
2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
Unknotting information from 4manifolds by Thomas Daniel Cochran(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Unknotting information for 4manifolds by Calif.) Mathematical Sciences Research Institute (Berkeley(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
On the equivalent spines problem by Alberto Cavicchioli(
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
On the equivalent spines problems by Alberto Cavicchioli(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Examples are constructed of compact, connected orientable 3manifolds, regularly embedded into $S^3$, and have boundary of genus $\ge 2$, however, they are not homeomorphic, although they admit the same spine. This solves a problem which was asked in 1986 by D. Repovš
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Examples are constructed of compact, connected orientable 3manifolds, regularly embedded into $S^3$, and have boundary of genus $\ge 2$, however, they are not homeomorphic, although they admit the same spine. This solves a problem which was asked in 1986 by D. Repovš
On the equivalent spines problem by Alberto Cavicchioli(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
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