The Resource Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others]
Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others]
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The item Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into threedimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3manifold topology in the last 25 years. From the Jones, Homflypt and Kauffman polynomials, quantum invariants of 3manifolds, through, Vassiliev invariants, topological quantum field theories, to relations with gauge theory type invariants in 4dimensional topology. More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed HeegaardFloer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with fourdimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book. It is a remarkable fact that knot theory, while very special in its problematic form, involves ideas and techniques that involve and inform much of mathematics and theoretical physics. The subject has significant applications and relations with biology, physics, combinatorics, algebra and the theory of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book gives an indepth survey of the state of the art of present day knot theory and its applications
 Language
 eng
 Extent
 1 online resource (xi, 519 pages)
 Contents

 On the unification of quantum 3manifold invariants / A. Beliakova and T. Le
 A survey of quandle ideas / J. Scott Carter
 Combinatorics of Vassiliev invariants / S. Chmutov
 Braid order, sets, and knots / P. Dehornoy
 Finding knot invariants from diagram colouring / R. Fenn
 Exceptional Dehn filling / C. McA Gordon
 Graphlinks / D.P. Ilyutko and V.O. Manturov
 Diagrammatic knot properties and invariants / S.V. Jablan and R. Sazdanovic
 Hard unknots and collapsing tangles / L.H. Kauffman and S. Lambropoulou
 Khovanov homology / L.H. Kauffman
 Braid equivalences and the Lmoves / S. Lambropoulou
 Free knots and parity / V.O. Manturov
 Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers / K.C. Millett
 Knots, satellites and quantum groups / H.R. Morton
 The Trieste look at knot theory / J.H. Przytycki
 Detection of chirality and mutations of knots and links / R. Pichai
 Physical knot theory: the study of sizes and shapes of polymers / E.J. Rawdon
 Derivation and interpretation of the Gauss linking number / R.L. Ricca and B. Nipoti
 Isbn
 9789814313001
 Label
 Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009
 Title
 Introductory lectures on knot theory
 Title remainder
 selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009
 Statement of responsibility
 editors, Louis H. Kauffman [and others]
 Language
 eng
 Summary
 This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into threedimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3manifold topology in the last 25 years. From the Jones, Homflypt and Kauffman polynomials, quantum invariants of 3manifolds, through, Vassiliev invariants, topological quantum field theories, to relations with gauge theory type invariants in 4dimensional topology. More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed HeegaardFloer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with fourdimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book. It is a remarkable fact that knot theory, while very special in its problematic form, involves ideas and techniques that involve and inform much of mathematics and theoretical physics. The subject has significant applications and relations with biology, physics, combinatorics, algebra and the theory of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book gives an indepth survey of the state of the art of present day knot theory and its applications
 Cataloging source
 N$T
 Dewey number
 514.2242
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA612.2
 LC item number
 .I67 2012eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1945
 2009
 http://library.link/vocab/relatedWorkOrContributorName

 Kauffman, Louis H.
 Abdus Salam International Centre for Theoretical Physics
 Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology
 Series statement
 Series on knots and everything
 Series volume
 v. 46
 http://library.link/vocab/subjectName

 Knot theory
 MATHEMATICS
 Knot theory
 Label
 Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others]
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the unification of quantum 3manifold invariants / A. Beliakova and T. Le  A survey of quandle ideas / J. Scott Carter  Combinatorics of Vassiliev invariants / S. Chmutov  Braid order, sets, and knots / P. Dehornoy  Finding knot invariants from diagram colouring / R. Fenn  Exceptional Dehn filling / C. McA Gordon  Graphlinks / D.P. Ilyutko and V.O. Manturov  Diagrammatic knot properties and invariants / S.V. Jablan and R. Sazdanovic  Hard unknots and collapsing tangles / L.H. Kauffman and S. Lambropoulou  Khovanov homology / L.H. Kauffman  Braid equivalences and the Lmoves / S. Lambropoulou  Free knots and parity / V.O. Manturov  Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers / K.C. Millett  Knots, satellites and quantum groups / H.R. Morton  The Trieste look at knot theory / J.H. Przytycki  Detection of chirality and mutations of knots and links / R. Pichai  Physical knot theory: the study of sizes and shapes of polymers / E.J. Rawdon  Derivation and interpretation of the Gauss linking number / R.L. Ricca and B. Nipoti
 Control code
 777561703
 Dimensions
 unknown
 Extent
 1 online resource (xi, 519 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789814313001
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)777561703
 Label
 Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others]
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the unification of quantum 3manifold invariants / A. Beliakova and T. Le  A survey of quandle ideas / J. Scott Carter  Combinatorics of Vassiliev invariants / S. Chmutov  Braid order, sets, and knots / P. Dehornoy  Finding knot invariants from diagram colouring / R. Fenn  Exceptional Dehn filling / C. McA Gordon  Graphlinks / D.P. Ilyutko and V.O. Manturov  Diagrammatic knot properties and invariants / S.V. Jablan and R. Sazdanovic  Hard unknots and collapsing tangles / L.H. Kauffman and S. Lambropoulou  Khovanov homology / L.H. Kauffman  Braid equivalences and the Lmoves / S. Lambropoulou  Free knots and parity / V.O. Manturov  Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers / K.C. Millett  Knots, satellites and quantum groups / H.R. Morton  The Trieste look at knot theory / J.H. Przytycki  Detection of chirality and mutations of knots and links / R. Pichai  Physical knot theory: the study of sizes and shapes of polymers / E.J. Rawdon  Derivation and interpretation of the Gauss linking number / R.L. Ricca and B. Nipoti
 Control code
 777561703
 Dimensions
 unknown
 Extent
 1 online resource (xi, 519 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9789814313001
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)777561703
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.umsl.edu/portal/Introductorylecturesonknottheoryselected/Q8IjHrxDM2Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Introductorylecturesonknottheoryselected/Q8IjHrxDM2Y/">Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009, editors, Louis H. Kauffman [and others]</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of MissouriSt. Louis Libraries</a></span></span></span></span></div>