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Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource)
The Resource Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource)
Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource)
Resource Information
The item Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This proceedings volume presents a diverse collection of highquality, stateoftheart research and survey articles, written by leading experts, on lowdimensional topology and its applications. The content addresses a wide range of historical and contemporary invariants of knots and links, as well as related topics including: three and fourdimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology, hyperbolic knots and geometric structures of threedimensional manifolds, the mechanism of topological surgery in physical processes, knots in nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The chapters are based on contributions presented at the International Conference on Knots, LowDimensional Topology and Applications  Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and lowdimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study
 Language
 eng
 Edition
 1st ed. 2019.
 Extent
 XII, 476 p. 319 illus., 56 illus. in color.
 Contents

 David Futer, Efstratia Kalfagianni, and Jessica S. Purcell, A survey of hyperbolic knot theory
 Colin Adams, Spanning surfaces for hyperbolic knots in the 3sphere
 Vaughan F.R. Jones, On the construction of knots and links from Thompson's groups
 Louis H. Kauffman, Virtual knot theory and virtual knot cobordism
 J\'ozef H. Przytycki, Knot Theory: from Fox 3colorings of links to YangBaxter homology and Khovanov homology
 W. Edwin Clark and Masahico Saito, Algebraic and computational aspects of quandle 2cocycle invariants
 Sam Nelson, A Survey of Quantum Enhancements
 Nafaa Chbili, From alternating to quasialternating links
 Alexander Stoimenov, Hoste's conjecture and roots of the Alexander polynomial
 Nancy Scherich, A survey of grid diagrams and a proof of Alexander's theorem
 Louis H. Kauffman and Sofia Lambropoulou, Extending the classical skein
 Maria Chlouveraki, From the framisation of the TemperleyLieb algebra to the Jones polynomial: an algebraic approach
 Hoel Queffelec and Antonio Sartori, A note on the ${\mathfrak gl}_{mn}$ link invariants and the HOMFLYPT polynomial
 Mauro Spera, On the geometry of some braid group representations
 Celeste Damiani, Towards a version of Markov's theorem for ribbon toruslinks in ${\Bbb R}^4$
 Ioannis Diamantis, An alternative basis for the Kauffman bracket skein module of the solid torus via braids
 Bostjan Gabrovsek and Eva Horvat, Knot invariants in lens spaces
 Andrey M. Mikhovich, $QR$presentations, schematization, conjurings and identity theorem for pro$p$groups
 Neslihan G\"ug\"umcu, Louis H. Kauffman, and Sofia Lambropoulou, A survey on knotoids, braidoids and their applications
 Rachel E. Ashley and Neil Osheroff, Regulation of DNA Topology by Topoisomerases: Mathematics at the Molecular Level
 Eleni Panagiotou, Topological entanglement and its relation to polymer material properties
 Stathis Antoniou, Louis H. Kauffman, and Sofia Lambropoulou, Topological surgery in the small and in the large
 Isbn
 9783030160319
 Label
 Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016
 Title
 Knots, LowDimensional Topology and Applications
 Title remainder
 Knots in Hellas, International Olympic Academy, Greece, July 2016
 Statement of responsibility
 edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic
 Language
 eng
 Summary
 This proceedings volume presents a diverse collection of highquality, stateoftheart research and survey articles, written by leading experts, on lowdimensional topology and its applications. The content addresses a wide range of historical and contemporary invariants of knots and links, as well as related topics including: three and fourdimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology, hyperbolic knots and geometric structures of threedimensional manifolds, the mechanism of topological surgery in physical processes, knots in nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The chapters are based on contributions presented at the International Conference on Knots, LowDimensional Topology and Applications  Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and lowdimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study
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 Adams, Colin
 Gordon, Cameron
 Jones, Vaughan F.R.
 Kauffman, Louis H.
 Lambropoulou, Sofia
 Millett, Kenneth C.
 Przytycki, Jozef H.
 Ricca, Renzo.
 Sazdanovic, Radmila.
 Series statement
 Springer Proceedings in Mathematics & Statistics,
 Series volume
 284
 http://library.link/vocab/subjectName

 Algebra
 Geometry
 Topology
 Discrete mathematics
 Biomathematics
 Statistical physics
 Algebra
 Geometry
 Topology
 Discrete Mathematics
 Mathematical and Computational Biology
 Statistical Physics and Dynamical Systems
 Label
 Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource)
 Antecedent source
 mixed
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 online resource
 Carrier category code

 cr
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 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 David Futer, Efstratia Kalfagianni, and Jessica S. Purcell, A survey of hyperbolic knot theory  Colin Adams, Spanning surfaces for hyperbolic knots in the 3sphere  Vaughan F.R. Jones, On the construction of knots and links from Thompson's groups  Louis H. Kauffman, Virtual knot theory and virtual knot cobordism  J\'ozef H. Przytycki, Knot Theory: from Fox 3colorings of links to YangBaxter homology and Khovanov homology  W. Edwin Clark and Masahico Saito, Algebraic and computational aspects of quandle 2cocycle invariants  Sam Nelson, A Survey of Quantum Enhancements  Nafaa Chbili, From alternating to quasialternating links  Alexander Stoimenov, Hoste's conjecture and roots of the Alexander polynomial  Nancy Scherich, A survey of grid diagrams and a proof of Alexander's theorem  Louis H. Kauffman and Sofia Lambropoulou, Extending the classical skein  Maria Chlouveraki, From the framisation of the TemperleyLieb algebra to the Jones polynomial: an algebraic approach  Hoel Queffelec and Antonio Sartori, A note on the ${\mathfrak gl}_{mn}$ link invariants and the HOMFLYPT polynomial  Mauro Spera, On the geometry of some braid group representations  Celeste Damiani, Towards a version of Markov's theorem for ribbon toruslinks in ${\Bbb R}^4$  Ioannis Diamantis, An alternative basis for the Kauffman bracket skein module of the solid torus via braids  Bostjan Gabrovsek and Eva Horvat, Knot invariants in lens spaces  Andrey M. Mikhovich, $QR$presentations, schematization, conjurings and identity theorem for pro$p$groups  Neslihan G\"ug\"umcu, Louis H. Kauffman, and Sofia Lambropoulou, A survey on knotoids, braidoids and their applications  Rachel E. Ashley and Neil Osheroff, Regulation of DNA Topology by Topoisomerases: Mathematics at the Molecular Level  Eleni Panagiotou, Topological entanglement and its relation to polymer material properties  Stathis Antoniou, Louis H. Kauffman, and Sofia Lambropoulou, Topological surgery in the small and in the large
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XII, 476 p. 319 illus., 56 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030160319
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030160319
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030160319
 Label
 Knots, LowDimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016, edited by Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 David Futer, Efstratia Kalfagianni, and Jessica S. Purcell, A survey of hyperbolic knot theory  Colin Adams, Spanning surfaces for hyperbolic knots in the 3sphere  Vaughan F.R. Jones, On the construction of knots and links from Thompson's groups  Louis H. Kauffman, Virtual knot theory and virtual knot cobordism  J\'ozef H. Przytycki, Knot Theory: from Fox 3colorings of links to YangBaxter homology and Khovanov homology  W. Edwin Clark and Masahico Saito, Algebraic and computational aspects of quandle 2cocycle invariants  Sam Nelson, A Survey of Quantum Enhancements  Nafaa Chbili, From alternating to quasialternating links  Alexander Stoimenov, Hoste's conjecture and roots of the Alexander polynomial  Nancy Scherich, A survey of grid diagrams and a proof of Alexander's theorem  Louis H. Kauffman and Sofia Lambropoulou, Extending the classical skein  Maria Chlouveraki, From the framisation of the TemperleyLieb algebra to the Jones polynomial: an algebraic approach  Hoel Queffelec and Antonio Sartori, A note on the ${\mathfrak gl}_{mn}$ link invariants and the HOMFLYPT polynomial  Mauro Spera, On the geometry of some braid group representations  Celeste Damiani, Towards a version of Markov's theorem for ribbon toruslinks in ${\Bbb R}^4$  Ioannis Diamantis, An alternative basis for the Kauffman bracket skein module of the solid torus via braids  Bostjan Gabrovsek and Eva Horvat, Knot invariants in lens spaces  Andrey M. Mikhovich, $QR$presentations, schematization, conjurings and identity theorem for pro$p$groups  Neslihan G\"ug\"umcu, Louis H. Kauffman, and Sofia Lambropoulou, A survey on knotoids, braidoids and their applications  Rachel E. Ashley and Neil Osheroff, Regulation of DNA Topology by Topoisomerases: Mathematics at the Molecular Level  Eleni Panagiotou, Topological entanglement and its relation to polymer material properties  Stathis Antoniou, Louis H. Kauffman, and Sofia Lambropoulou, Topological surgery in the small and in the large
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XII, 476 p. 319 illus., 56 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030160319
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030160319
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030160319
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