Coverart for item
The Resource Knots, Low-Dimensional 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, Low-Dimensional 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)

Label
Knots, Low-Dimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016
Title
Knots, Low-Dimensional 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
Contributor
Editor
Editor
Subject
Language
eng
Summary
This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles, written by leading experts, on low-dimensional 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 four-dimensional 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 three-dimensional 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, Low-Dimensional 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 low-dimensional 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
Member of
Is part of
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
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Image bit depth
0
LC call number
QA150-272
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
  • 1956-
  • 1945-
http://library.link/vocab/relatedWorkOrContributorName
  • 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, Low-Dimensional 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)
Instantiates
Publication
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 3-sphere -- 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 3-colorings of links to Yang-Baxter homology and Khovanov homology -- W. Edwin Clark and Masahico Saito, Algebraic and computational aspects of quandle 2-cocycle invariants -- Sam Nelson, A Survey of Quantum Enhancements -- Nafaa Chbili, From alternating to quasi-alternating 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 Temperley-Lieb algebra to the Jones polynomial: an algebraic approach -- Hoel Queffelec and Antonio Sartori, A note on the ${\mathfrak gl}_{m|n}$ link invariants and the HOMFLY-PT polynomial -- Mauro Spera, On the geometry of some braid group representations -- Celeste Damiani, Towards a version of Markov's theorem for ribbon torus-links 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
10.1007/978-3-030-16031-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-16031-9
Label
Knots, Low-Dimensional 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)
Publication
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 3-sphere -- 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 3-colorings of links to Yang-Baxter homology and Khovanov homology -- W. Edwin Clark and Masahico Saito, Algebraic and computational aspects of quandle 2-cocycle invariants -- Sam Nelson, A Survey of Quantum Enhancements -- Nafaa Chbili, From alternating to quasi-alternating 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 Temperley-Lieb algebra to the Jones polynomial: an algebraic approach -- Hoel Queffelec and Antonio Sartori, A note on the ${\mathfrak gl}_{m|n}$ link invariants and the HOMFLY-PT polynomial -- Mauro Spera, On the geometry of some braid group representations -- Celeste Damiani, Towards a version of Markov's theorem for ribbon torus-links 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
10.1007/978-3-030-16031-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-16031-9

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