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Knots, Low-Dimensional Topology and Applications: Knots in Hellas, International Olympic Academy, Greece, July 2016 2019 ed. [Hardback]

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  • Formāts: Hardback, 476 pages, height x width: 235x155 mm, weight: 893 g, 56 Illustrations, color; 263 Illustrations, black and white; XII, 476 p. 319 illus., 56 illus. in color., 1 Hardback
  • Sērija : Springer Proceedings in Mathematics & Statistics 284
  • Izdošanas datums: 27-Jun-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • ISBN-10: 3030160300
  • ISBN-13: 9783030160302
  • Hardback
  • Cena: 162,93 €*
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  • Formāts: Hardback, 476 pages, height x width: 235x155 mm, weight: 893 g, 56 Illustrations, color; 263 Illustrations, black and white; XII, 476 p. 319 illus., 56 illus. in color., 1 Hardback
  • Sērija : Springer Proceedings in Mathematics & Statistics 284
  • Izdošanas datums: 27-Jun-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • ISBN-10: 3030160300
  • ISBN-13: 9783030160302

This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. 

The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as 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 contents is 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 international 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.


A Survey of Hyperbolic Knot Theory
1(30)
David Futer
Efstratia Kalfagianni
Jessica S. Purcell
Spanning Surfaces for Hyperbolic Knots in the 3-Sphere
31(12)
Colin C. Adams
On the Construction of Knots and Links from Thompson's Groups
43(24)
Vaughan F. R. Jones
Virtual Knot Theory and Virtual Knot Cobordism
67(48)
Louis H. Kauffman
Knot Theory: From Fox 3-Colorings of Links to Yang-Baxter Homology and Khovanov Homology
115(32)
Jozef H. Przytycki
Algebraic and Computational Aspects of Quandle 2-Cocycle Invariant
147(16)
W. Edwin Clark
Masahico Saito
A Survey of Quantum Enhancements
163(16)
Sam Nelson
From Alternating to Quasi-Alternating Links
179(12)
Nafaa Chbili
Hoste's Conjecture and Roots of the Alexander Polynomial
191(16)
Alexander Stoimenov
A Survey of Grid Diagrams and a Proof of Alexander's Theorem
207(18)
Nancy C. Scherich
Extending the Classical Skein
225(22)
Louis H. Kauffman
Sofia Lambropoulou
From the Framisation of the Temperley-Lieb Algebra to the Jones Polynomial: An Algebraic Approach
247(30)
Maria Chlouveraki
A Note on glm|n Link Invariants and the HOMFLY-PT Polynomial
277(10)
Hoel Queffelec
Antonio Sartori
On the Geometry of Some Braid Group Representations
287(22)
Mauro Spera
Towards a Version of Markov's Theorem for Ribbon Torus-Links in R4
309(20)
Celeste Damiani
An Alternative Basis for the Kauffman Bracket Skein Module of the Solid Torus via Braids
329(18)
Ioannis Diamantis
Knot Invariants in Lens Spaces
347(16)
Bostjan Gabrovsek
Eva Horvat
Identity Theorem for Pro-p-groups
363(26)
Andrey M. Mikhovich
A Survey on Knotoids, Braidoids and Their Applications
389(22)
Neslihan Gugumcii
Louis H. Kauffman
Sofia Lambropoulou
Regulation of DNA Topology by Topoisomerases: Mathematics at the Molecular Level
411(24)
Rachel E. Ashley
Neil Osheroff
Topological Entanglement and Its Relation to Polymer Material Properties
435(14)
Eleni Panagiotou
Topological Surgery in the Small and in the Large
449(8)
Stathis Antoniou
Louis H. Kauffman
Sofia Lambropoulou
Conference Program
457(10)
List of Participants 467