Knots, Low-Dimensional Topology and Applications : Knots in Hellas, International Olympic Academy, Greece, July 2016. 1st ed. 2019

種類:

電子ブック

責任表示:

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

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

Adams, Colin C.

Gordon, Cameron McA.

Jones, Vaughan F.R.

Kauffman, Louis H.

Lambropoulou, Sofia.

Millett, Kenneth C.

Przytycki, Jozef H.

Ricca, Renzo.

Sazdanovic, Radmila.

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シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 284

ISBN:

9783030160319 [3030160319]    

注記:

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 a
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

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