Knots, Low-Dimensional Topology and Applications Knots in Hellas, International Olympic Academy, Greece, July 2016 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Adams, Colin C. (Editor, http://id.loc.gov/vocabulary/relators/edt), Gordon, Cameron McA (Editor, http://id.loc.gov/vocabulary/relators/edt), Jones, Vaughan F.R (Editor, http://id.loc.gov/vocabulary/relators/edt), Kauffman, Louis H. (Editor, http://id.loc.gov/vocabulary/relators/edt), Lambropoulou, Sofia (Editor, http://id.loc.gov/vocabulary/relators/edt), Millett, Kenneth C. (Editor, http://id.loc.gov/vocabulary/relators/edt), Przytycki, Jozef H. (Editor, http://id.loc.gov/vocabulary/relators/edt), Ricca, Renzo (Editor, http://id.loc.gov/vocabulary/relators/edt), Sazdanovic, Radmila (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Proceedings in Mathematics & Statistics, 284
• Subjects: Algebra.; Geometry.; Topology.; Discrete mathematics.; Biomathematics.; Statistical physics.; Discrete Mathematics.; Mathematical and Computational Biology.; Statistical Physics and Dynamical Systems.

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...

Table of 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.