Knots, Low-Dimensional Topology and Applications

Knots in Hellas, International Olympic Academy, Greece, July 2016

Häftad, Engelska, 2020

Av 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, Cameron McA Gordon, Vaughan F. R. Jones

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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;

Produktinformation

Utgivningsdatum2020-08-14
Mått155 x 235 x 27 mm
Vikt733 g
FormatHäftad
SpråkEngelska
SerieSpringer Proceedings in Mathematics & Statistics
Antal sidor476
FörlagSpringer Nature Switzerland AG
ISBN9783030160333

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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.