Knots, Low-Dimensional Topology and Applications

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

AvColin C. Adams,Cameron McA. Gordon

Inbunden, Engelska, 2019

Del 284 i serien Springer Proceedings in Mathematics & Statistics

1 906 kr

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Beskrivning

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

Utgivningsdatum:2019-06-27
Mått:155 x 235 x 32 mm
Vikt:893 g
Format:Inbunden
Språk:Engelska
Serie:Springer Proceedings in Mathematics & Statistics
Antal sidor:476
Förlag:Springer Nature Switzerland AG
ISBN:9783030160302

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.

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