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Knots, Low-Dimensional Topology and Applications

Knots, Low-Dimensional Topology and Applications


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About the Book

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 ${\mathfrak gl}_{mn}$ 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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Product Details
  • ISBN-13: 9783030160333
  • Publisher: Springer International Publishing
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 476
  • Series Title: Springer Proceedings in Mathematics & Statistics
  • Sub Title: Knots in Hellas, International Olympic Academy, Greece, July 2016
  • Width: 156 mm
  • ISBN-10: 3030160335
  • Publisher Date: 14 Aug 2020
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 25 mm
  • Weight: 730 gr


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