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**Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016.**
*(English)*
Zbl 1419.57001

Springer Proceedings in Mathematics & Statistics 284. Cham: Springer (ISBN 978-3-030-16030-2/hbk; 978-3-030-16031-9/ebook). xii, 476 p. (2019).

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Show indexed articles as search result.
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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; 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 contents is 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 international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology.

This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.

The articles of this volume will be reviewed individually.

Indexed articles:

Futer, David; Kalfagianni, Efstratia; Purcell, Jessica S., A survey of hyperbolic knot theory, 1-30 [Zbl 1423.57010]

Adams, Colin C., Spanning surfaces for hyperbolic knots in the 3-sphere, 31-42 [Zbl 1423.57005]

Jones, Vaughan F. R., On the construction of knots and links from Thompson’s groups, 43-66 [Zbl 1423.57013]

Kauffman, Louis H., Virtual knot theory and virtual knot cobordism, 67-114 [Zbl 1426.57025]

Przytycki, Józef H., Knot theory: from Fox 3-colorings of links to Yang-Baxter homology and Khovanov homology, 115-145 [Zbl 1426.57020]

Clark, W. Edwin; Saito, Masahico, Algebraic and computational aspects of quandle 2-cocycle invariant, 147-162 [Zbl 1423.57009]

Nelson, Sam, A survey of quantum enhancements, 163-178 [Zbl 1423.57016]

Chbili, Nafaa, From alternating to quasi-alternating links, 179-189 [Zbl 1423.57008]

Stoimenov, Alexander, Hoste’s conjecture and roots of the Alexander polynomial, 191-206 [Zbl 1423.57021]

Scherich, Nancy C., A survey of grid diagrams and a proof of Alexander’s theorem, 207-224 [Zbl 1423.57019]

Kauffman, Louis H.; Lambropoulou, Sofia, Extending the classical skein, 225-245 [Zbl 1423.57029]

Chlouveraki, Maria, From the framisation of the Temperley-Lieb algebra to the Jones polynomial: an algebraic approach, 247-276 [Zbl 1423.57023]

Queffelec, Hoel; Sartori, Antonio, A note on \(\mathfrak{gl}_{m|n}\) link invariants and the HOMFLY-PT polynomial, 277-286 [Zbl 1423.57018]

Spera, Mauro, On the geometry of some braid group representations, 287-308 [Zbl 1432.53001]

Damiani, Celeste, Towards a version of Markov’s theorem for ribbon torus-links in \(\mathbb{R}^4\), 309-328 [Zbl 1423.57044]

Diamantis, Ioannis, An alternative basis for the Kauffman bracket skein module of the solid torus via braids, 329-345 [Zbl 1423.57024]

Gabrovšek, Boštjan; Horvat, Eva, Knot invariants in lens spaces, 347-361 [Zbl 1423.57011]

Mikhovich, Andrey M., Identity theorem for pro-\(p\)-groups, 363-387 [Zbl 1466.20026]

Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia, A survey on knotoids, braidoids and their applications, 389-409 [Zbl 1423.57027]

Ashley, Rachel E.; Osheroff, Neil, Regulation of DNA topology by topoisomerases: mathematics at the molecular level, 411-433 [Zbl 1425.92147]

Panagiotou, Eleni, Topological entanglement and its relation to polymer material properties, 435-447 [Zbl 1425.92227]

Antoniou, Stathis; Kauffman, Louis H.; Lambropoulou, Sofia, Topological surgery in the small and in the large, 449-456 [Zbl 1423.57006]

### MSC:

57-06 | Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes |

57Mxx | General low-dimensional topology |

00B25 | Proceedings of conferences of miscellaneous specific interest |

00B30 | Festschriften |

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\textit{C. C. Adams} (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17--23, 2016. Cham: Springer (2019; Zbl 1419.57001)

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