Knots, Low-Dimensional Topology and Applications

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

  • 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
Conference proceedings KNOTS16 2016

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 284)

Table of contents

  1. Front Matter
    Pages i-xii
  2. David Futer, Efstratia Kalfagianni, Jessica S. Purcell
    Pages 1-30
  3. Louis H. Kauffman
    Pages 67-114
  4. W. Edwin Clark, Masahico Saito
    Pages 147-162
  5. Sam Nelson
    Pages 163-178
  6. Nafaa Chbili
    Pages 179-189
  7. Louis H. Kauffman, Sofia Lambropoulou
    Pages 225-245
  8. Boštjan Gabrovšek, Eva Horvat
    Pages 347-361
  9. Andrey M. Mikhovich
    Pages 363-387
  10. Neslihan Gügümcü, Louis H. Kauffman, Sofia Lambropoulou
    Pages 389-409
  11. Stathis Antoniou, Louis H. Kauffman, Sofia Lambropoulou
    Pages 449-456
  12. Back Matter
    Pages 457-476

About these proceedings


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 as related topics including: 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 chapters are 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 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.


Knot Theory Virtual Knot Theory Low-Dimensional Topology Knot and Link Invariants Braids Skein Modules Topological Quantum Field Theory Quandles and their Homology Hyperbolic Knots Physical Knots Applications to Fluid Flows, to Polymers, to Natural Sciences DNA Enzyme Mechanisms Protein Structure and Function Biochemistry

Editors and affiliations

  • Colin C. Adams
    • 1
  • Cameron McA. Gordon
    • 2
  • Vaughan F.R. Jones
    • 3
  • Louis H. Kauffman
    • 4
  • Sofia Lambropoulou
    • 5
  • Kenneth C. Millett
    • 6
  • Jozef H. Przytycki
    • 7
  • Renzo Ricca
    • 8
  • Radmila Sazdanovic
    • 9
  1. 1.Department of MathematicsWilliams CollegeWilliamstownUSA
  2. 2.Department of MathematicsUniversity of Texas at AustinAustinUSA
  3. 3.Department of MathematicsVanderbilt UniversityNashvilleUSA
  4. 4.Department of Mathematics, Statistics and Computer ScienceUniversity of Illinois at ChicagoChicagoUSA
  5. 5.School of Applied Mathematical and Physical SciencesNational Technical University of AthensAthensGreece
  6. 6.Department of MathematicsUniversity of California, Santa BarbaraSanta BarbaraUSA
  7. 7.Department of Mathematics, Columbian College of Arts & SciencesGeorge Washington UniversityWashingtonUSA
  8. 8.Department of Mathematics and ApplicationsUniversity of Milano-BicoccaMilanoItaly
  9. 9.Department of MathematicsNorth Carolina State UniversityRaleighUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-16030-2
  • Online ISBN 978-3-030-16031-9
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site
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