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Knot Theory and Its Applications

About this Title

Krishnendu Gongopadhyay, Indian Institute of Science Education and Research, Mohali, Punjab, India and Rama Mishra, Indian Institute of Science Education and Research, Pune, Pune, India, Editors

Publication: Contemporary Mathematics
Publication Year: 2016; Volume 670
ISBNs: 978-1-4704-2257-8 (print); 978-1-4704-3526-4 (online)
DOI: https://doi.org/10.1090/conm/670

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Table of Contents

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Front/Back Matter

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Lecture notes

• Louis H. Kauffman – Knot Theory
• Slavik V. Jablan and Radmila Sazdanovic – From Conway Notation to LinKnot
• Seiichi Kamada – Surface-knots
• Louis H. Kauffman – An Introduction to Khovanov Homology
• Akio Kawauchi – Knot Theory for Spatial Graphs Attached to a Surface
• Józef H. Przytycki – Knots and Graphs: Two Centuries of Interaction

Research expositions

• Benjamin Audoux – On the Welded Tube Map
• Valeriy G. Bardakov and Paolo Bellingeri – On Representations of Braids as Automorphisms of Free Groups and Corresponding Linear Representations
• Nafaa Chbili – Ribbon Graphs and Temperley-Lieb Algebra
• Naoko Kamada – On Twisted Knots
• Kanji Morimoto – Tunnel Numbers of Knots
• Ayaka Shimizu – The Warping Matrix of a Knot Diagram
• S. Vikash and P. Madeti – On Arf Invariant and Trivializing Number