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)
This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India.
The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas.
This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.
Graduate students and research mathematicians interested in knot theory.
Table of Contents
- 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
- 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