Knot Theory and Its Applications

Knot Theory and Its Applications

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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.
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Product details

  • Paperback | 357 pages
  • 178 x 254 x 19.05mm | 544.31g
  • Providence, United States
  • English
  • 1470422573
  • 9781470422578

Table of contents

Lecture notes: L. H. Kauffman, Knot theory
S. V. Jablan and R. Sazdanovic, From Conway notation to LinKnot
S. Kamada, Surface-knots
L. H. Kauffman, An introduction to Khovanov homology
A. Kawauchi, Knot theory for spatial graphs attached to a surface
J. H. Przytycki, Knots and graphs: Two centuries of interaction
Research expositions: B. Audoux, On the welded tube map
V. G. Bardakov and P. Bellingeri, On representations of braids as automorphisms of free groups and corresponding linear representations
N. Chbili, Ribbon graphs and Temperley-Lieb algebra
N. Kamada, On twisted knots
K. Morimoto, Tunnel numbers of knots
A. Shimizu, The warping matrix of a knot diagram
S. Vikash and P. Madeti, On Arf invariant and trivializing number.
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About Krishnendu Gongopadhyay

Krishnendu Gongopadhyay, Indian Institute of Science Education and Research, Mohali, Punjab, India.

Rama Mishra, Indian Institute of Science Education and Research, Pune, India.
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