220 Pages
by Chapman & Hall

220 Pages 210 B/W Illustrations
by Chapman & Hall

220 Pages 210 B/W Illustrations
by Chapman & Hall

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior... Read more

Introduction. Mathematical Background. A topological invariant of knot projections. Classification by RI and RII. Classification by strong and weak RIII. Constructing new topological invariants of equivalence classes of knot projections. Survey on classification problems of knot projections.

Biography

Noboru Ito is currently a project researcher at the University of Tokyo, Japan. He was previously an assistant professor and associate professor of Mathematics at the Waseda Institute for Advanced Study, in Tokyo, Japan.

"Overall, this book's clear exposition makes it equally approachable to experts working in knot theory and graduate students who are just learning about the subject. It provides a comprehensive guide to current research on knot projections and different notions of equivalence along with many interesting exercises and open questions for exploration."

- Allison Henrich, Mathematical Reviews, July 2017