Knot Projections

ISBN-13: 9780367658298 / Angielski / Miękka / 2020 / 200 str.

Noboru Ito

Opis

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

Spis treści

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.

O autorze

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.