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Knot projections /

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnolds theory of plane curves, Viros quantization of the Arnold invariant, and Vassilievs theory of knots, among others. The presentation exploits th...

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Bibliographic Details
Main Author: Ito, Noboru (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press LLC : Chapman and Hall/CRC, [2016]
Series:Chapman & Hall Book
Subjects:
Knot theory.
Théorie des nœuds.
MATHEMATICS > Topology.
Knot theory
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Knots, knot diagrams, and knot projections
  • Mathematical background, 1920s
  • Topological invariant of know projections, 1930s
  • Classification of knot projections under RI and RII, 1990s
  • Classification by RI and strong or weak RIII, 1996-2015
  • Techniques for counting sub-chord diagrams, 2015-future
  • Hagge-Yazinski theorem, necessity of RIII
  • Further result of strong (1, 3) homotopy
  • Half-twisted splice operations, reductivities, unavoidable sets, triple chords, and strong (1, 2) homotopy
  • Weak (1, 2, 3) homotopy
  • Viro's quantization of Arnold invariant.