History of Knot Theory

2007/03/03 by Jozef H. Przytycki, Przytycki, Jozef H.
Mathematics · #01A (secondary) #57M (primary) #FOS: Mathematics #Geometric Topology (math.GT) #History and Overview (math.HO) #math.GT #math.HO #msc:01A #msc:57M

paper · pdf · doi:10.48550/arxiv.math/0703096

53 pages, 29 figures, Chapter II of the book KNOTS: From combinatorics of knot diagrams to combinatorial topology based on knots

arxiv created 2007/03/03 · arxiv updated 2009/12/01

Abstract

We present in this chapter (Chapter II) the history of ideas which lead up to the development of modern knot theory. We are more detailed when pre-XX century history is reported. With more recent times we are more selective, stressing developments related to Jones type invariants of links. In the Appendix, A.Przybyszewska translation of Preface to P.Heegaard Dissertation (1898) is given.

Related

• Survey on recent invariants on classical knot theory
• Elementary knot theory
• Knot Theory: from Fox 3-colorings of links to Yang-Baxter homology and Khovanov homology
• Notes to the early history of the Knot Theory in Japan
• Review of "Knots" by Alexei Sossinsky, Harvard University Press, 2002, ISBN 0-674-00944-4