Three-page approach to knot theory. Encoding and local moves

DOI10.1007/BF02467109zbMath0947.57005WikidataQ29041909 ScholiaQ29041909MaRDI QIDQ1566479

Ivan A. Dynnikov

Publication date: 1 November 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

local moveopen-book decompositionarc-presentationcompletely balanced wordembeddings of knotsembeddings of linksthree-page link diagram

Mathematics Subject Classification ID

Related Items

Fixed-parameter tractability for book drawing with bounded number of crossings per edge ⋮ Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix ⋮ Computing a link diagram from its exterior ⋮ All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron ⋮ THREE-PAGE ENCODING AND COMPLEXITY THEORY FOR SPATIAL GRAPHS

Cites Work

• State models and the Jones polynomial
• A new way to represent links. One-dimensional formalism and untangling technology
• Three-page representation of links
• Arc index and the Kauffman polynomial
• An Invariant of Regular Isotopy
• Embedding knots and links in an open book II. Bounds on arc index