Space of chord diagrams on spherical curves

DOI10.1142/S0129167X19500605zbMath1440.57005arXiv2012.10242MaRDI QIDQ5203902

Noboru Ito

Publication date: 9 December 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10242

zbMATH Keywords

plane curvechord diagramReidemeister movespherical curve

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Immersions in differential topology (57R42) Knot theory (57K10)

Related Items (6)

Goussarov–Polyak–Viro conjecture for degree three case ⋮ VARIATIONS OF MILNOR’S TRIPLE LINKING NUMBER ⋮ Gauss diagram formulas of Vassiliev invariants of 2-bouquet graphs ⋮ Crosscap number of knots and volume bounds ⋮ Arrow diagrams on spherical curves and computations ⋮ Any nontrivial knot projection with no triple chords has a monogon or a bigon

Cites Work

• Strong and weak \((1,3)\) homotopies on knot projections
• Finite-type invariants of classical and virtual knots
• Sub-chord diagrams of knot projections
• On the self-linking of knots
• A diagrammatic approach to link invariants of finite degree
• On the necessity of Reidemeister move 2 for simplifying immersed planar curves
• (1, 2) AND WEAK (1, 3) HOMOTOPIES ON KNOT PROJECTIONS
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