Space of chord diagrams on spherical curves
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Publication:5203902
DOI10.1142/S0129167X19500605zbMath1440.57005arXiv2012.10242MaRDI QIDQ5203902
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
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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