On the derivation of the HOMFLYPT polynomial invariant for fluid knots
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Publication:3459334
DOI10.1017/jfm.2015.231zbMath1331.76009OpenAlexW2191234066MaRDI QIDQ3459334
Publication date: 22 December 2015
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10281/90082
Related Items (6)
Creation of quantum knots and links driven by minimal surfaces ⋮ Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces ⋮ Helicity spectra and topological dynamics of vortex links at high Reynolds numbers ⋮ Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization ⋮ Topological invariants for superconducting cosmic strings ⋮ Magnetic knot cascade via the stepwise reconnection of helical flux tubes
Cites Work
- Knots and links in steady solutions of the Euler equation
- Laboratory experiments for intense vortical structures in turbulence velocity fields
- A new polynomial invariant of knots and links
- The New Polynomial Invariants of Knots and Links
- Helicity and the Călugăreanu invariant
- Geometry and clustering of intense structures in isotropic turbulence
- The spectrum of filament entanglement complexity and an entanglement phase transition
- Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics
- The degree of knottedness of tangled vortex lines
- How tangled is a tangle?
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