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cond-mat.soft2024
Dislocations and Fibrations: The Topological Structure of Knotted Smectic Defects
Paul G. Severino, Randall D. Kamien, Benjamin Bode
In this work, we investigate the topological properties of knotted defects in smectic liquid crystals. Our story begins with screw dislocations, whose radial surface structure can…
math.GT2024
Totally tangential -links and electromagnetic knots
Benjamin Bode
The set of real-analytic Legendrian links with respect to the standard contact structure on the 3-sphere corresponds both to the set of totally tangential -links…
math.GT2024
Complex optical vortex knots
Benjamin Bode
The curves of zero intensity of a complex optical field can form knots and links: optical vortex knots. Both theoretical constructions and experiments have so far been restricted t…