Helicity, Energy and Reidemeister Twist Move
(2 lectures; 2025) Lecture 1: Helicity Conservation and its Topological Interpretation Lecture 2: Twist-Fold Processes and Energy Relaxation in Natur… Continue reading
Magnetic Helicity, Ampère’s Theorem and Emergence of Linking
(2 lectures; 2025) Lecture 1: Magnetic Helicity in Ideal MHD: Definition and Conservation Lecture 2: Ampère’s theorem, Solid Angle and Emergence of Linking… Continue reading
Riemann, Topology and Physics
(2 lectures; 2024) Lecture 1: Riemann’s Cuts and Green’s First Identity Lecture 2: Green’s First Identity, AB Effect and Helicity in Multiconnected Domains… Continue reading
Gallery of Fluid Motion
Gallery of Fluid Motion • Topological collapse of a Möbius soap film Topological transition of a Möbius soap film that develops rapidly a twist fold singularity as changes from a one-sided film surface to a two-sided film surface. • Topological dynamics of quantum vortex knots and links Direct numerical simulation of the interaction and reconnection … Continue reading
Topological collapse of a Möbius soap film
Topological transition of a Möbius soap film developing a twist fold singularity Twist fold singularity from a Möbius soap film collaps… Continue reading