Abstract
Motivation and Background From Ideal Magnetohydrodynamics to String and Knot Theory All About and Around Woltjer's Theorem Topologically Massive Gauge Theories and Force-Free Fields Contact Geometry and Physics (Fundamentals) Sub-Riemannian Geometry, Heisenberg Manifolds and Quantum Mechanics of Landau Levels Abrikosov Lattices, TGB Phases in Liquid Crystals and Heisenberg Group Sub-Riemannian Geometry, Spin Dynamics and Quantum Classical Optimal Control Legendrian and Transverse Knots and Links and Their Physical Uses Appendices: A) Heisenberg Group and Its Relatives in the Context of Sub-Riemannian Geometry and Optimal Control B) Sub-Riemannian Dynamics of Josephson Junctions C) Quantum Computers and Quantum Random Walks (Almost a Glossary).
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