Topological Fluid Dynamics and Knotted Fields

Topological fluid mechanics provides an ideal setting where concepts and techniques of topology find use and application in the study of the continuous deformation of fluid flows and dynamical systems. It is in this context that knotted physical fields given by vortex flows, magnetic braids, plasma threads and defects turn the mathematics of topology into a vibrant dynamical science, where the transport and exchange of physical properties is subject to the conservation and change of topology.