Topological vortices are stable, swirling structures that arise in various physical systems, such as fluids and superconductors. They are characterized by their unique topological properties, meaning they cannot be easily transformed into other shapes without changing their fundamental structure. This stability makes them important in understanding phenomena like superfluidity and magnetism. In condensed matter physics, topological vortices can influence the behavior of materials at the quantum level. For example, in superconductors, these vortices can trap magnetic flux, affecting the material's electrical properties. Their study helps scientists explore new states of matter and develop advanced technologies, such as quantum computing.