Lectures on Twisted Rabinowitz-Floer Homology

This book provides a concise and effective introduction to twisted Rabinowitz-Floer homology, a generalization of Rabinowitz-Floer homology. The theory can be used for finding periodic orbits in Hamiltonian systems: applications include results in celestial mechanics and space mission design. Written in a style that encourages active reflection and trains problem-solving abilities, the book offers a pathway for aspiring researchers from classical mechanics formulated in the language of symplectic geometry to current research in Rabinowitz-Floer homology and neighboring areas. The book features plenty of examples and exercises, including solutions to most of them, as well as open questions and further directions for research.