Lectures on Twisted Rabinowitz-Floer Homology

Lectures on Twisted Rabinowitz-Floer Homology | 32.33 MB

Title: Lectures on Twisted Rabinowitz-Floer Homology
Author: Yannis Bähni
Category: Nonfiction, Science & Nature, Mathematics, Topology, Science, Other Sciences, System Theory, Mathematical Analysis
Language: English | 317 Pages | ISBN: 9783032106735

Description:
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.

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