Embedding problems in symplectic geometry
This book based on the Ph.D. thesis of the author may serve as a very good introduction to symplectic rigidity and symplectic embeddings. As it is stressed in the Preface ``the aim of this book is to describe several elementary and explicit symplectic embedding constructions, such as symplectic folding', symplectic wrapping and symplectic lifting, and this aim was achieved by expositions of these constructions in detail and by demonstrations of their applications to solving some specific problems of symplectic geometry. In particular, the author exposes the proof of his results on symplectic embeddings of ellipsoids into balls (therewith theorem 1 provides obstructions and, in its turn theorem 2 provides embeddings) [see also \textit{F. Schlenk}, Isr. J. Math. 138, 215--252 (2003; Zbl 1056.53057)]. Contents: 1. Introduction. 2. Proof of theorem 1. 3. Proof of theorem 2. 4. Multiple symplectic folding in four dimensions. 5. Symplectic folding in higher dimensions. 6. Proof of theorem 3. 7. Symplectic wrapping. 8. Proof of theorem 4. 9. Packing symplectic manifolds by hands. Appendix.
scientific article; zbMATH DE number 2167031