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Record Nr. |
UNINA9910784289603321 |
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Autore |
Schlenk Felix <1970-> |
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Titolo |
Embedding problems in symplectic geometry [[electronic resource] /] / by Felix Schlenk |
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Pubbl/distr/stampa |
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Berlin ; ; New York, : Walter de Gruyter, c2005 |
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ISBN |
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1-282-19481-X |
9786612194818 |
3-11-915917-4 |
3-11-019969-6 |
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Descrizione fisica |
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1 online resource (260 p.) |
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Collana |
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De Gruyter expositions in mathematics ; ; 40 |
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Disciplina |
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Soggetti |
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Symplectic geometry |
Embeddings (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 241-246) and index. |
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Nota di contenuto |
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Front matter -- Contents -- Introduction -- Proof of Theorem 1 -- Proof of Theorem 2 -- Multiple symplectic folding in four dimensions -- Symplectic folding in higher dimensions -- Proof of Theorem 3 -- Symplectic wrapping -- Proof of Theorem 4 -- Packing symplectic manifolds by hand -- Appendix -- Backmatter |
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Sommario/riassunto |
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Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous ""non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding. |
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