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From Stein to Weinstein and back : symplectic geometry of affine complex manifolds

Autore: Kai Cieliebak; Y Eliashberg
Editore: Providence, R.I. : American Mathematical Society, ©2012.
Serie: Colloquium publications (American Mathematical Society), v. 59.
Edizione/Formato:   Libro a stampa : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
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Tipo documento {1} {2}
Tutti gli autori / Collaboratori: Kai Cieliebak; Y Eliashberg
{0} 9780821885338 0821885332
Numero OCLC: 795645067
Descrizione: xii, 364 pages : illustrations (some color) ; 26 cm.
Contenuti: pt. 1. J-convexity. J-convex functions and hypersurfaces --
Smoothing --
Shapes for I-convex hypersurfaces --
Some complex analysis --
pt. 2. Existence of Stein structures. Symplectic and contact preliminaries --
The h-principles --
The existence theorem --
pt. 3. Morse-Smale theory for J-convex functions. Recollections from Morse theory --
Modifications of J-convex Morse functions --
pt. 4. From Stein to Weinstein and back. Weinstein structures --
Modifications of Weinstein structures --
Existence revisited --
Deformations of flexible Weinstein structures --
Deformations of Stein structures --
pt. 5. Stein manifolds and symplectic topology. Stein manifolds of complex dimension two --
Exotic Stein structures --
Appendix A: Some algebraic topology --
Appendix B: Obstructions to formal Legendrian isotopies --
Appendix C: Biographical notes on the main characters.
Titolo della serie: Colloquium publications (American Mathematical Society), v. 59.
Responsabilità: Kai Cieliebak, Yakov Eliashberg.

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oThis book is a remarkable mix of classical topics and research done by the authors over the last twenty years. It is both a textbook and a research monograph. a [M]ore classical materialais Per saperne di più…

 
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