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

Author: Kai Cieliebak; Y Eliashberg
Publisher: Providence, R.I. : American Mathematical Society, ©2012.
Series: Colloquium publications (American Mathematical Society), v. 59.
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Kai Cieliebak; Y Eliashberg
ISBN: 9780821885338 0821885332
OCLC Number: 795645067
Description: xii, 364 pages : illustrations (some color) ; 26 cm.
Contents: 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.
Series Title: Colloquium publications (American Mathematical Society), v. 59.
Responsibility: 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 Read more...

 
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