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

Bibliographic Details
Main Author: Cieliebak, Kai, 1966-
Other Authors: Eliashberg, Y., 1946-
Format: Book
Language:English
Published: Providence, R.I. : American Mathematical Society, [2012]
Series:Colloquium publications (American Mathematical Society) ; v. 59.
Subjects:

MARC

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100 1 |a Cieliebak, Kai,  |d 1966- 
245 1 0 |a From Stein to Weinstein and back :  |b symplectic geometry of affine complex manifolds /  |c Kai Cieliebak, Yakov Eliashberg. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c [2012] 
264 4 |c ©2012 
300 |a xii, 364 pages :  |b illustrations (some color) ;  |c 26 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Colloquium publications ;  |v v. 59 
504 |a Includes bibliographical references and index. 
505 0 |a 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. 
650 0 |a Symplectic geometry. 
650 0 |a Stein manifolds. 
650 7 |a Several complex variables and analytic spaces -- Complex manifolds -- Stein manifolds.  |2 msc 
650 7 |a Differential geometry -- Symplectic geometry, contact geometry -- Global theory of symplectic and contact manifolds.  |2 msc 
700 1 |a Eliashberg, Y.,  |d 1946- 
830 0 |a Colloquium publications (American Mathematical Society) ;  |v v. 59. 
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