ENGLISH

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

By Kai , Eliashberg , Y.; Cieliebak

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
9780821885338, 0821885332
Language
english
Format
PDF
Filesize
2 MB (2107613 bytes)
Series
Colloquium publications (American Mathematical Society) 59
Edition
draft
Pages
364\372
Library
kolxoz
Time added
2018-06-05 18:02:38
contact geometry -- Global theory of symplectic anSymplectic geometry.;Stein manifolds.;Symplektisch

Description

Content: 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.

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