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From Stein to Weinstein and back : symplectic geometry of affine complex manifolds / Kai Cieliebak, Yakov Eliashberg.
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QA1 .A5225 V.59
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Author/Creator:
Cieliebak, Kai, 1966
Language:
English.
Publication date:
2012
Imprint:
Providence, R.I. : American Mathematical Society, c2012.
Format:
Book
xii, 364 p. : ill. (some col.) ; 26 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
pt. 1. Jconvexity. Jconvex functions and hypersurfaces
Smoothing
Shapes for Iconvex hypersurfaces
Some complex analysis
pt. 2. Existence of Stein structures. Symplectic and contact preliminaries
The hprinciples
The existence theorem
pt. 3. MorseSmale theory for Jconvex functions. Recollections from Morse theory
Modifications of Jconvex 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.
Contributor:
Eliashberg, Y., 1946
Series:
Colloquium publications ; v. 59
Colloquium publications (American Mathematical Society) ;
v. 59.
Subjects:
Symplectic geometry.
Stein manifolds.
Several complex variables and analytic spaces  Complex manifolds  Stein manifolds.
Differential geometry  Symplectic geometry, contact geometry  Global theory of symplectic and contact manifolds.
ISBN:
9780821885338
0821885332
Catkey: 9941559
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