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From Stein to Weinstein and back : symplectic geometry of affine complex manifolds / Kai Cieliebak, Yakov Eliashberg.

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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. 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.
Contributor:
Eliashberg, Y., 1946-
Series:
Colloquium publications ; v. 59
Colloquium publications (American Mathematical Society) ; v. 59.
Subjects:
ISBN:
9780821885338
0821885332

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