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

Format:

Book

Author/Creator:

Cieliebak, Kai, 1966- author.

Contributor:

Eliashberg, Y., 1946-

Series:

Colloquium Publications, 2473-3946 ; v. 59

Language:

English

Subjects (All):

Symplectic geometry.

Stein manifolds.

Physical Description:

1 online resource (xii, 364 pages : illustrations (some color))

Place of Publication:

Providence, R.I. : American Mathematical Society, c2012.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Introduction Chapter 2. $J$-convex functions and hypersurfaces Chapter 3. Smoothing Chapter 4. Shapes for $i$-convex hypersurfaces Chapter 5. Some complex analysis Chapter 6. Symplectic and contact preliminaries Chapter 7. The $h$-principles Chapter 8. The existence theorem Chapter 9. Recollections from Morse theory Chapter 10. Modifications of $J$-convex Morse functions Chapter 11. Weinstein structures Chapter 12. Modifications of Weinstein structures Chapter 13. Existence revisited Chapter 14. Deformations of flexible Weinstein structures Chapter 15. Deformations of Stein structures Chapter 16. Stein manifolds of complex dimension two Chapter 17. Exotic Stein structures Appendix A. Some algebraic topology Appendix B. Obstructions to formal Legendrian isotopies Appendix C. Biographical notes on the main characters

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Cieliebak, Kai, 1966- From Stein to Weinstein and back :

ISBN:

9781470415822 (online)

Access Restriction:

Restricted for use by site license.