From Stein to Weinstein and back : symplectic geometry of affine complex manifolds / Kai Cieliebak, Yakov Eliashberg.
| Author/creator | Cieliebak, Kai, 1966- |
| Other author | Eliashberg, Y., 1946- |
| Format | Book |
| Publication Info | Providence, R.I. : American Mathematical Society, ©2012. |
| Description | xii, 364 pages : illustrations (some color) ; 26 cm. |
| Subjects |
| Series | Colloquium publications ; v. 59 Colloquium publications (American Mathematical Society) v. 59. ^A77623 |
| 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. |
| Bibliography note | Includes bibliographical references and index. |
| LCCN | 2012019063 |
| ISBN | 9780821885338 (alk. paper) |
| ISBN | 0821885332 (alk. paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA665 .C54 2012 | ✔ Available | Place Hold |