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 InfoProvidence, R.I. : American Mathematical Society, ©2012.
Descriptionxii, 364 pages : illustrations (some color) ; 26 cm.
Subjects

SeriesColloquium 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 noteIncludes bibliographical references and index.
LCCN 2012019063
ISBN9780821885338 (alk. paper)
ISBN0821885332 (alk. paper)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA665 .C54 2012 ✔ Available Place Hold