From Stein to Weinstein and Back

Author: Kai Cieliebak
Publisher: American Mathematical Soc.
ISBN: 9780821885338
Release Date: 2012
Genre: Mathematics

A beautiful and comprehensive introduction to this important field. --Dusa McDuff, Barnard College, Columbia University This excellent book gives a detailed, clear, and wonderfully written treatment of the interplay between the world of Stein manifolds and the more topological and flexible world of Weinstein manifolds. Devoted to this subject with a long history, the book serves as a super introduction to this area and also contains the authors' new results. --Tomasz Mrowka, MIT This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from ``Stein to Weinstein'') and its applications in the complex geometric world of Stein manifolds (the road ``back''). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology. Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, $h$-principles, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects.|This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from ""Stein to Weinstein"") and its applications in the complex geometric world of Stein manifolds (the road ""back""). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology.

Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, $h$-principles, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects.

Discipline Punish

Author: Michel Foucault
Publisher: Vintage
ISBN: 9780307819291
Release Date: 2012-04-18
Genre: Social Science

In this brilliant work, the most influential philosopher since Sartre suggests that such vaunted reforms as the abolition of torture and the emergence of the modern penitentiary have merely shifted the focus of punishment from the prisoner's body to his soul.

Princess of Convenience

Author: Marion Lennox
Publisher: Harlequin / SB Creative
ISBN: 9784596830494
Release Date: 2012-10-26
Genre: Comics & Graphic Novels

In order to buy the highest quality yarn, fashion designer Jessica travels to the Principality of Alp'Azuri in Europe. While admiring the picture-perfect beautiful landscapes on a drive through the country, an out-of-control car smashes into Jessica's car at full speed and knocks her out! When she regains consciousness, she finds herself at the royal palace. Alp'Azuri's Prince Raoul's fiancée died in that crash. Jessica blames herself for her death, but Raoul firmly asserts that it is not her fault...

Molecular Revolution

Author: Felix Guattari
Publisher: Bloomsbury Academic
ISBN: 1472596676
Release Date: 2018-04-19
Genre: Philosophy

Molecular Revolution comprises a series of articles from radical French philosopher and psychoanalyst, Felix Guattari, originally published in two separate French editions, of 1977 and 1980 - each bearing the name Molecular Revolution. Despite this titular similarity, these texts differed wildly in form and content so as to become hardly recognizable. This translated single volume makes available in English for the first time an ensemble of pieces featuring an introduction by the editor, Stéphane Nadaud, and an afterword by Janell Watson. By re-arranging and re-deploying these articles, Molecular Revolution stays true to the content of Guattari's work as both a unique version and the embodiment of the essential plurality of molecular revolutions. For Guattari, rather than a theory, molecular revolutions form a practical way of doing politics, and this volume will be essential to the full comprehension of the political force of Guattari's life and work.