Function theory on symplectic manifolds / Leonid Polterovich, Daniel Rosen.

Format:

Book

Author/Creator:

Polterovich, Leonid, 1963- author.

Rosen, Daniel, 1980- author.

Series:

CRM monograph series ; Volume 34.

CRM Monograph Series ; Volume 34

Language:

English

Subjects (All):

Symplectic manifolds.

Geometric function theory.

Quantum measure theory.

Physical Description:

1 online resource (205 pages) : illustrations.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2014.

Summary:

This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of unexpected symplectic phenomena. The present book focuses on function spaces associated with a symplectic manifold. A number of recent advances show that these spaces exhibit intriguing properties and structures, giving rise to an alternative intuition and new tools in symplectic topology. The book provides an essentially self-contained introduction into these developments along with applications to symplectic topology, algebra and geometry of symplectomorphism groups, Hamiltonian dynamics and quantum mechanics. It will appeal to researchers and students from the graduate level onwards.

Notes:

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

1-4704-1931-9