Symplectic topology and Floer homology. Volume 1. Symplectic geometry and pseudoholomorphic curves / Yong-Geun Oh (IBS Center for Geometry and Physics, Pohang University of Science and Technology, Republic of Korea).

Format:

Book

Author/Creator:

Oh, Yong-Geun, 1961- author.

Series:

Cambridge books online.

New mathematical monographs ; 28.

New mathematical monographs ; 28

Language:

English

Subjects (All):

Symplectic and contact topology.

Floer homology.

Symplectic geometry.

Physical Description:

1 online resource (xxiii, 395 pages) : digital, PDF file(s).

Other Title:

Symplectic Topology & Floer Homology

Place of Publication:

Cambridge : Cambridge University Press, 2015.

System Details:

text file

PDF

Summary:

Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Other Format:

Print version:

ISBN:

9781139680462

Access Restriction:

Restricted for use by site license.