Symplectic Topology and Floer Homology 2 Volume Hardback Set (New Mathematical Monographs) - Hardcover

Oh, Yong-Geun

Hardcover

ISBN 10: 1107535689 ISBN 13: 9781107535688

Publisher: Cambridge University Press, 2015

Synopsis

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 pseudo-holomorphic 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, including many examples of their applications to various problems in symplectic topology. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

About this title

Book Description:

This is the first systematic exposition of basic Floer homology theory and its applications to symplectic topology as a whole. In two volumes, it provides a comprehensive resource suitable for experts and newcomers alike.

About the Author:

Yong-Geun Oh is Director of the IBS Center for Geometry and Physics and is Professor in the Department of Mathematics at POSTECH (Pohang University of Science and Technology) in Korea. He was also Professor in the Department of Mathematics at the University of Wisconsin, Madison. He is a member of the KMS, the AMS, the Korean National Academy of Sciences, and the inaugural class of AMS Fellows. In 2012 he received the Kyung-Ahm Prize for Science in Korea.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2015
• ISBN 10: 1107535689
• ISBN 13: 9781107535688
• Binding: Hardcover
• Number of pages: 892