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

Yong-Geun Oh

ISBN 10: 1107535689 / ISBN 13: 9781107535688
Published by Cambridge University Press, 2015
New Condition: New Hardcover
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Bibliographic Details

Title: Symplectic Topology and Floer Homology 2 ...

Publisher: Cambridge University Press

Publication Date: 2015

Binding: Hardcover

Book Condition: New

Edition: 1.

About this title

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.

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.

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