Symplectic Topology and Floer Homology 2 Volume Hardback Set, Mixed media product Book

Symplectic Topology and Floer Homology 2 Volume Hardback Set Mixed media product

Part of the New Mathematical Monographs series

Mixed media product

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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.

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