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[Download] "Symplectic Topology and Floer Homology" by Yong-Geun Oh # Book PDF Kindle ePub Free

Symplectic Topology and Floer Homology

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eBook details

  • Title: Symplectic Topology and Floer Homology
  • Author : Yong-Geun Oh
  • Release Date : January 05, 2015
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 13892 KB

Description

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 a complete proof of the boundary regularity theorem of weak solutions of pseudoholomorphic 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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