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Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications: New Mathematical Monographs, cartea 29

Autor Yong-Geun Oh
en Limba Engleză Hardback – 26 aug 2015
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 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. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.
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Specificații

ISBN-13: 9781107109674
ISBN-10: 1107109671
Pagini: 472
Ilustrații: 10 b/w illus. 50 exercises
Dimensiuni: 152 x 230 x 15 mm
Greutate: 0.86 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs

Locul publicării:New York, United States

Cuprins

Preface; Part III. Lagrangian Intersection Floer Homology: 12. Floer homology on cotangent bundles; 13. Off-shell framework of Floer complex with bubbles; 14. On-shell analysis of Floer moduli spaces; 15. Off-shell analysis of the Floer moduli space; 16. Floer homology of monotone Lagrangian submanifolds; 17. Applications to symplectic topology; Part IV. Hamiltonian Fixed Point Floer Homology: 18. Action functional and Conley–Zehnder index; 19. Hamiltonian Floer homology; 20. Pants product and quantum cohomology; 21. Spectral invariants: construction; 22. Spectral invariants: applications; Appendix A. The Weitzenböck formula for vector valued forms; Appendix B. Three-interval method of exponential estimates; Appendix C. Maslov index, Conley–Zehnder index and index formula; References; Index.

Recenzii

'This volume completes a comprehensive introduction to symplectic topology and Floer theory.' Hansjorg Geiges, Mathematical Reviews

Notă biografică


Descriere

The second part of a two-volume set offering a systematic explanation of symplectic topology. This volume provides a comprehensive introduction to Hamiltonian and Lagrangian Floer theory.