$J$-holomorphic Curves and Symplectic Topology: Second Edition, McDuff, Dietmar Salamon

Автор: Eguchi
Название: Symplectic, Poisson, and Noncommutative Geometry
ISBN: 1107056411 ISBN-13(EAN): 9781107056411
Издательство: Cambridge Academ
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Описание: This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

Автор: Leopoldo Nachbin
Название: Topology on Spaces of Holomorphic Mappings
ISBN: 3642885136 ISBN-13(EAN): 9783642885136
Издательство: Springer
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Цена: 46570.00 T
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Описание: The present report on spaces of holomorphic mappings was prepared for the Sexto Coloquio Brasileiro de Matematica (Po os de Caldas, Minas Gerais, Brazil, July 1967). I also had the oppor- tunity of giving a series of lectures on this material while I was a visiting member at the Center for Theoretical Studies of the University of Miami (Coral Gables, Florida, USA, February 1968). The preparation of this report was sponsored in part by the USA National Science Foundation through a grant to the University of Rochester. I am glad to thank Professors Paul R. Halmos and Peter J. Hilton for accepting my text as part of the series Ergebnisse der Mathematik und ihre Grenzgebiete. Rochester, New York 1968 Leopoldo Nachbin Contents 1. Introduction. 1 2. Notation and Terminology 4 3. Continuous Polynomials 6 4. Convergent Power Series 11 5. Holomorphic Mappings. 16 6. The Cauchy Integral 20 7. Convergence of Taylor Series. 26 8. Topology on the Space of all Holomorphic Mappings 31 9. Holomorphy Types. 34 10. Differentiation of Holomorphy Types . 38 II. Topology on Spaces of Holomorphic Mappings. 43 12. Bounded Subsets. 49 13. Relatively Compact Subsets . 54 14. The Current Holomorphy Type 59 15. Bibliographical References. 62 Subject Index 65 1.

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 110707245X ISBN-13(EAN): 9781107072459
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Published in two volumes, this is the first book to provide a 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.

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 1107109671 ISBN-13(EAN): 9781107109674
Издательство: Cambridge Academ
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Описание: Published in two volumes, this is the first book to provide a 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.

Автор: Clifford Henry Taubes
Название: Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds
ISBN: 1571460616 ISBN-13(EAN): 9781571460615
Издательство: Oxford Academ
Цена: 35850.00 T
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Описание: This work offers the proof of the remarkable relationship between Seiberg-Witten and Gromov invariants on symplectic 4-manifolds. It is a companion to "Topics on Symplectic 4-Manifolds" published in 1998 and brings together articles published in two American journals.

Автор: Luna-Elizarrarбs M. Elena
Название: Bicomplex Holomorphic Functions
ISBN: 3319248669 ISBN-13(EAN): 9783319248660
Издательство: Springer
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Описание:

Introduction.- 1.The Bicomplex Numbers.- 2.Algebraic Structures of the Set of Bicomplex Numbers.- 3.Geometry and Trigonometric Representations of Bicomplex.- 4.Lines and curves in BC.- 5.Limits and Continuity.- 6.Elementary Bicomplex Functions.- 7.Bicomplex Derivability and Differentiability.- 8.Some properties of bicomplex holomorphic functions.- 9.Second order complex and hyperbolic differential operators.- 10.Sequences and series of bicomplex functions.- 11.Integral formulas and theorems.- Bibliography.

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Автор: Bernhelm Booss-Bavnbek, Chaofeng Zhu
Название: The Maslov Index in Symplectic Banach Spaces
ISBN: 1470428008 ISBN-13(EAN): 9781470428006
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: The authors consider a curve of Fredholm pair of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, they obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions the authors define the Maslov index of the curve by symplectic reduction.

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794894 ISBN-13(EAN): 9780198794899
Издательство: Oxford Academ
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Цена: 110880.00 T
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Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Автор: Fr?d?ric Bourgeois; Vincent Colin; Andr?s Stipsicz
Название: Contact and Symplectic Topology
ISBN: 3319020358 ISBN-13(EAN): 9783319020358
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book explains the application of symplectic and contact geometry to various fields of physics. It presents a wide range of hot topics in an active field of mathematics and features tutorial-like lectures designed to be accessible to graduate students.

Автор: P. Libermann; Charles-Michel Marle
Название: Symplectic Geometry and Analytical Mechanics
ISBN: 9027724385 ISBN-13(EAN): 9789027724380
Издательство: Springer
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Описание: Further, the kind and level of sophistication of mathematics applied in various sci- ences has changed drastically in recent years: measure theory is used (non-trivially) in re- gional and theoretical economics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory;