Holomorphic Curves in Symplectic Geometry, Michele Audin; Jacques Lafontaine

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: Christoph Hummel
Название: Gromov`s Compactness Theorem for Pseudo-holomorphic Curves
ISBN: 3034898428 ISBN-13(EAN): 9783034898423
Издательство: Springer
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Описание: This book presents the original proof of Gromov`s compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint.

Автор: Vasile Brinzanescu
Название: Holomorphic Vector Bundles over Compact Complex Surfaces
ISBN: 3540610189 ISBN-13(EAN): 9783540610182
Издательство: Springer
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Описание: This text discusses the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. It also considers irreducible vector bundles and stability with respect to a Gauduchon metric.

Автор: Gert Sabidussi; Jacques Hurtubise; Fran?ois Lalond
Название: Gauge Theory and Symplectic Geometry
ISBN: 0792345002 ISBN-13(EAN): 9780792345008
Издательство: Springer
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Описание: Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. This book includes some of the first expository material of Seiberg-Witten theory, which has revolutionized the subjects since its introduction in late 1994.

Автор: Leonid Polterovich
Название: The Geometry of the Group of Symplectic Diffeomorphism
ISBN: 3764364327 ISBN-13(EAN): 9783764364328
Издательство: Springer
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Описание: The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani fold (M, 0) plays a fundamental role both in geometry and classical mechanics. They turn out to be very different from the usual circle of problems considered in symplectic topology and thus extend significantly our vision of the symplectic world.

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;

Автор: B. Aebischer; M. Borer; M. K?lin; C. Leuenberger;
Название: Symplectic Geometry
ISBN: 3034875142 ISBN-13(EAN): 9783034875141
Издательство: Springer
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Описание: The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis.

Автор: Izu Vaisman
Название: Symplectic Geometry and Secondary Characteristic Classes
ISBN: 1475719620 ISBN-13(EAN): 9781475719628
Издательство: Springer
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Описание: Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre- viously.

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: Daniele Angella; Costantino Medori; Adriano Tomass
Название: Complex and Symplectic Geometry
ISBN: 3319629131 ISBN-13(EAN): 9783319629131
Издательство: Springer
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Описание: This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds;

Автор: Pierre Dazord; Alan Weinstein
Название: Symplectic Geometry, Groupoids, and Integrable Systems
ISBN: 1461397219 ISBN-13(EAN): 9781461397212
Издательство: Springer
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