Gauge Theory and Symplectic Geometry, Gert Sabidussi; Jacques Hurtubise; Fran?ois Lalond

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: Pierre Dazord; Alan Weinstein
Название: Symplectic Geometry, Groupoids, and Integrable Systems
ISBN: 1461397219 ISBN-13(EAN): 9781461397212
Издательство: Springer
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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: 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: Yiming Long
Название: Index Theory for Symplectic Paths with Applications
ISBN: 303489466X ISBN-13(EAN): 9783034894661
Издательство: Springer
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Описание: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems.

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794894 ISBN-13(EAN): 9780198794899
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: 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: 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: Michele Audin; Jacques Lafontaine
Название: Holomorphic Curves in Symplectic Geometry
ISBN: 3034896565 ISBN-13(EAN): 9783034896566
Издательство: Springer
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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;