Symplectic Geometry, Groupoids, and Integrable Systems, Pierre Dazord; Alan Weinstein

Автор: Michele Audin; Jacques Lafontaine
Название: Holomorphic Curves in Symplectic Geometry
ISBN: 3034896565 ISBN-13(EAN): 9783034896566
Издательство: Springer
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Автор: Bolsinov
Название: Geometry and Dynamics of Integrable Systems
ISBN: 3319335022 ISBN-13(EAN): 9783319335025
Издательство: Springer
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Описание: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matem?tica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

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: Leonid Polterovich
Название: The Geometry of the Group of Symplectic Diffeomorphism
ISBN: 3764364327 ISBN-13(EAN): 9783764364328
Издательство: Springer
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Цена: 9083.00 р.
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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: 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: 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.