Virtual Fundamental Cycles in Symplectic Topology, Dusa McDuff, Mohammad Tehrani, Kenji Fukaya, Dominic Joyce

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: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Цена: 66530.00 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: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794894 ISBN-13(EAN): 9780198794899
Издательство: Oxford Academ
Рейтинг:
Цена: 110880.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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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Цена: 155230.00 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 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory.

Автор: Eguchi
Название: Symplectic, Poisson, and Noncommutative Geometry
ISBN: 1107056411 ISBN-13(EAN): 9781107056411
Издательство: Cambridge Academ
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Цена: 121440.00 T
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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: McDuff, Dietmar Salamon
Название: $J$-holomorphic Curves and Symplectic Topology: Second Edition
ISBN: 0821887467 ISBN-13(EAN): 9780821887462
Издательство: Mare Nostrum (Eurospan)
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Цена: 109030.00 T
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Описание: The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer homology. In mathematical physics, it provides a natural context in which to define Gromov-Witten invariants and quantum cohomology, two important ingredients of the mirror symmetry conjecture.<br><br> The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology: there are two long chapters on applications, one concentrating on classical results in symplectic topology and the other concerned with quantum cohomology. The last chapter sketches some recent developments in Floer theory. The five appendices of the book provide necessary background related to the classical theory of linear elliptic operators, Fredholm theory, Sobolev spaces, as well as a discussion of the moduli space of genus zero stable curves and a proof of the positivity of intersections of $J$-holomorphic curves in four-dimensional manifolds. The second edition clarifies various arguments, corrects several mistakes in the first edition, includes some additional results in Chapter 10 and Appendices C and D, and updates the references to recent developments.

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: 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: Franco Cardin
Название: Elementary Symplectic Topology and Mechanics
ISBN: 331911025X ISBN-13(EAN): 9783319110257
Издательство: Springer
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Цена: 37260.00 T
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Описание: This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.

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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Цена: 153690.00 T
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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.