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Symplectic Geometry: An Introduction Based on the Seminar in Bern, 1992: v. 124 (Progress in Mathematics) - Tapa dura
Reseña del editor
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. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspecialist a solid introduction to the recent developments in symplectic and contact geometry. Chapter 1 gives a review of the symplectic group Sp(n,R), sympkctic manifolds, and Hamiltonian systems (last but not least to fix the notations). The 1\Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start ing with a proof of the Darboux theorem saying that there are no local in variants in symplectic geometry. The most important examples of symplectic manifolds will be introduced: cotangent spaces and Kahler manifolds. Finally we discuss the theory of coadjoint orbits and the Kostant-Souriau theorem, which are concerned with the question of which homogeneous spaces carry a symplectic structure.
Reseña del editor
With the publication of Gromov's seminal paper in 1985 and with the development of Floer homology in the eighties, symplectic geometry has changed drastically. The complexity and diversity of the topics enriched this theory, but at the same time posed obstacles to easy comprehension. The present volume collects the basic building blocks of the theory and tries to present them in a readable form. The exposition is addressed towards advanced students, graduate students, mathematicians and physicists and all those who want to gain an insight into this fascinating and rapidly developing field. The present volume is intended as a first reading in symplectic geometry. Basic notions are explained and the principal examples are outlined. Capacities, generating functions, Floer homology, pseudoholomorphic curves and contact structures make up the core of the exposition. To a large extent the treatment is self-contained, and references to the current literature facilitate the access to the original papers.
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- EditorialBirkhauser Verlag AG
- Año de publicación1994
- ISBN 10 3764350644
- ISBN 13 9783764350642
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas256
EUR 49,49
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Symplectic Geometry: An Introduction Based on the Seminar in Bern, 1992
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Birkhauser Verlag AG, 1994
ISBN 10: 3764350644
ISBN 13: 9783764350642
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Hardcover. Condición: Très bon. Ancien livre de bibliothèque. Couverture différente. Edition 1994. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Different cover. Edition 1994. Ammareal gives back up to 15% of this item's net price to charity organizations. Nº de ref. del artículo: E-577-934
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Symplectic Geometry: An Introduction Based on the Seminar in Bern, 1992
Publicado por
Birkhauser Verlag Ag, 1994
ISBN 10: 3764350644
ISBN 13: 9783764350642
Antiguo o usado
Tapa dura
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:3764350644. Nº de ref. del artículo: 4136493
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