This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially self-contained and includes numerous exercises.
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Symplectic vector spaces Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complex structure tamed, faisceau des germes, holonrorphic curves, exact symplectic manifold, holornorphic curves, section holomorphe, symplectic vector bundle, geodesic disc, section nulle, vectoriel complexe, fibre sum, injectivity radius, forme fondamentale, suite exacte, courbure moyenne, symplectic reduction, symplectic vector space, symplectic area, holomorphic curves, monotonicity lemma, first variation formula, symplectic topology, symplectic form, est une surface, class rigidity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gromov's Schwarz, Graduate Texts, Pure Appl New!
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Symplectic vector spaces Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complex structure tamed, faisceau des germes, holonrorphic curves, exact symplectic manifold, holornorphic curves, section holomorphe, symplectic vector bundle, geodesic disc, section nulle, vectoriel complexe, fibre sum, injectivity radius, forme fondamentale, suite exacte, courbure moyenne, symplectic reduction, symplectic vector space, symplectic area, holomorphic curves, monotonicity lemma, first variation formula, symplectic topology, symplectic form, est une surface, class rigidity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gromov's Schwarz, Graduate Texts, Pure Appl New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 37
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32
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- Riemannian Geometry (De Gruyter Studies in Mathematics) by Wilhelm P. A. Klingenberg on page 111
- Complex Approximation (Progress in Mathematics) by B. Aupetit in Back Matter
- Geometric Inequalities (Grundlehren Der Mathematischen Wissenschaften) by Yu. D. Burago on page 111
- Algebraic Geometry by F. Oort in Back Matter
- Topics in Harmonic Analysis on Homogeneous Spaces (Progress in Mathematics) by Sigurdur Helgason in Back Matter
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- Locally Conformal Kahler Geometry (Progress in Mathematics) by Sorin Dragomir in Back Matter
- Moment Maps and Combinatorial Invariants of Hamiltonian Tn-Spaces (Progress in Mathematics) by Victor Guillemin in Back Matter
- The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein (Progress in Mathematics) by Jerrold E. Marsden on page 168
- Generalized Etale Cohomology Theories (Progress in Mathematics) by J.F. Jardine in Back Matter
- Singularities: The Brieskorn Anniversary Volume (Progress in Mathematics) by Vladimir I. Arnold in Back Matter
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