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Holomorphic Curves in Symplectic Geometry
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Holomorphic Curves in Symplectic Geometry ([EBook]) / edited by Michèle Audin, Jacques Lafontaine.
Added Personal Name
Audin, Michèle
Lafontaine, Jacques
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser , 1994.
Physical Details
XI, 331 pages : online resource.
Series
Progress in mathematics
0743-1643 ; ; 117
ISBN
9783034885089
Contents note
Introduction: Applications of pseudo-holomorphic curves to symplectic topology -- 1 Examples of problems and results in symplectic topology -- 2 Pseudo-holomorphic curves in almost complex manifolds -- 3 Proofs of the symplectic rigidity results -- 4 What is in the book… and what is not -- 1: Basic symplectic geometry -- I An introduction to symplectic geometry -- II Symplectic and almost complex manifolds -- 2: Riemannian geometry and linear connections -- III Some relevant Riemannian geometry -- IV Connexions linéaires, classes de Chern, théorème de Riemann-Roch -- 3: Pseudo-holomorphic curves and applications -- V Some properties of holomorphic curves in almost complex manifolds -- VI Singularities and positivity of intersections of J-holomorphic curves -- VII Gromov’s Schwarz lemma as an estimate of the gradient for holomorphic curves -- VIII Compactness -- IX Exemples de courbes pseudo-holomorphes en géométrie riemannienne -- X Symplectic rigidity: Lagrangian submanifolds -- Authors’ addresses.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-0348-8508-9
Links to Related Works
Subject References:
Differential Geometry
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Geometry, Riemannian
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Holomorphic functions
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Symplectic manifolds
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Topological groups
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Topological groups, Lie groups
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Authors:
Audin, Michèle
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editor
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Lafontaine, Jacques
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Corporate Authors:
SpringerLink (Online service)
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Series:
Progress in mathematics
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Classification:
516.36
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