Holomorphic Curves in Symplectic Geometry

Corporate Author: SpringerLink (Online service)
Other Authors: Audin, Michele (Editor), Lafontaine, Jacques (Editor)
Format: eBook
Language:English
Published: Basel Birkhäuser Basel 1994, 1994
Edition:1st ed. 1994
Series:Progress in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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