| Kommentar |
Voraussetzungen: Topologie, Funktionalanalysis, Analysis auf Mannigfaltigkeiten Inhalt: An introduction to pseudoholomorphic curves, covering the basic theory (nonlinear functional analytic setup, Fredholm theory and transversality, bubbling off, positivity of intersections) and a survey of applications in symplectic and contact topology (non-squeezing theorem, rational and ruled symplectic 4-manifolds, nonfillable contact manifolds, Weinstein conjecture). |
| Literatur |
Wendl, C.: Lectures on holomorphic curves in symplectic and contact geometry (verfügbar unter www.math.ethz.ch/~wendl/jholomorphic). McDuff, D.; Salamon, D.: T-holomorphic curves and symplectic topology. |
