Complex Curves in Almost-Complex Manifolds and Meromorphic Hulls

Abstract

This are the notes of a course, given by the first author for the Graduiertenkollegs (=graduate students) at the Ruhr-University Bochum, in December 1997. These lectures pursued two main tasks: FIRST - to give a systematic and self-contained introduction to the Gromov theory of pseudoholomorphic curves. This is done in Chapters I,II,III. SECOND - to explain our join results on envelopes of meromorphy of real surfaces in complex two-dimensional manifolds. We do this in Chapter IV.

186 pages, 16 figures

References in corpus (2)

• Pseudo-holomorphic curves and envelopes of meromorphy of two-spheres in $C{P}^2$
• Deformations of Noncompact Complex Curves and Meromorphic Envelopes of Spheres

Cited by in corpus (7)

• The Symplectic Sum Formula for Gromov-Witten Invariants
• A natural Gromov-Witten virtual fundamental class
• Estimates of the Kobayashi metric on almost complex manifolds
• Relative Gromov-Witten Invariants
• Symplectic homology of convex domains and Clarke's duality
• Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves
• The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups