Embedded surfaces and almost complex structures

Details Embedded surfaces and almost complex structures Embedded surfaces and almost complex structures

1998-12-09

arxiv.org/abs/math/9812056v1

Mathematics

Differential Geometry

8 pages, LaTeX. To appear in Proc. AMS

Scientific paper

We prove necessary and sufficient conditions for a smooth surface in a
4-manifold X to be pseudoholomorphic with respect to some almost complex
structure on X. This provides a systematic approach to the construction of
pseudoholomorphic curves that do not minimize the genus in their homology
class.

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