Embedded surfaces and almost complex structures
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/9812056,
title = {Embedded surfaces and almost complex structures},
author = {Christian Bohr},
journal= {arXiv preprint arXiv:math/9812056},
year = {2007}
}
Comments
8 pages, LaTeX. To appear in Proc. AMS