Embedded surfaces and almost complex structures

Bohr, Christian

doi:10.1090/S0002-9939-99-05277-6

Embedded surfaces and almost complex structures
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by Christian Bohr PDF

Proc. Amer. Math. Soc. 128 (2000), 2147-2154 Request permission

Abstract:

In this paper, we prove necessary and sufficient conditions for a smooth surface in a smooth 4-manifold $X$ to be pseudoholomorphic with respect to an almost complex structure on $X$. In particular, 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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