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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Embedded surfaces
and almost complex structures


Author: Christian Bohr
Journal: Proc. Amer. Math. Soc. 128 (2000), 2147-2154
MSC (1991): Primary 53C15, 57R95
Published electronically: October 29, 1999
MathSciNet review: 1657766
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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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Additional Information

Christian Bohr
Affiliation: Mathematisches Institut der LMU, Theresienstr. 39, 80333 München, Germany
Email: bohr@rz.mathematik.uni-muenchen.de

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05277-6
Received by editor(s): August 17, 1998
Published electronically: October 29, 1999
Additional Notes: This work has been supported by the Graduiertenkolleg “Mathematik im Bereich ihrer Wechselwirkung mit der Physik”
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2000 American Mathematical Society