Embedded surfaces and almost complex structures
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- 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.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2147-2154
- MSC (1991): Primary 53C15, 57R95
- DOI: https://doi.org/10.1090/S0002-9939-99-05277-6
- MathSciNet review: 1657766