Embedded surfaces
and almost complex structures
Author:
Christian Bohr
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
Published electronically:
October 29, 1999
MathSciNet review:
1657766
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, we prove necessary and sufficient conditions for a smooth surface in a smooth 4-manifold 
to be pseudoholomorphic with respect to an almost complex structure on 
. 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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- [Mi] G. Mikhalkin, J-holomorphic curves do not always minimize the genus, Proc. Amer. Math. Soc, 125 (1997), 1831-1833. MR 97g:57047
- [W1] C.T.C. Wall, On the orthogonal groups of unimodular quadratic forms, Math. Ann. 147 (1962), 328-338. MR 25:2009
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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:
https://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
