Immersions of surfaces in almost–complex 4–manifolds
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Abstract:
In this paper, we investigate the relation between double points and complex points of immersed surfaces in almost–complex 4–manifolds and show how estimates for the minimal genus of embedded surfaces lead to inequalities between the number of double points and the number of complex points of an immersion.References
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Additional Information
- Christian Bohr
- Affiliation: Department of Mathematics, Yale University, P.O. Box 208283, New Haven, Connecticut 06520–8283
- Address at time of publication: Mathematisches Institut, Theresienstrasse 39, 80333 Muenchen, Germany
- Email: bohr@math.yale.edu, bohr@rz.mathematik.uni-muenchen.de
- Received by editor(s): September 8, 2000
- Received by editor(s) in revised form: November 1, 2000
- Published electronically: October 5, 2001
- Additional Notes: The author was supported by the Graduiertenkolleg “Mathematik im Bereich ihrer Wechselwirkung mit der Physik” at the University of Munich
- Communicated by: Ronald A. Fintushel
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1523-1532
- MSC (1991): Primary 57M99, 53C15
- DOI: https://doi.org/10.1090/S0002-9939-01-06185-8
- MathSciNet review: 1879979