Immersions of surfaces in almost-complex 4-manifolds

Author:
Christian Bohr

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1523-1532

MSC (1991):
Primary 57M99, 53C15

Published electronically:
October 5, 2001

MathSciNet review:
1879979

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Abstract | References | Similar Articles | Additional Information

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.

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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

DOI:
http://dx.doi.org/10.1090/S0002-9939-01-06185-8

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

Article copyright:
© Copyright 2001
American Mathematical Society