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Minimizing Euler characteristics of symplectic four-manifolds
Author:
D. Kotschick
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3081-3083
MSC (2000):
Primary 57M07, 57R17, 57R57
Posted:
May 4, 2006
MathSciNet review:
2231635
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Abstract: We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almost complex closed four-manifolds with the same fundamental group. In fact, the difference between the two is arbitrarily large for certain groups.
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Additional Information
D. Kotschick
Affiliation:
Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstrasse 39, 80333 München, Germany
Email:
dieter@member.ams.org
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08352-3
PII:
S 0002-9939(06)08352-3
Received by editor(s):
May 3, 2005
Posted:
May 4, 2006
Additional Notes:
The author is grateful to P. Kirk for pointing out the question that is answered here.
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2006 American Mathematical Society
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