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Minimizing Euler characteristics of symplectic four-manifolds
Author(s):
D.
Kotschick
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3081-3083.
MSC (2000):
Primary 57M07, 57R17, 57R57
Posted:
May 4, 2006
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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.
References:
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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:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
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