Minimizing Euler characteristics of symplectic four-manifolds

Details Minimizing Euler characteristics of symplectic four-manifolds Minimizing Euler characteristics of symplectic four-manifolds

2005-04-28

arxiv.org/abs/math/0504578v2

Proc. Amer. Math. Soc. 134 (2006), 3081-3083.

Mathematics

Geometric Topology

cosmetic changes only; final version, to appear in Proc. Amer. Math. Soc

Scientific paper

10.1090/S0002-9939-06-08352-3

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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