Small Irreducible Symplectic 4-manifolds with Abelian Non-cyclic Fundamental Group
نویسنده
چکیده
there exists a symplectic irreducible 4-manifold X with π1(X) = G and (c 2 1(X), χh(X)) = (c, χ). The characteristic numbers are given in terms of χh = 1/4(e+σ) and c 2 1 = 2e+3σ, where e is the Euler characteristic of the manifold X and σ its signature. To describe conditions under which smooth 4-manifolds are unique has been a theme in 4-manifold theory for quite some time. Besides its role in the Geography problem for these two fundamental groups, Theorem 1 is an effort in the study of the following conjecture introduced in [5].
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