The Geography of Spin Symplectic 4-Manifolds
Abstract
In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points (, c) lying in 0 ≤ c ≤ 8.76. Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on (2n+1)(S2 × S2) for all n large enough.
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