The Geography of Spin Symplectic 4-Manifolds

Jongil Park

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The Geography of Spin Symplectic 4-Manifolds

Jongil Park

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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 $(χ, c)$ lying in $0 \leq c \leq 8.76χ$. Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on $(2n+1)(S^2 \times S^2)$ for all n large enough.

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Jongil Park. 2001-08-31. The Geography of Spin Symplectic 4-Manifolds. https://arxiv.org/abs/math/0008161

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