The Geography of Spin Symplectic 4-Manifolds

Details The Geography of Spin Symplectic 4-Manifolds The Geography of Spin Symplectic 4-Manifolds

2000-08-22

arxiv.org/abs/math/0008161v2

Mathematics

Geometric Topology

This is a revised version. AMS-LaTeX file, 13 pages with 2 eps-figures. Minor errors and grammatical problems are corrected. T

Scientific paper

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
$(\chi, c)$ lying in $0 \leq c \leq 8.76\chi$. 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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