The geography of symplectic 4-manifolds with an arbitrary fundamental group

Park, Jongil

doi:10.1090/S0002-9939-07-08818-1

The geography of symplectic $4$-manifolds with an arbitrary fundamental group
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Proc. Amer. Math. Soc. 135 (2007), 2301-2307 Request permission

Abstract:

In this article, for each finitely presented group $G$, we construct a family of minimal symplectic $4$-manifolds with $\pi _1 =G$ which cover most lattice points $(x, {\mathbf c})$ with $x$ large in the region $0 \leq {\mathbf c} < 9x$. Furthermore, we show that all these $4$-manifolds admit infinitely many distinct smooth structures.

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