Note on new symplectic 4-manifolds with nonnegative signature
Abstract
In this short note, we present a construction of new symplectic 4-manifolds with non-negative signature using the complex surfaces on Bogomolov-Miyaoka-Yau line c12 = 9h, the fake projective planes and Cartwright-Steger surfaces. Our construction yields an infinite family of fake rational homology (2n-1)#(2n-1) for any integer 3 ≤ n ≤ 22.
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