Note on new symplectic 4-manifolds with nonnegative signature

Anar Akhmedov

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arXiv · 1207.1973

Note on new symplectic 4-manifolds with nonnegative signature

Anar Akhmedov

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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 $c_1^2 = 9χ_h$, the fake projective planes and Cartwright-Steger surfaces. Our construction yields an infinite family of fake rational homology $(2n-1)\CP#(2n-1)\CPb$ for any integer $3 \leq n \leq 22$.

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Anar Akhmedov. 2012-07-09. Note on new symplectic 4-manifolds with nonnegative signature. https://arxiv.org/abs/1207.1973

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