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 $c_1^2=9{\chi }_h$, 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 $3\le n\le 22$.

9 pages, 1 figure

References in corpus (1)

• Generalized fibre sums of 4-manifolds and the canonical class