Complex Ball Quotients and New Symplectic 4-manifolds with Nonnegative Signatures

Anar Akhmedov, Sümeyra Sakallı, Sai-Kee Yeung

We present the various constructions of new symplectic $4$-manifolds with non-negative signatures using the complex surfaces on the BMY line $c_1^2=9{\chi }_h$, the Cartwright-Steger s…