4 papers
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 -manifolds with non-negative signatures using the complex surfaces on the BMY line , the Cartwright-Steger s…
Generalized Chain Surgeries and Applications
Anar Akhmedov, Çağrı Karakurt, Sümeyra Sakallı
We describe the Stein handlebody diagrams of Milnor fibers of Brieskorn singularities . We also study the natural symplectic operation by exchanging two Stein…
On the BV structure on the cohomology of moduli space
Sümeyra Sakallı, Alexander A. Voronov
The question of vanishing of the BV operator on the cohomology of the moduli space of Riemann surfaces is investigated. The BV structure, which comprises a BV operator and an antib…
Deformation of Singular Fibers of Genus Fibrations and Small Exotic Symplectic -Manifolds
Anar Akhmedov, Sümeyra Sakalli
We introduce the -nodal spherical deformation of certain singular fibers of genus fibrations, and use such deformations to construct various examples of simply connected min…