3 citations · 5 across the 9 of their papers we have counts for
13 papers
Xiao's Degree-Four Fibration and the Polizzi Model
Anar Akhmedov, Sümeyra Sakallı
Let be the surface in Xiao's degree-four family identified by Polizzi as a smooth divisor in . Starting from Polizzi's branch model and Xiao's classification of the thi…
Gurtas Lefschetz Fibrations, Rational Blowdowns, and Exotic Symplectic Four-Manifolds
Anar Akhmedov, Sümeyra Sakallı
We study negative spheres obtained from exceptional sections of Gurtas Lefschetz fibrations. Starting with the known system of disjoint -sections, we show that a marked…
Construction and Periodicity of Minimal Resolution Graphs of Suspension Singularities
Sümeyra Sakallı, Claudia Salles
We develop computational tools for constructing the minimal resolution graphs of suspension singularities. In particular, we provide a Magma program that implements Nemethi's algor…
The contact cut graph and a Weinstein -invariant
Nickolas Castro, Gabriel Islambouli, Jie Min +3
We define and study the contact cut graph which is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings. We show how orient…
Splitting Algebraic Singular Fibrations via Perturbation of Branch Covers
Sümeyra Sakallı, Jeremy Van Horn-Morris
In a previous paper \cite{SV}, the authors studied the isolated singular fibers that can occur in algebraic fibrations of certain genus two fibrations. There the goal was to determ…
Singular fibers in algebraic fibrations of genus 2 and their monodromy factorizations
Sümeyra Sakallı, Jeremy Van Horn-Morris
Kodaira's classification of singular fibers in elliptic fibrations and its translation into the language of monodromies and Lefschetz fibrations has been a boon to the study of 4-m…
Slicing knots in definite 4-manifolds
Alexandra Kjuchukova, Allison N. Miller, Arunima Ray +1
We study the -slicing number of knots, i.e. the smallest such that a knot bounds a properly embedded, null-homologous disk in a punctured…
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…
Symplectic 4-Manifolds on the Noether Line and between the Noether and Half Noether Lines
Sümeyra Sakallı
We construct simply connected, minimal, symplectic 4-manifolds with exotic smooth structures and each with one Seiberg-Witten basic class up to sign, on the Noether line and betwee…
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…
On the geography of simply connected nonspin symplectic -manifolds with nonnegative signature
Anar Akhmedov, Sümeyra Sakallı
In \cite{AP3, AHP}, the first author and his collaborators constructed the irreducible symplectic -manifolds that are homeomorphic but not diffeomorphic to $(2n-1){\mathbb{CP}}^…