4 papers
Sandwiched singularities and nearly Lefschetz fibrations
Olga Plamenevskaya, Laura Starkston
We study Milnor fibers and symplectic fillings of links of sandwiched singularities, with the goal of contrasting their algebro-geometric deformation theory and symplectic topology…
An Unexpected Rational Blowdown
Márton Beke, Olga Plamenevskaya, Laura Starkston
The rational blowdown operation in 4-manifold topology replaces a neighborhood of a configuration of spheres by a rational homology ball. Such configurations typically arise from r…
Contact 3-manifolds that admit a non-free toric action
Aleksandra MarinkoviÄ, Laura Starkston
We classify contact toric 3-manifolds up to contactomorphism, through explicit descriptions, building off of work by Lerman [Lerman03]. As an application, we classify all contact s…
Properties of contact toric structures and concave boundaries of linear plumbings
Aleksandra MarinkoviÄ, Jo Nelson, Ana Rechtman +3
We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact st…