89 citations · 224 across the 19 of their papers we have counts for
23 papers
Planar multilinks and rational singularities
Márton Beke, Olga Plamenevskaya
Fibered multilinks are a generalization of classical fibered knots and open books that arise in the study of surface singularities and Milnor fibrations. We prove that if the canon…
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…
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…
Stein fillings vs. Milnor fibers
R. Inanc Baykur, A. Nemethi, O. Plamenevskaya
Given a link of a normal surface singularity with its canonical contact structure, we compare the collection of its Stein fillings to its Milnor fillings (that is, Milnor fibers of…
On uniqueness of symplectic fillings of links of some surface singularities
Olga Plamenevskaya
We consider the canonical contact structures on links of rational surface singularities with reduced fundamental cycle. These singularities can be characterized by their dual resol…
Unexpected Stein fillings, rational surface singularities, and plane curve arrangements
Olga Plamenevskaya, Laura Starkston
We compare Stein fillings and Milnor fibers for rational surface singularities with reduced fundamental cycle. Deformation theory for this class of singularities was studied by de…