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…
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…
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…