Links of surface singularities: Milnor fillings and Stein fillings

Geometry Topology Seminar
Friday, March 17, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 005
Olga Plamenevskaya – Stony Brook
W. Bloomquist, A. Christian, C. Köse, M. Kuzbary, J. Simone, L. Tovstopyat-Nelip, H. Turner

A link of an isolated complex surface singularity is the intersection of the surface with a small sphere centered at the singular point. The link is a smooth 3-manifold that carries a natural contact structure (given by complex tangencies); one might then want to study its symplectic or Stein fillings. A special family of Stein fillings, called Milnor fillings, can be obtained by smoothing the singular point of the original complex surface.  We will discuss some properties and constructions of Milnor fillings and general Stein fillings, and ways to detect whether the link of singularity has Stein fillings that do not arise from smoothings.