For an isolated singularity, the intersection with a small sphere forms a smooth manifold, called the link of a singularity. It admits a canonical contact structure, and this turns out to be a fine invariant of singularities and provides an interesting playground to explore relationships between contact topology and singularity theory. In this talk, we briefly introduce results on contact topology of singularities in terms of exotic contact spheres, uniqueness of symplectic fillings, and Floer theory.
