Geometry and Topology Seminar

Heegaard Floer theory consists of a set of invariants of three-
and four-dimensional manifolds. Three-manifolds with the simplest Heegaard
Floer invariants are called L-spaces and the name stems from the fact that
lens spaces are L-spaces. The primary focus of this talk will be on the
question of which knots in the three-sphere admit L-space surgeries. We
will also discuss about possible characterizations of L-spaces that do not
reference Heegaard Floer homology.