The geometric genus of normal surface singularities

Tuesday, February 11, 2014 -
4:30pm to 5:30pm
We discuss several topological characterizations of the geometric genus of a complex normal surface singularity under certain topological and analytic restrictions. The `classical' cases include the rational and elliptic singularities. More recent characterizations in terms of the Seiberg-Witten invariant and lattice cohomology of the link include more general classes (weighted homogeneous, splice quotients). In terms of the multi-variable divisorial filtration we explain how the Seiberg-Witten invariant appears naturally, and we provide some motivation for the definition of the lattice cohomology as well.
András Némethi
Alfréd Rényi Institute of Mathematics
Event Location: 
Fine Hall 322