Wolfgang Kühnel

Abstract:   For compact 2-manifolds, the minimum number of vertices for any simplicial triangulation is well known. It is essentially the Heawood coloring number. We find a similar bound for compact 4-manifolds and, in particular, show that it is sharp for the K3 surface. This admits a highly symmetric 16-vertex triangulation: a peculiar triangulation for a peculiar manifold.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.